The shortest possible path that goes through all four of these points and returns to the starting point could be 4.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A lattice point can be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
We are Given the shortest distance from the point (0, 0) to the point (3, 4) is 7.
We are required to find the shortest possible path that goes through all four of these points and returns to the starting point.
There can be 4 lattice points that lie on x2−y2 = (x+y)(x−y)=17.
17 has 4 factors: 1,17,−1, and −17.
Hence there can be 4 lattice points.
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A shop keeper bought 26 apples from a fruit vendor for $37.70. How much did each apple cost?
Estimate it.
Draw a Picture to show your work.
Feedback: Do not just put the answer, you have to draw a picture or ELSE you wont have $1100,00 dollars from me if i received your credit card
Answer:
About $1.45
hope this helps and I accept venmo
For the function machine at the left, try 5 more input(x) values other than 4 to see what output you get for y. Use the the table to help you test other values.
Did any of the input value get more than one possible output?
No there is no input value can give more than one output.
what is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y= 2x+ 3
Now, take x= 5
y= 2(5)+ 3
y= 13
and, take x= 6
y = 2(6)+ 3
y = 15
and, take x= 7
y= 2 x 7 +3
y= 17
and, take x= 8
y = 2x 8 + 3
y = 19
and, take x= 9
y= 2x 9 + 3
y = 21
No there is no input value can give more than one output, it is only possible in quadratic equation.
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A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 8 feet by 5 feet. The two large triangular faces have a height of 6.3 feet. The two small triangular faces have a height of 7 feet.
How much glass is needed to cover the entire pyramid?
250.8 ft2
167.6 ft2
125.4 ft2
62.7 ft2
Answer: 125.4ft
Step-by-step explanation:
[tex]3x^{2} +5x+2[/tex]
The solutions to the given quadratic equation is x = -1 and x = -2/3.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The quadratic equation is given in the question, as follows:
3x² + 5x + 2 = 0
We have to determine the solution to the given equation.
As per the question, we have
3x² + 5x + 2 = 0
3x² + 3x + 2x + 2 = 0
3x(x+1) +2(x+1) = 0
(x+1)(3x+2) = 0
Factor equating to zero,
(x+1) = 0 and (3x+2) = 0
x = -1 and x = -2/3
Thus, the solutions are x = -1 and x = -2/3.
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The question seems to be incomplete the correct question would be:
Find the solution to the below quadratic equation.
3x² + 5x + 2 = 0
t² − 8t + 16 help me give an expression in the form (t+a)sqrd where a is integer
Answer:
To express the given expression T² − 8t + 16 in the form (t+a)sqrd , we need to factor it.
We can start by noticing that T² − 8t + 16 can be written as (T-4)² which is the square of a binomial.
We can see that T² − 8t + 16 can be factored as (T-4)² .
So the expression T² − 8t + 16 can be expressed in the form (t+a)sqrd where a = -4
(t-4)² = (t+(-4))²
So the expression T² − 8t + 16 can be expressed in the form (t-4)²
I need help pls pls pls
Answer:
The lateral surface area of a cylinder is the area of the curved surface that goes around the cylinder. It can be calculated using the formula:
Lateral Surface Area = 2πrL
where π is pi, r is the radius, and L is the length of the cylinder.
The total surface area of a cylinder is the sum of the lateral surface area and the area of the two circular end caps. It can be calculated using the formula:
Total Surface Area = 2πrL + 2πr^2
Given that r = 20mm and L = 75mm, we can use these values to find the lateral and total surface area of the cylinder:
Lateral Surface Area = 2πrL = 2 * 3.14 * 20mm * 75mm = 4712 mm^2
Total Surface Area = 2πrL + 2πr^2 = 2 * 3.14 * 20mm * 75mm + 2 * 3.14 * 20mm^2 = 4712 mm^2 + 1256 mm^2 = 5968 mm^2
3 cm
3 cm
Surface Area
3 cm
=
[?] cm²
Entor
By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.
What is a 3 cm by 3 cm cube's surface area?The length of a side squared determines the area of one face. By multiplying the area of one face by six, 54 cm2 is obtained as the area of six faces.Six times the square of the cube's side length is the formula for surface area. It is represented by the number 6a2, where a represents the cube's side length. Basically, it is the whole amount of surface.Height + Breadth + Length equals a. As a result, an is the length of each cube edge. The volume of cube formula is thus a a a = a3.By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.
