Answer:
length = 9, width = 7
Step-by-step explanation:
length = l, also w+2 width = w
perimeter = 2w + 2l
create an equation: 32 = 2(w) + 2(w+2)
simplify
32 = 2w+2w+4
32 = 4w+4
28=4w
w=7
solve for length
l = w+2
l=7+2
l=9
<em>Answer</em><em> </em><em>is</em><em> </em><em>-220</em>
<em>if</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>doubts</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>image</em><em> </em>
Answer: 8y4+25y3+60y2+10y+7
Step-by-step explanation:
(y2+3y+7)(8y2+y+1)
=(y2+3y+7)(8y2+y+1)
=(y2)(8y2)+(y2)(y)+(y2)(1)+(3y)(8y2)+(3y)(y)+(3y)(1)+(7)(8y2)+(7)(y)+(7)(1)
=8y4+y3+y2+24y3+3y2+3y+56y2+7y+7
=8y4+25y3+60y2+10y+7
hope this helps!:)
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π
Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span> is 64π
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
