<h3>
Answer: -29</h3>
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Work Shown:
f(x) = 6x + b
f(5) = 6(5) + b .... replace every x with 5
f(5) = 30 + b
1 = 30 + b ..... replace f(5) with 1, since f(5) = 1 was given.
1-30 = 30 + b - 30 .... subtract 30 from both sides
-29 = b
b = -29
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The function f(x) = 6x+b turns into f(x) = 6x+(-29) which is equivalent to f(x) = 6x-29
Plugging in x = 5 leads to
f(x) = 6x-29
f(5) = 6(5) - 29
f(5) = 30 - 29
f(5) = 1
So we have confirmed the answer.
The height of the rectangular prism is 5 cm
The rectangular prism has a base area of 16 cm².
<h3>Volume of rectangular prism;</h3>
Therefore,
V = 16h
where
h = height of the rectangular prism
Another box has a volume of 320 cm³ and holds 4 of the rectangular prism with no extra space.
Therefore,
4(16h) = 320
64h = 320
divide both sides by 64
64h / 64 = 320 / 64
h = 5
Therefore, the height of the rectangular prism is 5 cm
learn more on rectangular prism here: brainly.com/question/26187572
Answer:
B.62 is what I got for the answer
Answer:
Mid-point: 
Equation: 
Step-by-step explanation:
To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.
To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.
Slope of AB: 
= 
= 
= 
Multiplying slopes that are perpendicular with each other always results in -1.
By the point slope form:
Plug in the coordinates of the mid-point:
Equation:
