Transformations and Triangles
What is another name for a reflection?
Flip
Write the equation for the line in slope-intercept form passing through the points (-5, 2) and (-1,0).
y= -1/2x -0.5
OR
y= -0.5x-0.5
Solve the system of equations below.
-4x + 11y = 15
x = 2y
x= 10
y= 5
Find the volume of the cylinder with a radius of 3 and a height of 2. Use 3.14. Round to the nearest hundredth.
V= 56.52
Find the missing value when b= 8 and c=17
a=15
If I were to reflect the point (2, 4) across the x-axis, what would the new point be?
(2, -4)
Write the equation for the relationship showing in the table in slope-intercept form.
x: 0 1 2 3 4
y: 8 18 28 38 48
y= 10x + 8
x - 7y = -11
5x + 2y = -18
x= -4
y= 1
Find the volume of a cylinder with a diameter of 8 and a height of 3. Use 3.14. Round to the nearest hundredth.
V= 150.72
a= 30, c= 50, what is b?
b= 40
Find the value of x in the triangle with the given information.
One angle is 90 degrees, another angle is 48 degrees, the third angle is 5x + 12.
x= 6
The missing degree is 42 degrees
A paintball court charges an initial entrance fee plus a fixed price per ball.
P represents the total price (in dollars) as a function of the number of balls used n.
P=0.80n+5.50
What is the price for 10 balls, not including the entrance fee?
$8
A landscaping company placed two orders. The first order was for 13 bushes and 4 trees and totaled $487. The second order was for 6 bushes and 2 trees and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
Bushes are $23 each
Trees are $47 each
Find the height of a cylinder with a volume of 235.5 and a diameter of 10. Use 3.14.
h= 3
A ladder is leaned up against a wall. The base of the ladder is 15 feet from the wall. The top of the ladder reaches a spot on the wall that is 22 feet off the ground. How long is the ladder? Round to the nearest tenth.
Find the value of x in the triangle with the given information.
One angle is 90 degrees, another angle is 2x degrees, the third angle is 2x +6.
x = 21
The missing degrees are 42 and 48.
Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. After how many weeks do they have the same amount of money? How much money will they have at this point?
After 10 weeks they will have the same amount of money. They will have $155.
The school that Stefan goes to is selling tickets to a band performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Senior citizen ticket is $8
Child ticket is $14
Find the radius of a cylinder with a height of 6 and a volume of 169.56. Use 3.14.
r=3
The longest side of a triangular garden measures 17 yards. One of the sides is 10 yards long. Find the length of the other side of the garden. Round your answer to the nearest tenth.
13.7 yds
Determine the scale factor used to dilate triangle ABC to triangle A'B'C'.
(use the image given)
Scale factor is 2
Natalie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.75 hours and charged her $72 for parts. The total was $223.25. Write and solve an equation which can be used to determine x, the cost of labor per hour.
223.25=72+2.75x
x=$55
A plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class. How many seats are there in each class?
Economy has 260 seats
Business has 100 seats
A cylindrical fish tank has a height of 25 inches and a tank diameter of 22 inches. However, the bottom half is filled with rocks. What is the volume of the fish tank that needs to be filled with water? Round your answer to the nearest hundredth.
V=4749.25 in3
From the given values, determine if the numbers create a right triangle.
14, 19, 18
No
The correct answer would be 22.8