32 ⋅ 36
38
6.194 x 102
At a large museum, there are 70 people in each tour group.
Fill out the values of the table below
Number of Tour Groups | Number of People
2 | ?
4 | ?
7 | ?
140
280
490
True or False: a translation to a figure changes the size of the figure
False
Find the length of the hypotenuse of a right triangle when:
Leg 1 = 7in
Leg 2 = 24in
Hypotenuse = 25in
(3vx2)2
9v2x4
Which is bigger?
a) 4.25 x 102
b) 1.23 x 103
b) 1.23 x 103
Find the slope of the line that contains the points (4,-6) and (-3, -2).
m = - 4 / 7
Triangle ABC was translated 4 units up from its starting location at
A: (-2,5)
B: (0,4)
C: (5,9)
resulting in A’B’C’. Determine the coordinate pairs for points A’, B’, and C’.
A': (-2,9)
B': (0,8)
C': (5,13)
Find the length of the second leg of a right triangle when:
Leg 1 = 5in
Hypotenuse = 13in
Leg 2 = 12in
((2x3)2)2
16x12
Write 1.19 x 10-4 in standard notation.
0.000119
Write the equation of a line that contains the points (-4,-2) and (7, -3).
y = (-1/11)x - (26/11)
Triangle ABC was translated 4 units left and 1 unit up from its starting location at
A:(-2,5)
B:(0,4)
C:(5,9)
resulting in A’B’C’. Determine the coordinate pairs for points A’, B’, and C’.
A': (-6,6)
B': (-4,5)
C': (1,10)
Find the length of the second leg of a right triangle when:
Leg 1 = 8in
Hypotenuse = 17in
Leg 2 = 15in
3x2y-1 / 6x4y3
1 / 2x6y4
A certain solution has a hydrogen ion concentration of 7.25 x 10−6 moles per liter. Write this number in standard notation. Include units.
0.00000725 moles per liter
Line 1: (-2,3) and (3,1)
Line 2: (4,5) and (2,3)
Line 1: m = -2/5
Line 2: m = 1/2
Line 2 has a steeper slope because the absolute value of Line 2's slope is larger than Line 1's.
Triangle ABC was reflected over the x-axis from its starting location at
A:(2,5)
B:(0,4)
C:(5,9)
resulting in A’B’C’. Determine the coordinate pairs for points A’, B’, and C’.
A': (2,-5)
B': (0,-4)
C': (5,-9)
The length of a shadow of a building is 9m. The distance from the top of the building to the tip of the shadow is 15 m. Find the height of the building. If necessary, round your answer to the nearest tenth.
12m
(2v)2(3c2)2 / 2v4c4(4x2r4d-1)0b-1
18b / v2
Which number is bigger?
a) 1.197 x 10-23
b) 1.297 x 10-24
a) 1.197 x 10-23
Lisa is tracking a plant's height for her science class. When she begins tracking, the plant is 10 centimeters tall. The plant then grows 2 centimeters per week. Let x be the time (in weeks) since Lisa started tracking the plant's height, and let y be its height (in centimeters).
a) What is the equation of the line that represents the height of the plant after x weeks?
b) After how many weeks will the plant be 200 centimeters tall?
a) y = 2x + 10
b) 95 weeks
Triangle ABC was translated 1 unit right, then reflected over the x axis, then reflected over the y axis from its starting location at
A:(-2,5)
B:(0,4)
C:(5,9)
resulting in A’B’C’. Determine the coordinate pairs for points A’, B’, and C’.
A':(1,-5)
B':(-1,-4)
C':(-6,-9)
A 5ft ladder leans against the side of a house. The bottom of the ladder is 4 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.
5ft