Answer:
y = (5/9)x + 2
Step-by-step explanation:
Slope intercept form is
y = mx + b then plug in the values
y = (5/9)x + 2
Find the value of x.
Answer:
[tex]\textsf{x=22.5}[/tex]
Step-by-step explanation:
[tex]\textsf{According to intersecting tangent - secant theorem,}[/tex]
[tex]\textsf{x=1/2[(4x+5)-50]}[/tex]
[tex]\textsf{2(x)=4x+5-50}[/tex]
[tex]\textsf{2x=4x-45}[/tex]
[tex]\textsf{2x-4x=-45}[/tex]
[tex]\textsf{-2x=-45}[/tex]
[tex]\textsf{x= -45/-2}[/tex]
[tex]\textsf{x=22.5}[/tex]
[tex]\textsf{OAmalOHopeO}[/tex]
Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations
Answer:
28 - 10 - 15 - 3
=> 18 - 15 - 3
=> 3 - 3
=> 0
Another way:
=> 28 - 10 - 15 - 3
=> 28 - 25 - 3
=> 28 - 28
=> 0
complete the first 4 steps for graphing the quadratic function given.
y= -x^2 -4x -3
ty<3
To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
PLEASE HELP, GIVING 55 POINTS IF YOU ANSWER (08.03/08.05 MC) A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Answer:
A. (1, -2)
B. the lines intersect at the solution point: (1, -2).
Step-by-step explanation:
A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.
This gives ...
3x -5 = 6x -8
Adding 8-3x to both sides, we get ...
3 = 3x
Dividing both sides by 3 gives ...
1 = x
Substituting this value into the first equation, we can find y:
y = 3(1) -5 = -2
The solution is (x, y) = (1, -2).
__
B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).
65. Given a segment with endpoints A and C and midpoint. If A(5, 8), and M(-3,2). Find the
location of C.
Answer:
C(-11,-4)
Step-by-step explanation:
I need help please so if you could help that would be nice. Also i will make brainliest
Pls pls help me! What is it
Answer:
H
Step-by-step explanation:
Jackie
[tex] \sqrt{9} + \sqrt{25} = 3 + 5 = 8[/tex]
Jesse
[tex] \sqrt{9 + 25} = \sqrt{34} [/tex]
Taking the difference, we get the answer to be
[tex]8 - \sqrt{34} [/tex]
Identify the rate of change and term 0
1. 3, 5, 7, 9, 11, 13, 15....
Answer:
-1
mark me brainliest
PLEASE HELP MEEE How can a company use a scatter plot to make future sale decisions
Answer:
by tracking data of how much money was made on one product in a certain amount of time
Step-by-step explanation:
Find m∠A.
A. 32
B. 26
C. 27
D. 30
============================================
Use law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
9^2 = 6^2 + 14^2 - 2*6*14*cos(A)
81 = 36 + 196 - 168*cos(A)
81 = 232 - 168*cos(A)
81 - 232 = -168*cos(A)
-151 = -168*cos(A)
-168*cos(A) = -151
cos(A) = (-151)/(-168)
cos(A) = 0.8988095
A = arccos(0.8988095)
A = 25.9979801
A = 26 degrees approximately
The angle m∠A will be 27. so option C is correct.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
Use law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
9^2 = 6^2 + 14^2 - 2*6*14*cos(A)
81 = 36 + 196 - 168*cos(A)
81 = 232 - 168*cos(A)
81 - 232 = -168*cos(A)
-151 = -168*cos(A)
-168*cos(A) = -151
cos(A) = (-151)/(-168)
cos(A) = 0.8988095
A = 25.9979801
A = 26 degrees approximately
Therefore, the angle m∠A will be 27. so option C is correct.
Learn more about sine to cosine conversion here:
https://brainly.com/question/1421592
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The Stem-and-Leaf Graph shows the amount of money each student spends on food per day in dollars. What is the median for the data in this Stem-and-Leaf Plot? A. $55 B. $73 C. $81 D. $84
Answer:
B) $73
Step-by-step explanation:
add all of your values and divide by the amount of values
52+55+55+55+59+64+66+68+72+73+73+73+73+75+81+81+83+84+84+86+87=
1,499
1,499 divided by 21 = 71.3809523...
which rounds to 73
HOPE THIS HELPS!!! :)
The median is of $48 in the stem leaf plot and option B is correct.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The median of a data-set is the value that separates the bottom 50% from the upper 50% of values.