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Solve asap please (I’ll mark brainliest)
Answer:
64
Step-by-step explanation:
2 x 2 x 2 x 2 x 2 x2 = 64
Answer:
2⁶ = 64
Step-by-step explanation:
2⁶
The number two is multiplied six times:
2*2*2*2*2*2
= 64
An elevator can carry 800 pounds of weight. A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Two more football players were in total of 470 pounds come to the elevator can I get down safely?
Answer: No you cannot
Step-by-step explanation:
280 + 95 + 470 = 845
but the max amount of pounds the elevator can carry is 800.
Which situation can be represented by the integer 10?
Answer: The integer 10 can represent various situations such as:
The number of apples in a basket
The number of students in a class
The number of eggs in a carton
The number of minutes in 10/60 of an hour
The number of seconds in 10/60/60 of a day
The number of inches in 10/12 of a foot
and so on
It represents a quantity or a count of something.
Step-by-step explanation:
Examples of simultaneous linear equations
Examples of simultaneous linear equations are 8x-5y=21 and 2x+9y=-5
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.
For the given equations:
8x-5y=21 Equation:1
2x+9y=-5 Equation:2
Solving equation multiply equation 2 with 4 on both the sides
8x+36y=-20 Equation 3
Subtracting Equation:3 from Equation:1
8x-5y-(8x+36y)=21+20
-41y=41
y=-1
Putting value of 'y' in Equation:2 which will give the value of x
2x+9y=-5
2x-9=-5
2x=4
x=2
Thus, 8x-5y=21 and 2x+9y=-5 are simultaneous equations
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p(x) = x2 – 1 and q (x) = 5 (x minus 1), which expression is equivalent to (p – q)(x)?
For the given expressions p(x) = x²–1, q (x) = 5x - 1,
The expression equivalent to (p-q)(x) is, x² -5x
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, p(x) = x²–1
Another expression, q (x) = 5x - 1
The equivalent expression = ?
So now, we can subtract both the expressions
⇒ x²–1 -(5x - 1)
⇒ x²–1-5x+1
⇒ x² -5x
Hence, the equivalent expression is x² -5x
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A triangle has base 6 1/6 and height 7 1/2 find the area of the triangle
Answer: 185/8
Step-by-step explanation:
Area of triangle = Base x Height / 2
Convert numbers into improper fractions:
6 1/6 = 37/6
7 1/2 = 15/2
( 15/2*37/6 )/2 = 185/8
Factor the expression 4x^2 + 9
doesn't factorize unless there is an x or if the 9 is negative
Corey bought 2 pounds of chicken and 4 pounds of beef. The chicken
cost $4 per pound. How much did the beef cost, per pound, if he
spent $20 all together?
Answer: The beef costs $3/lb
Step-by-step explanation: in order: 2x$4=8, 20-8=12, 12/4=3
What is the measurement of the angle?
The measurement of the angle is 105°.
Measuring Angles with a protractor:When two lines meet at a point, an angle is created. An angle is the measure of two rays. It is symbolized by the symbol '√'. Ordinarily, angles are measured in degrees.
A semicircular tool called a protractor is used to measure and draw angles. Degrees from 0 to 180 are marked on it. Any angle between 0 and 360 degrees can be measured using it directly.
The markings range from 0 to 180 degrees in both the right-to-left and left-to-right directions.
Here we have
a protractor marked from right to left as 0 to 180° but not from left
To measure the given angle, count the angle on right from the right that is => 75° [ marking is in between 80° to 70° ]
As we know total angle = 180°
=> Required angle = 180° - 75° = 105°
Therefore,
The measurement of the angle is 105°
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35x2/4 help pls
I need help and fast pls
Answer:
17.5
Step-by-step explanation:
hope it helps :)
Answer:
Step-by-step explanation:
35x2=70/4=17.5
A large truck, traveling 30 miles per hour, carries a letter from the central post office to the local post office. The letter is then loaded onto a local vehicle, which travels at an average speed of 10 miles per hour, until the letter reaches its destination. The large truck carried the letter for a minutes and the local vehicle carried the letter for b minutes. If the total distance that the letter travelled from the central post office to its destination was 24 miles, which of the following equations correctly relates a and b?
The linear equation that will relate a and b is 30a+10b=24.
What is linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
As given
speed and time it carried letter of large truck=30m/h and a
speed and time it carried letter of local vehicle=10m/h and b
Total distance travelled=24miles
As speed=distance/time
distance=speed*time
Hence,
24=30a+10b
i.e. 30a+10b=24
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The stemplot below represents the number of bite-size snacks grabbed by 37 students in an activity for a statistics class.
