Answer:
- The cabinets have the same base area.
- The cabinets may have the same base dimensions.
- The cabinets may have different base dimensions.
Step-by-step explanation:
The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.
Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.
Answer:
-6 = x
Step-by-step explanation:
2x-8=4(x+1)
Distribute
2x -8 = 4x+4
Subtract 2x
2x-8-2x = 4x-2x+4
-8 = 2x+4
Subtract 4
-8-4 = 2x+4-4
-12 = 2x
Divide by 2
-12/2 = 2x/2
-6 = x
Answer: D
Step-by-step explanation: 20,20
1) The two lines are <em>perpendicular</em>. (Correct choice: True)
2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
<h3>How to analyze and interpret linear functions</h3>
Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:
Exercise 1
If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:
m · m' = - 1
[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]
(- 1 / 1) · (1 / 1)
- 1
The two lines are <em>perpendicular</em>. (Correct choice: True)
Exercise 2
In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:
m = ($ 10 - $ 0) / (1 h - 0 h)
m = $ 10 per hour
The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
To learn more on linear functions: brainly.com/question/21107621
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