Answer:
(-1, 5)
Step-by-step explanation:
What you do is you start at the point (-4, 8). You then have to go 3 units right which will be -1. Then you will go 3 units down which is 5.
Your answer is (-1, 5).
Answer:
6
Step-by-step explanation:
We have y ∝ x which is another way of saying y varies directly with x
We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality
So y = kx or x = y/k
using y and x values know, we can solve for k and then solve for any x given y
We have
y = 37.4 = k (17)
Therefore k = (37.4/17) = 2.2
To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6
The chord length is the same as the radius, so R^2 = 9.
Area = (1/2)(9)(pi/3 - sqrt(3)/2) = (3/4) (2 pi - 3 sqrt(3))
Answer:
150 square feet
Step-by-step explanation:
It is half of the yard, because it extends from the corners. To find the area of the triangle of grass, you have to find the product of the legs divided by two.
30*10=300
300/2=150
150 square feet of Mr. West's backyard is covered in grass
First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