A stemplot titled Number of snacks has values 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 21, 22, 23, 25, 25, 28, 32, 38, 42, 45.
Which of the following statements best describes the distribution?
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
D
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
What is the probability distribution?
A probability distribution is a mathematical function that describes the probability of different outcomes in a random event or experiment. It is a function that assigns probabilities to each possible outcome of a random variable.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
This statement best describes the distribution of the number of snacks grabbed. The distribution is skewed right because the tail on the right side is longer than the tail on the left side, which indicates that there are more values on the higher end of the scale. The center of the distribution is around 18, and the range of the data is 12 to 45. The values of 38, 42, and 45 are higher than the majority of the data and could be considered outliers.
Hence, the statement which describes the distribution "The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45."
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What is the answer to this10x + 9y = –12
The answer to this10x + 9y = - 12 in terms of x and y are,
x = - (12 + 9y)/10 and y = - (12 + 10x)/9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 10x + 9y = - 12 in terms of 'x' and 'y'.
As we have one expression and two variables solutions for x and y are not possible.
Now, We can write this expression for 'x' in terms of 'y'.
10x + 9y = - 12.
10x = - 12 - 9y.
x = - (12 + 9y)/10.
We can also write this expression for 'y' in terms of 'x'.
10x + 9y = - 12.
9y = - 12 - 10x.
9y = - (12 + 10x).
y = - (12 + 10x)/9.
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Can you answer for me please ASAP.
a) Diagram of pool and walkway.
b) Expression for perimeter of pool = 8w
c) Expression for area of pool = 3w²
d) Expression for perimeter of the walkway outside = 8w + 16
e) Expression for area of pool and walkway = 3w² + 16w + 16
f) Expression for area of walkway = 6w + 16
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Given,
Length of pool = 3 times the width
Walkaway is 2 ft wide all around
Let the length be l and width be w
l = 3w
Perimeter of the pool P = 2l + 2w
P = 2(3w) + 2w
P = 6w + 2w
P = 8w
Area of the pool A = l × w
A = 3w × w
A = 3w²
Length of the walkway outside = 3w + 4
Width of the walkway outside = w + 4
Perimeter of the walkway outside = 2(3w + 4) + 2(w + 4)
= 6w + 8 + 2w + 8
= 8w + 16
Area of the pool and walkway = (3w + 4)(w + 4)
= 3w² + 12w + 4w + 16
= 3w² + 16w + 16
Area of the walkway = Area of the pool and walkway - Area of the pool
= 3w² + 16w + 16 - 3w²
= 16w + 16
Hence,
b)8w is perimeter and
c) 3w² is area of pool.
d) 8w + 16 is the perimeter of the walkway outside,
e) 3w² + 16w + 16 is the area of pool and walkway,
f) 6w + 16 is the area of walkway.
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The graph of a proportional relationship is a _________ _______ that passes through the origin
The graph of a proportional relationship is a straight line that passes through the origin.
What is the Graph of a Proportional Relationship?A proportional relationship is a relationship between two variables in which the ratio of one variable to the other is always constant. In other words, if y is proportional to x, we can write y = kx, where k is a constant.
The graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line is equal to the constant of proportionality k. If k is positive, the line will slope upward from left to right, and if k is negative, the line will slope downward from left to right.
The y-intercept of the graph will always be (0,0) since the line passes through the origin.
Therefore, we can state that: the graph of a proportional relationship is a straight line that passes through the origin.
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least common denominator of 1/6 and 5/9
Answer: To find the least common denominator (LCD) of two fractions, we need to find the least common multiple (LCM) of the denominators.
In this case, the fractions are:
1/6 and 5/9
The denominators are 6 and 9.
The least common multiple (LCM) of 6 and 9 is 18.
So, the least common denominator (LCD) of 1/6 and 5/9 is 18
We can write both fractions with 18 as denominator:
1/6 = 3/18
5/9 = 10/18
So, the least common denominator of 1/6 and 5/9 is 18.
Step-by-step explanation:
NEED HELP MATH RN IN CLASS
The equation that can be represented by the fraction expression ? * 1/8 = 3 is; How many 1/8's are in 3.
How to solve fraction word problems?In word problems on fraction, what we will seek to do is to solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
For example, 3/7 of a number is 84. Find the number.
