The area of a circle is A = πr^2. We let A1 And A2 the areas of the circles and r1 and r2 the radius of each, respectivley.
A1 + A2 = 80π
Substitute the formula for the area,
π(r1)^2 + π (r2)^2 = 80π
From the statement, we know that r2=2(r1).
<span>π(r1)^2 + π (2 x r1)^2 = 80π
</span>We can cancel π, we will have
5 x (r1)^2 = 80
Thus,
r1 = 4 and r2 = 8
Answer:
Step-by-step explanation:
Simplifying
6x + -3 = (3x + -2)
Reorder the terms:
-3 + 6x = (3x + -2)
Reorder the terms:
-3 + 6x = (-2 + 3x)
Remove parenthesis around (-2 + 3x)
-3 + 6x = -2 + 3x
Solving
-3 + 6x = -2 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = -2 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = -2 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = -2 + 0
-3 + 3x = -2
Add '3' to each side of the equation.
-3 + 3 + 3x = -2 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = -2 + 3
3x = -2 + 3
Combine like terms: -2 + 3 = 1
3x = 1
Divide each side by '3'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Answer:
A linear relationship can also be found in the equation distance = rate x time. Because distance is a positive number (in most cases), this linear relationship would be expressed on the top right quadrant of a graph with an X and Y axis.
Step-by-step explanation:
<u>Substitute x = -118 and y = -114 into the expressions:</u>
<u>1</u><u>:</u>

Correct.
<u>Use integer rule for #2:</u>

Incorrect.
*This answer can be a positive when terms are switched.
<u>3:</u>

When two negatives multiply, the product remains positive.
Incorrect.
<u>4:</u>
<u>
</u>
When two negatives divide, the quotient remains positive.
Incorrect.