Answer:
y=-5/3x+13.
Step-by-step explanation:
As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.
Answer:

Step-by-step explanation:
Given
---- the perimeter of fencing
Required
The maximum area
Let


So, we have:

This gives:

Divide by 2

Make L the subject

The area (A) of the fence is:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0

Solve for 2W

Solve for W

Recall that:




So, the maximum area is:



Answer:
Complementary, x=60.
Step-by-step explanation:
The angles are complementary because they add up to 90 degrees, opposing supplementary angles, which add up to 180 degrees. To find x, we need to form an equation to represent the problem. We know the two angles add up to 90 degrees, so we can use that to make the equation.
(x-30)+x=90 Simplify.
x-30+x=90
2x-30=90 Add 30 to both sides.
<u>+30 +30</u>
2x=120 Divide both sides by 2.
x=60
We can also find the value of the angles by plugging in x.
Angle 1: (x-30)
(60-30)
30 degrees
Angle 2: x
60 degrees
(You can also notice that the two angles add up to 90 degrees, which is another way of telling that the angles are complementary.)
Hope this helps and have an amazing day!! C:
Answer:
The area of a horizontal cross section at a height is 
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data

Put the value into the formula



We need to calculate the area of a horizontal cross section at a height y
Using formula of area

Put the value into the formula

Hence, The area of a horizontal cross section at a height is 
The correct answer is x^2-10x+25