So we are given an initial equation of: 
.
We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially 
, we are going to flip it to make it 
and change the sign to make it 
.
So now we know that the slope of the perpendicular line is , we can start a new equation for this line:
We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:
Then solve for b:
So then we plug in our value for b and leave x and y:
So this equation now represents the new path.
Answer:
51 degrees
Step-by-step explanation:
Complementary angles are two angles whose sum is (90degrees). If one is given an angle measure and needs to find its complementary angle, then all one has to do is subtract the given angle measure from (90degrees).
90 - 39 = 51
We can solve this problem by using the distance formula. The distance formula is: 
We can now put in values and solve.
The volume of the sphere is 1437.33 ft³
<h3>
</h3><h3>What is volume of sphere?</h3>
A sphere's volume V is four-thirds of pi times the radius cubed. A hemisphere's volume is half of the volume of the associated sphere.
The volume of a spherical.
V= 4/3 πr³
radius= 7ft
So,
V= 4/3*22/7*7*7*7
V= 30184/21
V = 1437.33 ft³
Learn more about this concept here:
brainly.com/question/8549007
#SPJ1
