Answer:
x = 9; y = 12; u = 24; v = 32
Step-by-step explanation:
The corresponding sides of similar triangles are in the same ratio to each other.
3/5 = (3 + x)/20 Multiply each side by 20
20×3/5 = 3 + x
12 = 3 + x Subtract 3 from each side
x = 9
=====
4/5 = (4 + y)/20 Multiply each side by 20
20×4/5 = 4 + y
16 = 4 + y Subtract 4 from each side
y = 12
=====
3/5 = (3 + x + u)/60 Multiply each side by 60
60×3/5 = 3 + x + u
36 = 3 + x + u Insert the value of x
36 = 3 + 9 + u
36 = 12 + u Subtract 12 from each side
u = 24
=====
4/5 = (4 + y + v)/60 Multiply each side by 60
60×4/5 = 4 + y + v
48 = 4 + y + v Insert the value of y
48 = 4 + 12 + v
48 = 16 + v Subtract 16 from each side
v = 32
x = 9; y = 12; u = 24; v = 32
Answer:
5/12
Step-by-step explanation:
slope is 
so
and that is 5/12
Please mark brainliest!!! Thanks.
Answer:
D
Step-by-step explanation:
If C represents the number of children you aren't gonna want to multiple like how it shows in option b and you aren't gonna wanna subtract.
Answer:
-11x+12
Step-by-step explanation:
(x^2-4x+3)-(x^2+7x-9)
x^2-x^2-4x-7x+3-(-9)
-11x+3+9
-11x+12
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.