ANSWER
When
is written in the form
, it looks like ![f(x)=(x-5)^2-16](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%5E2-16)
EXPLANATION
To write
in the form
, we have to complete the squares.
We add and subtract half the coefficient of
square.
![f(x)=x^2-10x+(-5)^2-(-5)^2+9](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-10x%2B%28-5%29%5E2-%28-5%29%5E2%2B9)
The first three terms of the function is now a perfect square.
![f(x)=(x-5)^2-25+9](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%5E2-25%2B9)
We now simplify rto obtain,
![\Rightarrow f(x)=(x-5)^2-16](https://tex.z-dn.net/?f=%5CRightarrow%20f%28x%29%3D%28x-5%29%5E2-16)
The measure of m/EFH and m/EFG are 71 and 142 degrees
<h3>Bisection of angles</h3>
If a line bisects an angle, it divides the angle into two equal parts. If the line FH bisects EFG. hence;
<GFH = <HFG
Given the
Given that <GFH = 71 degrees, hence;
<EFG = 2(<GFH)
<EFG = 2(71)
<EFG = 142 degrees
Hence the measure of m/EFH and m/EFG are 71 and 142 degrees respectively
Learn more on bisection of angles here; brainly.com/question/25770607
#SPJ1
![\huge{ \boxed{ \bf{ \red{Problem:-}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Cred%7BProblem%3A-%7D%7D%7D%7D)
<h3>Solve for x: 3/2 + 1/2x =2x</h3>
![\huge{ \boxed{ \bf{ \red{Solution:-}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Cred%7BSolution%3A-%7D%7D%7D%7D)
![\bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%20%7B%5Cfrac%7B1%7D%7B2%7D%20x%20%3D%202x%7D%7D)
![\bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%E2%87%92%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%7B%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%202x%7D%7D%20)
![\bold{⇒\frac{3 + x}{2} = 2x}](https://tex.z-dn.net/?f=%20%20%5Cbold%7B%E2%87%92%5Cfrac%7B3%20%2B%20x%7D%7B2%7D%20%20%3D%202x%7D)
![\bold{⇒3 + x = 2(2x)}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%2B%20x%20%3D%202%282x%29%7D)
![\bold{⇒3 + x = 4x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%2B%20x%20%3D%204x%7D)
![\bold{⇒3 = 4x - x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%3D%204x%20-%20x%7D)
![\bold{⇒ \frac{3}{3} = x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%92%20%5Cfrac%7B3%7D%7B3%7D%20%20%3D%20x%7D)
![\bold{ \therefore{x = 1}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%5Ctherefore%7Bx%20%3D%201%7D%7D)
<h3>Hope it's helpful</h3>
The defined terms in geometry are terms that can be combined either with other defined or undefined terms. When they are combined, another term is generated.
A line segment is a line joining between two points along with all the points between them.
Combining two segments can generate other terms, for example,
combining line segments perpendicularly together will generate a right angle.
That's why line segments are considered defined terms in geometry.
Answer:
4.5 square units
Step-by-step explanation:
A = a + b/2 = 4 + 5/2 times 1 = 4.5