The length of the steel band that fastens the three 2-ft cylindrical drums is (6 + 2·π) ft
What is a cylinder?A cylinder is a three dimensional solid with a horizontal circular cross-section and a vertical rectangular cross section, such that the sides of the cylinder are parallel.
Number of drums = 3 drums
The diameter of each drum = 2-ft
The cross-section of each drum = A circle
The distance between two poinrts of tangency of the steel band = 2 × The radius = The diameter of each drum
Distance between two points of tangency = 2 ft.
The number of distances between two points of tangency on the cylinders = 3
The length of the steel band that curves round each circle is found as using the formular for finding the length of an arc of a circle, as follows;
Angle made at the center of the circle = 90° + 30° = 120°
Length of the arc with angle 120° at the center is therefore;
Length of arc = (120/360)× 2 × π × 1 = (2/3)·π
The total length of the band = 3 × 2 + 3 × (2/3·π) = 6 + 2·π
The length of the steel band = (6 + 2·π) feetLearn more about the length of an arc of a circle here: https://brainly.com/question/8874258
#SPJ1
Fiona and Iliana went to a going-out-of-business sale at a local video store. The store was advertizing all HD videos on sale for one price and all classic videos for a different price. Fiona bought 5 HD videos and 2 classic videos for $31. Iliana bought 5 classic videos and 3 HD videos for $30. Which system of equations can be used to find the prices of the classic and HD videos?
5 x + 2 y = 31. 5 x + 3 y = 30.
5 x + 2 y = 30. 3 x + 5 y = 31.
5 x + 2 y = 30. 5 x + 3 y = 31.
5 x + 2 y = 31. 3 x + 5 y = 30.
The linear system of equations to represent the given scenario is 5 x + 2 y = 31 and 3 x + 5 y = 30. Therefore, option D is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, Fiona and Iliana went to a going-out-of-business sale at a local video store.
Let the cost of each HD videos be x and the cost of each classic videos be y.
Fiona bought 5 HD videos and 2 classic videos for $31.
5x+2y=31 ------(I)
Iliana bought 5 classic videos and 3 HD videos for $30.
3x+5y=30 ------(II)
Multiply equation (I) by 5, we get 25x+10y=155 ------(III)
Multiply equation (II) by 2, we get 6x+10y=60 ------(IV)
Subtract equation (IV) from equation (III), we get
25x-6x=155-60
19x=95
x=5
Substitute x=5 in equation (I) we get
25+2y=31
2y=6
y=3
So, solution is (5, 3)
Therefore, option D is the correct answer.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
In the year 2020, there were 14.02 billion cell phones in use worldwide. In 2022, the number increased to 15.96 billion worldwide. What is the average rate of change in the number of worldwide cell phones?
If 20 mL graduate weighs 85.49 grams, and 15 mL of distilled water is measured in it, the combined weight of the graduate and water is 100.28 grams. Because 15 mL of water should weigh 15 grams, calculate the weight of the measured water, and then express any deviation from 5 g as a percentage of error.
Using percentage error, the measured weight is 0.5% less than the expected weight.
What is Percentage ErrorThe percentage error serves as a gauge for how closely a computed or experimental result matches the true or accepted value. It is determined as the true or accepted value multiplied by 100% times the absolute difference between the experimental or calculated value and the true or acceptable value.
The formula for percentage error is:
Percentage Error = (|experimental value - true value| / true value) x 100%
The weight of the distilled water can be calculated by subtracting the weight of the graduate from the combined weight of the graduate and water:
weight of water = 100.28 g - 85.49 g = 14.79 g
To calculate the percentage error, you can use the formula:
(measured weight - actual weight) / actual weight * 100%
The actual weight of 15 mL of distilled water is 15 g, so the percentage error is:
(14.79 g - 15 g) / 15 g * 100% = -0.5%
So, the deviation from the expected weight of 5 g is -0.5%, which means the measured weight of the distilled water is 0.5% less than the expected weight.
Learn more on percentage error here;
https://brainly.com/question/5493941
#SPJ1
Multiplicar (my-4) (m-1y4)
The value after the multiplication of the given expression gives 1.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given expression is (m y⁻⁴) (m⁻¹ y⁴).
We have to multiply this.
We have some of the rule of exponents that,
xᵃ . xᵇ = xᵃ⁺ᵇ and x⁰ = 1
(m y⁻⁴) (m⁻¹ y⁴) = (m m⁻¹) (y⁻⁴ y⁴)
= (m¹⁺⁽⁻¹⁾) (y⁽⁻⁴⁾⁺⁴)
= m⁰ y⁰
= 1
Hence the value is 1.
