Answer:
y = 6x-4
Slope = 6
Since the line is perpendicular slope = -1/6
Equation of the line is
y +3 = -1/6(x-1)
Multiply through by 6
6y +18 = -x + 1
6y = -x -17
Hope this helps.
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
<h3>How to find the volume of a rectangular prism?</h3>
volume of a rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
learn more on volume here: brainly.com/question/2005063
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Range is the value of y
f(x)=-x²+5
when x=-1, f(x)=-(-1)²+5=4
when x=2, f(x)=-(2)²+5=1
so 1<y≤4
the second piece: f(x)=2x-3
when x=2, f(x)=2(2)-3=1
when x=5, f(x)=2(5)-3=7
so 1≤y<7
union of the two parts of y: 1≤y<7
[1,7) is the answer.
Solution
Solve

Step 1: Evaluate and cross multiply

Step 2: Collect like terms
8.3x10^-1, I get 0.8300000000000001 when I use parentheses, the way you have it written, I get NaN