Answer:
see explanation
Step-by-step explanation:
Given
(x + 2)(x - 7) = 0 ← in standard form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
Thus the zeros are x = - 2 and x = 7
135 degrees
In a regular polygon, each interior angle has the same angle. So the eight angles in the octagon will have the same measure.
The formula for this type of problem is
(n-2)180/n
n represents the number of sides
(8-2)180/8
(6)180/8
1080/8
135
So each of the eight angles in an octagon would equal to 135 degrees
x2+y2−2x−80=0
Write the problem as a mathematical expression.x2+y2−2x−80=0
Add 80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute (x−1)2−1 for x−2x in the equation x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding 1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81
This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius: 9
Answer:
We conclude that the value of 'a' will be:
![a=\frac{x+b^2}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bx%2Bb%5E2%7D%7B2%7D)
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
![x=2a-b^2](https://tex.z-dn.net/?f=x%3D2a-b%5E2)
switching sides
![2a-b^2=x](https://tex.z-dn.net/?f=2a-b%5E2%3Dx)
Add b² to both sides
![2a-b^2+b^2=x+b^2](https://tex.z-dn.net/?f=2a-b%5E2%2Bb%5E2%3Dx%2Bb%5E2)
Simplify
![2a=x+b^2](https://tex.z-dn.net/?f=2a%3Dx%2Bb%5E2)
Divide both sides by 2
![\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7B2%7D%3D%5Cfrac%7Bx%7D%7B2%7D%2B%5Cfrac%7Bb%5E2%7D%7B2%7D)
Simplify
![a=\frac{x+b^2}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bx%2Bb%5E2%7D%7B2%7D)
Therefore, we conclude that the value of 'a' will be:
![a=\frac{x+b^2}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bx%2Bb%5E2%7D%7B2%7D)
Hence, option (2) is true.