Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)
We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)
the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)
Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)
Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
the answer is 153.86 ft squared
= the formula for the area of a circle is A=πr2
= area = pi x radius squared
= the radius is 7 feet, square that to get 49
= multiply 49 by pi to get the area: 153.86 square feet
153.86 ft squared
Answer:
D
Step-by-step explanation:
Let's start by crossing everything out!
12/3 can be crossed out to 4.
a^3/a^2 can be crossed out to a.
b^6/b^4 can be crossed out into b^2.
c^5/c^5 is just 1.
So which the results we got, we can multiply them, so that it is 4ab^2.
4ab^2 is our final answer!
Step-by-step explanation:
x²+4x=8
rearrange
x² + 4x - 8 = 0
half of 4 is 2
so
x² + 4x + 2² - 2² - 8 = 0
do x² + 4x + 2²
multiplies to give 4 adds to give 4
2+ 2
(x + 2)²
(x + 2)² - 2² - 8
(x + 2)² - 4 - 8
(x + 2)² - 12
(x + 2 + √12) (x + 2 - √12)
√12 = √4 * √3 = 2 √3
(x + 2 + 2√3) (x + 2 - 2√3)
It will be smaller than 1/4.
The reason being that 7/8 is a fraction which is less than 1, and that it can only be greater than 1/4 when the multiplying number, is a number which is greater than 1.
Note: When a positive number is multiplied by a number which is less than 1, it makes the positive number to be smaller and
When a positive number is multiplied by a number which is greater than 1, it makes the positive number to be bigger.
