Answer:
see below
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 d
r = 1/2(4) = 2 inches
The circumference is given by
C = 2 * pi * r
C = 2 * pi * 2
C = 4 pi inches
Using 3.14 as an approximation for pi
C = 12.56 inches
Answer:
26
Step-by-step explanation:
2. Given two consecutive positive EVEN integers, the square of the largest minus 10 times the smaller is 76. What is the sum of the two integers?
I'll call the two integers a and b. a=b+2
a² - 10b = 76
(b+2)² - 10b =76
(b+2)(b+2) -10b = 76
b² +2b + 2b +4 -10b = 76
b² +4b + 4 -10b = 76
b² -6b + 4 =76 subtract 76 from both sides to get the right side equal to zero
b² -6b +4 -76 = 0
b² -6b - 72 = 0 what factors of -72 add up to -6? The two that work are -12, 6
(b-12)(b+6) = 0 so b-12 = 0 or b+6 = 0
<u>+12 +12</u> -<u>6 -6</u>
b = 12 or b = -6 but b must be positive so b=12, a=14
a+b= 14+12 = 26
4x^2 - x - 7
x^2 + x + 2|4x^4 + 3x^3 + 0x^2 + 2x + 1
- (4x^4 + 4x^3 + 8x^2)
-x^3 - 8x^2 + 2x
- (-x^3 - x^2 - 2x)
-7x^2 + 0x + 1
- (-7x^2 - 7x - 14)
7x + 15
It is equal to 4x^2 - x - 7 + ((7x + 15)/(x^2 + x + 2)).
Answer:
20
Step-by-step explanation:
there are 120 minutes it to hours so I just divided 120 by how long it takes each of them then I added the numbers together
Answer:
it would be c
Step-by-step explanation: