Answer:
The value of c is 12.25
Step-by-step explanation:
we know that
A perfect square trinomial is of the form
![(x-a)^{2}=x^{2}-2ax+a^{2}](https://tex.z-dn.net/?f=%28x-a%29%5E%7B2%7D%3Dx%5E%7B2%7D-2ax%2Ba%5E%7B2%7D)
In this problem we have
![x^{2}-7x+c](https://tex.z-dn.net/?f=x%5E%7B2%7D-7x%2Bc)
so
equate the equations
![x^{2}-7x+c=x^{2}-2ax+a^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D-7x%2Bc%3Dx%5E%7B2%7D-2ax%2Ba%5E%7B2%7D)
we have
the following equations
-----> equation A
and
-----> equation B
<u>Solve the equation A</u>
![-7x=-2ax](https://tex.z-dn.net/?f=-7x%3D-2ax)
![7=2a](https://tex.z-dn.net/?f=7%3D2a)
![a=3.5](https://tex.z-dn.net/?f=a%3D3.5)
<u>Solve the equation B</u>
![c=a^{2}](https://tex.z-dn.net/?f=c%3Da%5E%7B2%7D)
![c=3.5^{2}=12.25](https://tex.z-dn.net/?f=c%3D3.5%5E%7B2%7D%3D12.25)
therefore
![(x-3.5)^{2}=x^{2}-7x+12.25](https://tex.z-dn.net/?f=%28x-3.5%29%5E%7B2%7D%3Dx%5E%7B2%7D-7x%2B12.25)
The value of c is 12.25
Answer:
An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing
So 20=2 itmes m2 times 5
5m=5 times m
so
5m=20
5 times m=2 times 2 times 5
divid eboth sides y 5
m=2 times 2
m=4
Answer:
B.Line graph
Step-by-step explanation:
it is the best way to display the data of how many students perfer which sport
Answer:
x = 11
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FEB and ∠ DEB are adjacent angles and supplementary, thus
∠ FEB = 180 - 4x , so
180 - 4x + x = 147, that is
180 - 3x = 147 ( subtract 180 from both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11