The graph has 16 values, already ordered.
It is an even number, hence the median is the mean of the 8th and the 9th values, which considering the key are both 48,
Hence, the median is of $48 and option B is correct.
To learn more on Statistics click:
https://brainly.com/question/30218856
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Stem-and-Leaf Plot shows the amount of money each student spends
on travel per day in dollars. What is the median for the data in this graph?
Stem Leaf
A) $35
B) $48
C) $53
D) $54
A sandwich shop offers a choice of 5 types of bread, 4 types of meat, and 3 types of cheese. How many different sandwiches could be made with 1 type of bread, 1 type of meat, and 1 type of cheese?
Answer:
12 type of bread 1 type of meat, 1 type of cheese and 1 type of bread.☺️☺️
A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.
Answer:
??????????????????????????????
A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in the correct sequence. Is the name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. No, because the multiplication counting rule would be used to determine the total number of combinations. B. Yes, because the combinations rule would be used to determine the total number of combinations. C. No, because factorials would be used to determine the total number of combinations. D. No, because the permutations rule would be used to determine the total number of combinations.
The correct answer is D. No because the permutations rule would be used to determine the total number of combinations.
Explanation:
The difference between a combination and a permutation is that in permutations the order is considered. This applies to the numbers in a lock because these need to be in order. Therefore, to analyze the permutations in a lock, the rule for permutations should be used. This includes the general formula P (n,r) =[tex]\frac{n!}{(n-r) !}[/tex]; in this, n is the number of objects and r refers to the objects used in a permutation. Thus, the term "combination" is inappropriate because this is a permutation, and the permutation rule should be used.
help me with the picture please
=====================================================
Explanation:
Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.
The equilateral triangle marked in blue has all three angles 60 degrees each.
Note that the 60 and y angles combined to form 130, so,
60+y = 130
y = 130-60
y = 70
Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180
y+w+w = 180
70+2w = 180
2w = 180-70
2w = 110
w = 110/2
w = 55
This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.
The sum of the digits of a two digit number is 10 when the dishes are reversed the number increases by 18 find the original number
Answer:
Step-by-step explanation:
Hello, we can write this number ab where a and b are integer betwen 0 and 9.
For instance, 54, a = 5, b = 4
And then, we can say ab = 10 * a + b.
For instance, 54 = 50 + 4 = 5*10 + 4.
The sum of the digits of a two digit number is 10.
a + b = 10
When the dishes are reversed the number increases by 18.
10b + a = 18 + 10a + b
9b = 18 + 9a
b = 2 + a
We replace in the first equation to get.
a + 2 + a = 10
2a = 10 -2 = 8
a = 4
and then, b = 6
So, the number is 46.
Thank you
Solve each system of equations 4x+6y=3 and -10x-15y=-4
Answer:
There is no solution
Step-by-step explanation:
they all subtract eachother out
1/5√75 -10√1/2+√125-2√1/2
Answer:6.91239069507
Step-by-step explanation:
Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.
Answer:
a) 4*x + 50 ≤ 100
b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )
Step-by-step explanation:
The constraint is:
4*x + 50 ≤ 100 where "x" is the number of persons
b) Domain for x
x = 0 up to x = 12 x (0 ; 12 )
c) Range for f(x)
f(x) = 4*x + 50
f(0) = 4*0 + 50 f(0) = 50
f(12) = 4*12 + 50 f (12) = 98
f(x) ( 50 ; 98 )
Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.
Answer:
100%
Step-by-step explanation:
The formula to calculate the return on investment is:
ROI=(Net Profit/Total Investment)*100
Net profit=Revenues-expenses=500-(500*0.6)=500-300=200
Total investment=250-(250*0.2)=250-50=200
Now, you can replace the values:
ROI= (200/200)*100
ROI= 100%
According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.
The Tama, Japan, monorail carries 92,700 riders
each day. If the monorail usually carries
5,150 riders per hour, how many hours does
the monorail run each day?
Answer:
The number of hours monorail run each day is 18.
