The circumference follows the formula
C= 2 (pi)R
R is the radius which is half the diameter when we put this into the equation we get
C = 2 (pi)(4.5)
C=28.274334
Step-by-step explanation:
Arithmetic mean
Answer:
B. 152 + 7
Step-by-step explanation:
(8x + 16) + (7x - 9)
8x + 16 + 7x - 9
15x + 16 - 9
15x + 7
None of these options have this answer, so we see A and B:
A. x + 7
B. 152 + 7
It can't be A because we have 15x and A is x + 7
By process of elimination we have B. 152 + 7
x = 10 and 2/15
Answer:
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 + = –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction
-7/2 = -2(x - ½)²
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
7/2 = -2(x - ½)²
Answer: (B) -2, (E) 1, (F) 2
<u>Step-by-step explanation:</u>
x³ - x² - 4x + 4
= x²(x - 1) - 4(x - 1)
= (x² - 4) (x - 1)
= (x - 2)(x + 2)(x - 1)
Set each factor equal to zero to find the roots:
x - 2 = 0 x + 2 = 0 x - 1 = 0
x = 2 x = -2 x = 1
