Answer:
Step-by-step explanation:
<u>Use the Pythagorean Theorem</u>
The equation for the Pythagorean Theorem is 
* a and b are the lengths of the legs, and c is the hypotenuse.*
(To know which side is the hypotenuse look at longest side which is across the right angle).
a= x, b=8, c=9
Let's Plug in the side lengths:
Evaluate 8^2 and 9^2:
Subtract 64 from both sides:
Take the square root of both sides:
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Answer:
Step-by-step explanation:
It is two types of function.
- Exponential Growth: If function increase as value of x increase.
In this case, a>0 and b>1
- Exponential decay: If function decrease as value of x increase.
In this case, a>0 and 0<b<1
We need to choose exponential growth function.
Here a=0.75>0 and b=5>1
Therefore, This function is exponential growth.
Answer:
AD=AC (as D is midpoint to from line AC the line AD=AC
Step-by-step explanation:
HENCE PROVED
well, the triangle is an isosceles, so it twin sides, and the twin sides make twin angles, as we see by the tickmarks on A and C, meaning AB = BC.
![\bf x+4=3x-8\implies 4=2x-8\implies 12=2x\implies \cfrac{12}{2}=x\implies 6=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ AC\implies x+4\implies 6+4\implies 10](https://tex.z-dn.net/?f=%5Cbf%20x%2B4%3D3x-8%5Cimplies%204%3D2x-8%5Cimplies%2012%3D2x%5Cimplies%20%5Ccfrac%7B12%7D%7B2%7D%3Dx%5Cimplies%206%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20AC%5Cimplies%20x%2B4%5Cimplies%206%2B4%5Cimplies%2010)
Answer:
y = x+1
Step-by-step explanation
The equation in slope intercept form is expressed as y = MX+c
m a the slope
Get the slope of the line
Given the line x-y =9
-y = -x+9
y = x-9
Slope of the line is 1
Since it is parallel to the given line, the slope o the required line is also 1
Substitute m = 1 adnd (4,5) into the point slope form
y-y0 =m(x-x0)
y - 5 = 1(x-4)
y-5 = x-4
y= x-4+5
y = x+1
Hence the required equation is y = x+1