Learn more about Multiplication here :
https://brainly.com/question/13660788
#SPJ1
solve the system of linear equations by substitution. Check your solution. y=2x+5 y=3x+5
The value of x and y is 0 and 5.
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation.
Here, we have
Given: Equations y=2x+5, y=3x+5
We have to solve these equations by substitution.
y = 2x+5...(1)
y = 3x+5...(2)
From equation (1) we get
y = 2x+5
Now, we put the value of y in equation(2) and we get
2x+ 5 = 3x+5
x = 0
Now, we put the value of x in equation(1) and we get
y = 2(0) + 5
y = 5
Hence, the value of x and y is 0 and 5.
To learn more about the equation from the given link
https://brainly.com/question/25976025
#SPJ1
Determine whether the following statement is always, sometimes, or never true
The statement is always true that if |a| > 0, then the graph of f(x) = a∛x rises as x increases. The solution is obtained by graphing the function.
What is graphing of a function?
Drawing the graph of an applicable function is the process of graphing a function. While graphing simple functions like direct, quadratic,etc. is fairly easy, complex functions like rational, logarithmic,etc. bear some complexity and an understanding of certain fine ideas. Every point on the curve will satisfy the function equation if the curve represents the function.
We are given a function f(x) = a∛x.
We know that |a| will always be greater than or equal to 0 irrespective of "a" being positive or negative.
If |a| > 0, then the graph of f(x) = a∛x is a vertical stretch of the graph of g(x) = ∛x.
The graph for g(x) = ∛x is shown below.
Since, g(x) = ∛x rises as x increases, the same must be true for f(x) = a∛x.
Hence, if |a| > 0, then the graph of f(x) = a∛x rises as x increases.
Learn more about graphing function from the given link
https://brainly.com/question/17089414
#SPJ1
Explain how you would use order of operations to evaluate the algebraic expression y+ ( x2 - 2)/2 for x = 10 and y = 3. What would the value of the simplified expression be?
The value of the given expression at the given points is 52.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.
An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.
Consider, the given expression
y + (x^2 - 2)/2
We have to find the value of expression at x = 10 and y = 3
Plug x = 10 and y = 2 in the above equation.
3 + (10^2 - 2)/2
3 + (100 - 2)/2
3 + 98/2
3 + 49
52
Hence, the value of the given expression at the given points is 52.
To know more about expression, click on the link
https://brainly.com/question/723406
#SPJ1
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of milk are
needed for 8 servings?
Answer:4
Step-by-step explanation:
First you need to find how many cups of milk is in one serving. So, you take 2 1/2 and divide it by 5 to get 1/2 then you multiply 1/2 by eight to get 8/2. Simplify to get your answer which is 4.
If you have 12% withheld for federal taxes, 7% for state taxes, and FICA is 8%, how much are your involuntary withholdings in all if your gross pay was $1,375?
Answer:
To calculate the involuntary withholdings in all, you need to add up the amounts withheld for federal taxes, state taxes, and FICA.
First, calculate the amount withheld for federal taxes. To do this, multiply your gross pay of $1,375 by 12%, which is the percentage withheld for federal taxes:
$1,375 x 12% = $165
Next, calculate the amount withheld for state taxes. To do this, multiply your gross pay of $1,375 by 7%, which is the percentage withheld for state taxes:
$1,375 x 7% = $96.25
Next, calculate the amount withheld for FICA. To do this, multiply your gross pay of $1,375 by 8%, which is the percentage withheld for FICA:
$1,375 x 8% = $110
Now add the three amounts withheld for federal taxes, state taxes, and FICA
$165 + $96.25 + $110 = $371.25
So, the involuntary withholdings in all if your gross pay was $1,375 is $371.25
Which of the following is the correct solution to the linear inequality shown
below?
y<2/3x+1
-
The line of the inequality will be dotted and the origin is the solution to the inequality. Hence option A is the correct option.
What is inequality?Inequalities are mathematical expressions in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given the equation of the inequality is y <2/3 x +1.
The inequality contains a less than symbol.
If an inequality contains less than or equal/ greater than or equal sign, then the line of the inequality will be solid.
If an inequality contains less than or greater than, then the line of the inequality will be dotted.
The line of the given inequality will be dotted.
Now putting x = 0, y = 0 in the inequality:
0< (2/3×0) + 1
0 < 1 true.
Thus (0,0) is a solution to the inequality.
