So here is how you solve for the answer.
Firstly, you solve for the Area of Rectangle A.
The formula for Area is Length x width.
So A = (2x + 6)(3x) and the result is: 6x^2 + 18x
Now, let y be the width of rectangle B.
<span>(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)
</span>So the final answer would be width is 6x + 6. The answer is the third option. Hope this answer helps.
Answer:
14 millimeters
Step-by-step explanation:
V=(4/3)πr³
1372π(1/3)=(4/3)πr³
1372=4r³ <em>(cancel out the pi and multiply both sides by 3)</em>
r³=343
r=7
Diameter is twice the radius = 2(7) = 14
Answer:
The fraction of tiles that will be the color of "sand" is 23/60
Step-by-step explanation:
we know that
The sum of the fractions of the tiles must be equal to 1
Let
x ----> the fraction of tiles that will be the color of "sand"
we have that

solve for x
Find the Least Common Multiple of denominators

Multiply both sides by 60

simplify


therefore
The fraction of tiles that will be the color of "sand" is 23/60
Answer:
y-intercept = (0, - 3)
x-intercept = (-6, 0)
slope = - 1/2
Step-by-step explanation:
The y intercept is the value of y when the x = 0. By looking at the graph, we can tell that when x = 0, y = - 3. Likewise for the x-intercept.
We can use the slope formula to determine the slope.
m = y2 - y1/ x2 - x1
You can choose any 2 points on the line and substitute in the formula. I chose the y and x intercepts for easier calculations.
m = - 3 - 0/ 0 - (- 6)
m = - 3/ 6
m = - 1/2