Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
The question we need to ask is what percent of 2 is 40?
40 is 20 times 2 so 20 would be 2,000%
We need to subract 100% from any percent change:
2,000% - 100% = 1,900%
ANSWER: 1,900%
Answer:
1.) D
2.) B
3.)
a.) 7x-34
b.) x (division symbol) 45 + 6
4.)
a.) x decreased by 216
b.) the quotient of 15 and x
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
So the slope is:
Thus, the equation of the line is of the form:
We substitute one of the points and find "b":
Finally, the equation is:
Answer:
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