Solution:
3/7 of a number = 84
Number = 84 × 7/3
What we have done is to multiply 84 by the reciprocal of 3/7
In this question, we want to know the equation that can be represented by; ? * 1/8 = 3
To get the question mark, we will just divide 3 by 1/8.
This expressed in word problem is;
How many 1/8's are in 3?
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what is 2 ( 6x +1 ) equal to
i need help with #3 please!!
A function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).
What do you meant by function ?Domain of [tex]$\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & x \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$[/tex]
Range of [tex]$\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-14 \\ \text { Interval Notation: } & {[-14, \infty)}\end{array}\right]$[/tex]
Axis points of interception [tex]$\sqrt{x+18}-14: \quad$[/tex] X Intercepts: [tex]$(178,0), \mathrm{Y}$[/tex] Intercepts: [tex]$(0,3 \sqrt{2}-14)$[/tex]
Asymptotes of [tex]$\sqrt{x+18}-14$[/tex] : None
Extreme Points of [tex]$\sqrt{x+18}-14$[/tex] : Minimum (-18,-14) .
Domain of [tex]$(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Range of[tex]$(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$[/tex]
Axis points of interception [tex]$(x+14)^2-18: \quad$[/tex] X Intercepts: [tex]$(3 \sqrt{2}-14,0),(-3 \sqrt{2}-14,0)$[/tex], Y Intercepts: (0,178)
Vertex of [tex]$(x+14)^2-18: \quad$[/tex] Minimum (-14,-18)
In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.
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Which statement is true
Late one night a burglar got into one of the vaults in Fort Knox and he stole a big sack of gold coins. On his way out, he was stopped by one of the guards who saw him stealing the bag . Fortunately for him, the burglar was able to negotiate a deal with the guard and offered him half the money he had taken, plus an extra $2,000 thrown in. Just as he was walking away, thinking he had gotten away he was stopped by a second guard who took the same bribe: Half the money with an extra $2000 thrown in. Just as he was about to leave , he was stopped by a third guard who let him go only after receiving half of all the burglar had left with $ 2,000 extra thrown in. By the time he left he had mixed emotions. After all he did leave with $9,000 more than he had when he arrived and he was able to escape. But he thought of all the money he left behind. How much did he steal in the first place?
Answer:
We can start by using algebra to represent the information given in the problem. Let x be the amount of money the burglar stole initially.
According to the problem, when the burglar gave half of the money plus $2,000 to the first guard, he was left with x/2 + 2000.
When he gave the same amount to the second guard, he was left with (x/2 + 2000)/2 + 2000.
And when he gave the same amount to the third guard, he was left with ((x/2 + 2000)/2 + 2000)/2 + 2000.
But we know that he left with $9,000 more than he had when he arrived, So we can say:
((x/2 + 2000)/2 + 2000)/2 + 2000 = x + 9000
We can now solve for x:
x = (900022*2 - 6000)/3
x = 36000/3
x = 12000
So the burglar stole $12000 in the first place.
What is the code for puzzle #2
The correct pairs for each graph and linear function are:
G: y < 2x - 1C: y ≥ x - 1A: y > 2x + 1D: y ≤ x - 2Let's discuss each graph's linear function:
Remember that the linear function format is y = mx + c can be found using 2 given points and formula of:
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
Graph 1
Points: (3, 5) and (-2, -5)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 5 = x - 3
-5 - 5 -2 - 3
y - 5 = x - 3
- 10 -5
y - 5 = 2x - 6
y = 2x - 1
y < 2x - 1
Graph 2
Points: (1, 0) and (0, -1)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 0 = x - 1
-1 - 0 0 - 1
y - 0 = x - 1
-1 -1
y = x - 1
y ≥ x - 1
Graph 3
Points: (0, 1) and (-1, -1)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 1 = x - 0
-1 - 1 -1 - 0
y -1 = x
-2 -1
y - 1 = 2x
y = 2x + 1
y > 2x + 1
Graph 4
Points: (2, 0) and (0, -2)
y - y₁ = x - x₁
y₂ - y₁ x₂ - x₁
y - 0 = x - 2
-2 - 0 0 - 2
y = x - 2
-2 -2
y = x - 2
y ≤ x - 2
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Help wit any will be appreciated
Answer:
z-20
4t+1
2(7x-4)
5(2d+10)
(1/7)(2y-(1/2))
Step-by-step explanation:
Hope this helps
<3 Todo