Answer:
The center is (-8/3,0) and the radius is 1
Step-by-step explanation:
(x+8/3)^2 + y^2 = 1
We know the equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
(x- -8/3)^2 + (y-0)^2 = 1^2
The center is (-8/3,0) and the radius is 1
Answer:
-3
Step-by-step explanation:
Slope is y2 - y1 / x1 - x2.
So, let's take two random points; I have chosen (0, 3) and (2, -3).
Excellent. Let's calculate the slope.
Slope = (-3 - 3) / (2 - 0) = -6 / 2 = -3.
Hope this helps!
Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
√(x + 8) − √(x − 4) = 2
Solving:
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
Answer:
x = 10 m∠3 = 74
Step-by-step explanation:
(10x + 6) + (7x + 4) = 180 degrees
17x + 10 = 180
17x = 170
x = 10
check answer
(10(10) + 6) + (7(10) + 4) = 180
106 + 74 = 180
180 = 180
true!
angle 5 is vertical angles with 3, so they are congruent
use same equation as 5
7(10) + 4
70 + 4
74 :)
Its d
reason is that area of a traingle is base times hight divided by 2 so H times Z divided by two =(22x7)/2==77
then you add the area of the rectangle on the bottom (W times Z )= 88
77+88=165
Hope this makes sense and I get brainiest!!