Step-by-step explanation:
The total number of riders the monorail carry each day is:
N = 92700.
The number of riders the monorail carry per hour is:
n = 5150.
Compute the number of hours the monorail run each day as follows:
[tex]\text{Number of hours the monorail run each day}=\frac{N}{n}[/tex]
[tex]=\frac{92700}{5150}\\\\=18[/tex]
Thus, the number of hours monorail run each day is 18.
Please give me the correct answer
Answer:
Height = 15Step-by-step explanation:
[tex]Volume = 392.5\\r = 5\\h =?\\\\V= \frac{1}{3} \pi r^2 h\\\\392.5 = \frac{1}{3} \times 3.14 \times 5^2 \times h\\\\392.5 = \frac{78.5h}{3} \\\\392.5 = 26.16h\\\\\frac{392.5}{26.16} =\frac{26.16h}{26.16} \\\\h = 15.00[/tex]
Answer:
h=15 in
Step-by-step explanation:
V=πr²(h/3)
h=3v/πr²
h=[3(392.5)]/[3.14(5)²]
h= 15 in
Find the constant of proportionality (r) in the equation y = r x
Answer:
r = 11Step-by-step explanation:
y = r x
r is the constant of proportionality
To find r pick any values of x and y provided and substitute it into the above formula and solve for r.
That's
using
x = 2
y = 22
We have
22 = 2r
Divide both sides by 2
r = 11Therefore the constant of proportionality is 11
Hope this helps you
Three whole numbers have an HCF of 3 and an LCM of 180. Two of the numbers are 45 and 60. Find the third number.
Answer:
Step-by-step explanation:
45=3×3×5
60=2×2×3×5
L.C.M=180
2| 180
2|90
3|45
3|15
3|5
180=2×2×3×3×5
third number=2×3=6
or 2×2×3=12
or2×3×3=18
or 2×2×3×3=36
so third number can be one of 6,12,18,36
The function f(x) = -(x - 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a
function of the length of the rectangle, x. What is the maximum area of the rectangle?
3 square units
6 square units
9 square units
12 square units
Answer:
9 square units
Step-by-step explanation:
The function f(x) describes a parabola opening downward, with a vertex at (3, 9). The maximum value of f(x) is found at the vertex, where it is f(3) = 9.
The maximum area is 9 square units.
Answer:
9 c
Step-by-step explanation:
(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
HELP NOW - Please help me
100 POINTS
Answer:
SAS
43ft
Step-by-step explanation:
We know that two sides are equal
PQ = ST and QR = TU and the angle between them is equal Q = T
We can use the SAS (side angle side)
Since the triangles are congruent
PR = SU
6y+5 = 8y
Subtract 6y from each side
6y+5-6y = 8y-6y
5 = 2y
Divide by 2
5/2 = y
2.5 = y
PR = ST = 8y = 8(2.5) =20
The perimeter is 9+14+20 = 43
Answer:
B. =35ft
Step-by-step explanation:
The perimeter of a right angled triangle is a+b+c
which is 9+4+6y+5 =90
collect like terms
9+4+5+6y=90
18 + 6y = 90
6y = 90 - 18
6y= 72
divide both sides by 6
6y/6 = 72/6
y = 12
so therefore, the perimeter of ∆PQR is
9 + 12 + 14
= 35ft
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
Option (4)
Step-by-step explanation:
By the theorem of inscribed angles and the intercepted arc,
"In a circle, angles subtended by the same arc always measure the same and the arc measures the double of the inscribed angle."
If an inscribed angle in a circle measures 75° then all inscribed angles by the same arc will measure 75°.
In addition to this, measure of arc subtended by these inscribed angle will measure double of the inscribed angle (150°)
Therefore, Option (4) will be the answer.
46°
Х
>
X =
degrees
Hshshshsus
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
⇛ x = 90° + 46°
⇛ x = 136°
the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?
Answer:
Minimum People required = 5
Step-by-step explanation:
Total hours required to complete the work every week = 150 hrs.
Number of hours worked per week by one person = 32 hr
∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person
∴ Number of people = 150 ÷ 32
∴ Number of people = 4.6875
This is the minimum number of people. But no of people cannot be a fraction.
Thus, rounding the number to next integer.
∴ Smallest number of people needed to complete the work = 5