To learn more about graph visit:
https://brainly.com/question/17267403
#SPJ1
someone figure this out please
Answer:
24.3 miles per gallon
Step-by-step explanation:
the equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
given
y = 24.3 ← is in slope- intercept form with c = 0
the slope is the rate of change , then
rate of change = 23.4 miles per gallon
2. What is the length of segment AB?
•20√/3cm
•10cm
•20cm
•10√3cm
The section of a line that connects A and B.AB line A and B are on an infinite line.Segment AB has a length of 10 units.
What is the length of segment AB?The section of a line that connects A and B.AB line A and B are on an infinite line.By calculating the distance between a line segment's two endpoints, its length can be calculated.It is the route that has a known length and can be measured between the two points.Using the distance formula between two endpoints, one can calculate the length of a line segment on a graph.It turns into a line segment if you mark two points on it, A and B, and then choose this segment independently.A and B, the ends of this line segment, both have fixed lengths.
The length of this line segment equals the distance between endpoints A and B.
A(x A: y A):B (x B: yB )
The distance between A and B
d = √( x B - x A )² + Y B - YA ) ²
A( 6: 2) :B( 0: 10)
AB = √(0 - 6 )² + ( 10 - 2) ²
= √6² +8² = √36 +64\s= √ 100 = 10
Segment AB has a length of 10 units.
To learn more about segment refer
https://brainly.com/question/4132150
#SPJ1
Assuming all segments that appear to be tangent to circle J are tangents, find the perimeter of triangle DEF.
The perimeter of the triangle DEF is equal to 73 considering the segments tangent to circle J
What are the segments tangent to the circleA theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.
DG = FG = 11
DF = 2 × 11
DF = 22
DH = FI = 9.5
and
EH = EI = 16
so!
ED = 9.5 + 16
ED = 25.5
EI = 16 + 9.5
EI = 25.5
perimeter of triangle DEF = DF + ED + EF
perimeter of triangle DEF = 22 + 25.5 + 25.5
perimeter of triangle DEF = 73
Therefore, 73 is the perimeter of the triangle DEF considering the segments tangent to the circle J.
Know more about tangent to circle here:https://brainly.com/question/9132922
#SPJ1
Leila has a rectangle poster. The poster is 1.8 meters long and 1.25 meters wide. What is the area of the poster in square centimeters?
Answer:
22500 square centimeters
Step-by-step explanation:
1.8 meters= 180 cm
1.25 meters= 125 cm
180 times 125 = 22500
given that f(n)=8n-4 evaluate f with the indicate values f(1)
Answer:4
Step-by-step explanation: you would just plug the one in for every x there is so 8(1)-4=8-4=4
function of f-1 (x)=4x-5
Answer: -9
Step-by-step explanation: f(x)=f(-1) meaning that x=-1, so you plug the value of x into the equation. 4(-1) - 5 = -4 - 5 = -9
Pls help the answer choices r ,
3/7
4/7
5/7
2/7
The probability of choosing the city is 3/7.
What is probability ?
probability can be defined as the ratio of favourable outcomes and total number of outcomes.
Given , Sample space = {india , chicago ,tokyo ,peru ,miami ,canada ,mexigo }
Given if we chosen randomly the city.
so the favourable = { chicado,tokyo,miami }
So, the probability of choosing the city is = x/s
where x is favourable outcomes
s is sample space
x = 3
s = 7
probability = 3/7
Hence, The probability of choosing the city is 3/7.
To learn more about probability from the given link.
https://brainly.com/question/30034780
#SPJ1
Suppose it takes the population of a certain strain of bacteria 1 day to double in size. If the initial population is 100 cells, the population of bacteria can be computed days afterward by using the function .f(x)=100*2^x
Use the graph to answer the questions.
What is the population after 7 days?
cells
When will the population first exceed 60000 cells?
days (round down to the nearest tenth of a day)
The population of the cells after 7 days is 12800 cells.
The population will first exceed 60000 cells after 9.2 days.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Initial population = 100 cells
The number of population after x days is given by.
f(x) = 100 x [tex]2^x[/tex]
Now,
The population after 7 days.
f(7) = 100 x [tex]2^7[/tex]
f(7) = 100 x 8 x 8 x 2
f(7) = 100 x 2 x 64
f(7) = 200 x 64
f(7) = 12800
The population after 9 days.
= 100 x 512
= 51,200
The population after 9.23 days.
= 100 x 600.49
= 60049
The population after 10 days.
= 100 x 1024
= 102,400
This means,
The population will exceed 60,000 after 9.23 days
Thus,
The population after 7 days is 12800.
The population will exceed 60,000 population after 9.2 days.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
If a = 17, what is 18a - 89 ?
Answer: 18(a)-89=217
Step-by-step explanation:
If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.
