Answer:
y = √55
Step-by-step explanation:
All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:
5/y = y/(5+6)
y^2 = 55
y = √55
_____
<em>Comment on the geometry</em>
There are three "geometric mean" relationships that apply to this geometry.
- the altitude BD is the geometric mean of BC and BA (√30)
- the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
- the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)
If you were aware of the last of these relationships, you could write down the answer without any "work."
y = √(5(5 +6)) = √55
__
The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.
Y= -5/3x + 2
To find slope:
-8-7 / 6 - (-3) = -5/3
Plug in x and y from one of the points to the equation to find b
7 = -5/3 (-3) + b
B = 2
Put it all together:
y = -5/3x + 2
answer: d
explantion :
Factor the numerator and denominator and cancel the common factors.
Answer:
U = -5
Step-by-step explanation:
-8u = -7u + 5
-u = 5
u = -5
