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Answer:
y = (4/5)x - 3
Step-by-step explanation:
slope intercept form: y = mx + b
Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:
4x - 5y = 15
4x (-4x) - 5y = 15 (-4x)
-5y = -4x + 15
Next, divide -5 from both sides:
(-5y)/-5 = (-4x + 15)/-5
y = (-4x + 15)/-5
Simplify Divide -5 from all terms within the parenthesis:
y = (4/5)x - 3
y = (4/5)x - 3 is your answer.
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To solve this problem, you must follow the proccedure below:
1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s</span>³
<span>
s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³
V1=(9 inches)³
V1=729 inches³
<span>
3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:
V2=LxWxH
L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).
4. Therefore, you have:
V2=(3 inches)(3 inches)(9 inches)
V2=81 inches
</span><span>
5. The amount of wood that was left after the hole was cut out, is:
</span>
Vt=V1-V2
Vt=648 inches³