Hope this helped.
Answer:217
Step-by-step explanation:
putting the value of a in the equation.
18×17-89= 217
The following table shows how many pies 4 baking teams made at a pie-baking competition. For example, Team Crusty baked 28 pies in 8 hours Which team made pies at a rate of 4.5 point, 5 per
Answer:
Step-by-step explanation:
Given:
The complete data is,
Team Pies Hours
Crusty 28 8
Pie Peace 27 6
Fab bakers 20 4
Yum 26 5
To find:
The team that made pies at a rate of 4.5 per hour.
Solution:
From given table, we have,
Team Crusty made 28 pies in 8 hours.
Team Pie Peace made 27 pies in 6 hours.
Team Crusty made 20 pies in 4 hours.
Team Crusty made 26 pies in 5 hours.
In order to calculate the pies made per rate, we need to divide the number of pies made by total time taken.
So, we get,
Team Crusty = 28 pies / 8 hours = 3.5 pies per hour.
Team Pie Peace = 27 pies / 6 hours = 4.5 pies per hour.
Team Crusty = 20 pies / 4 hours = 5 pies per hour.
Team Crusty = 26 pies / 5 hours = 5.2 pies per hour.
Therefore, team Pie Peace made pies at a rate of 4.5 per hour
Find the measure of the exterior angle
Measure of exterior angle = 139°
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In the figure
Measure of exterior angle = 15x + 34
Measure of opposite interior angle = 12x + 26 and 29°
But, measure of exterior angle is equal to sum of opposite two angles
⇒ 15x + 34 = 12x + 26 + 29
⇒ 15x - 12x = -34 + 26 + 29
⇒ 3x = 21
⇒ x = 21/3
⇒ x = 7
Measure of exterior angle = 15x + 34
= 15(7°) + 34°
= 105° + 34°
= 139°
Hence, 139° is the measure of exterior angle.
Learn more about exterior angle here:
https://brainly.com/question/28835566
#SPJ1
Consider the system.
6x-3y = 66
x + 3y = -10
Complete the description for three different substitution methods that can be used to solve the system.
Solve the second equation for x (x = - 3y) and then substitute the value into the first equation.
Solve the first equation for y (y = 2x - ) and then substitute that value into the second equation.
Solve either equation for 3y (3y = - x or 3y = 6x - ) and then substitute that value into the other equation.
The points of solution that are obtained for the system of linear equations 6x - 3y = 66 and x + 3y = -10 are (8,6).
The substitution methods given are incomplete and incorrect.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The system of linear equations are -
6x - 3y = 66....(1)
x + 3y = -10....(2)
Simplify the equation (1) and (2) by adding -
6x + x - 3y + 3y = 66 - 10
7x = 56
x = 8
Substituting the value of x = 8 in equation (1) -
6x - 3y = 66
6(8) - 3y = 66
48 - 3y = 66
-3y = 66 - 48
-3y = 18
y = -6
Therefore, the final value is obtained as (8,6).
To learn more about linear equation from the given link
brainly.com/question/14323743
#SPJ1
The Ferris wheel shown makes 17 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π. diameter 54 feet
Answer: To find the distance traveled during one ride, we need to find the circumference of the circle formed by the Ferris wheel's rotation. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Given that the diameter of the Ferris wheel is 54 feet, we can find the radius by dividing the diameter by 2:
r = 54 / 2 = 27
Therefore, the circumference of the circle is:
C = 2πr = 2 * 3.14 * 27 = 170.68
To find the distance traveled during one ride, we need to multiply the circumference by the number of revolutions:
distance = C * 17 = 170.68 * 17 = 2,908.76
Rounded to the nearest whole number, the distance traveled during one ride is 2909 feet.
Step-by-step explanation:
For a recent year, 49 more Democrats than Republicans represented a country. If the total number of representatives of the country from these two parties was 427, find the number of representatives from each party.
Answer:
Step-by-step explanation:
46
Find measure of each angle(pic included)
Answer:
m∠D = m∠E = 80°
Step-by-step explanation:
You want the measures of the angle of elevation (∠E) from A to B and the angle of depression (∠D) from B to A when they are described by the expressions 7x-4 and 4(x+8), respectively.
AnglesThe angle of elevation and the angle of depression between the same two points have the same measures.
m∠E = m∠D
7x -4 = 4(x +8)
7x -4 = 4x +32
3x = 36 . . . . . . . . add 4-4x to both sides
x = 12 . . . . . . . . divide by 3
4(x +8) = 4(20) = 80 . . . . . . . . find the angle measures
Each of the angles has a measure of 80°.
Which expression below represents the average wages a company pays per employee each week 
19(360) + 18(400) + 8(480) + 5(600) / 19 + 18 + 8 + 5 this expression
represents the average wages a company pays per employee each week
Correct option is: E
What is an expression?An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) It is possible to compare expressions to phrases.
Mathematical expressions consist of at least two integers or parameters, at least one arithmetic operation, as well as a statement. Any one of the following mathematical operations can be used i.e multiply, divide, add, or subtract. The form of an expression is as follows: (Math Operator, Number/Variable, Expression)
From the table we get this -
Wages the company pays to employees each week:
= 19(360) + 18(400) + 8(480) + 5(600)
Total number of employees:
= 19 + 18 + 8 + 5
Thus,
the average wages a company pays per employee each week:
= Wages the company pays to employees each week / Total number of employees
= 19(360) + 18(400) + 8(480) + 5(600) / 19 + 18 + 8 + 5
Correct option is: E
To know more about expression refer to:
brainly.com/question/1859113
#SPJ1
A helicopter hovers 1300 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 45°
How far off
the coast, to the nearest foot, is the island?
(Round to the nearest whole number)
The distance of coast from the nearest foot of the island is, 1300 feet
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
A helicopter hovers 1300 feet above a small island
The angle of depression from the helicopter to point P = 45°
How far is cost from the nearest foot = ?
So, here we can use methods of height and distance
here, we have height = 1300 feet
α = 45°
x = ?
tanα = h/x
tan45° = 1300/x
1 = 1300/x
x = 1300
Hence, the nearest foot is at a distance of 1300 feet
To know more about angle check:
https://brainly.com/question/28451077
#SPJ1
A mechanic charges a very reasonable $ 40 $ 40 per hour to work on cars. For a particular repair, $ 120 $ 120 worth of parts are required. Let x x represent the number of hours that the mechanic works on the car, and let y y represent the total cost of the repair: 1 2 3 4 5 6 7 8 -1 -2 40 80 120 160 200 240 280 320 360 -40
The relationship between the number of hours and cost shows a proportional relationship.
How to illustrate the proportion?A proportion is an equation that sets two ratios at the same value. A proportion is an equation that sets two ratios at the same value. One variable in a proportional relationship is always a constant value multiplied by the other.
In this case, mechanic charges a very reasonable price per hour to work on cars. This was illustrated as the relationship between the number of hours and cost was given
For 1 hour, cost is $40, for 2 hours, the cost is $80. In this case, there's a proportional relationship. The cost per hour will be:
= $20 / 1
= $20
Learn more about proportion on:
https://brainly.com/question/870035
#SPJ1
Complete question
mechanic charges a very reasonable $ 40 $ 40 per hour to work on cars. For a particular repair, $ 120 $ 120 worth of parts are required. Let x x represent the number of hours that the mechanic works on the car, and let y y represent the total cost of the repair: 1 2 3 4 5 6 7 8 -1 -2 40 80 120 160 200 240 280 320 360 -40. Is the relationship proportional?
Lyle has a bowl that contains 0.8 kilograms of salt he uses a spoon to remove 850 centigrams of salt how much salt (in centigrams) is still in the bowl remember that units need to be equal in order to compare
Using the standard metric system, the mass of salt left in the bowl is equal to 791.5g
What is Mass LeftTo determine the mass left in the bowl, we have to use the understanding of metric system.
1kg = 1000g
0.8kg = xg
Cross multiply both sides and solve for x
x = 1000 * 0.8
x = 800g
The mass of salt in the bowl originally was 800g.
But 850cg was removed from it;
1g = 100cg
xg = 850cg
Cross multiply both sides and solve for x;
This will give us
x = 850 / 100
x = 8.5g
The amount of salt left = 800 - 8.5 = 791.5g
Learn more on metric system here;
https://brainly.com/question/1837503
#SPJ1
determine the value(s) for which the rational expression (9a-11)/(-a-9) is undefined.
The value for which the rational expression is undefined is a = -9
How to determine the value(s) for which a rational expression is undefined?A rational expression is an expression that is the ratio of two polynomials. It is also known as a fraction in which the numerator and denominator are both polynomials.
To determine the values for which a rational expression is undefined, you need to find the values that make the denominator of the expression equal to zero.
Since we have (9a-11)/(-a-9), equate the denominator to 0 and solve for a. That is:
-a-9 = 0
-a = 9
a = -9
Thus, a = -9 is the value for which the rational expression is undefined.
Learn more about rational expression on:
brainly.com/question/29061047
#SPJ1