Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
Answer:
12×<u>3</u>
4
= 9
there 9 children had ana apple
Using translation concepts, the correct statements are given as follows:
- Ava's graph is vertical translation of x².
- Ava's graph has a y-intercept of 4.
- Victor's graph moves 4 units from f(x) = x² in a positive direction.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Ava's graph is given by:
h(x) = x² + 4.
It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.
Victor's graph is given by:
g(x) = (x + 4)²
Which means that it moves 4 units from f(x) = x² in a positive direction.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.
Answer:
b. √(1/6)
Step-by-step explanation:
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