X^2 + 12x = -6
x^2 + 12 x + 6^2 = -6 + 6^2
(x + 6)^2 = - 6 + 36
(x +6)^2 = 30
In the first step I had to add 6^2 = 36. The answer is option B. 36.
Answer:
y=-1.5x-2
Step-by-step explanation:
18y=12x-72
3y=2x-12
y=2/3x-4
Slope=-1.5
7=-6(-1.5)+b
7=9-2
Answer:
range is the difference between big and small numbers
Colfax:
Add the ratio numbers together:
5 + 4 = 9
Divide total students by that:
270 / 9 = 30
Multiply each ratio by 30:
Boys = 30 *5 = 150
Girls = 30 * 4 = 120
Do the same for Winthrop:
4 +5 = 9
180 /9 = 20
Boys = 20 * 4 = 80
Girls = 20 * 5 = 100
Total students = 270 + 180 = 450
Total Girls = 120 + 100 = 220
Fraction that are girls = 220 / 450 which reduces to 22/45
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show you how to solve it.
Solution:
A circle is the locus of a point such that its distance from a fixed point which is its center is always constant.
The tire has the shape of a circle. Therefore the distance the tire covers if it is pushed around once is the same as the circumference of the tire. The circumference is given by:
Circumference = 2πr; where r is the radius of the tire
Let us assume that the tire has a radius of 7 cm. Hence:
Circumference = 2π(7) = 44 cm
If the tire moves around 5 times, the distance covered = 5 * circumference of tire = 5 * 44 cm = 220 cm
