Answer:
B
Step-by-step explanation:
When there is only rotation and reflection, there is no change in size. A change in size occurs when there is dilation.
Answer:
Simplifying
x = -25
Step-by-step explanation:
Reorder the terms:
10x + -6(5 + 2x) = 20
10x + (5 * -6 + 2x * -6) = 20
10x + (-30 + -12x) = 20
Reorder the terms:
-30 + 10x + -12x = 20
Combine like terms: 10x + -12x = -2x
-30 + -2x = 20
Solving
-30 + -2x = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + -2x = 20 + 30
Combine like terms: -30 + 30 = 0
0 + -2x = 20 + 30
-2x = 20 + 30
Combine like terms: 20 + 30 = 50
-2x = 50
Divide each side by '-2'.
x = -25
<span>x-intercept is when y = 0
0 = -1/2x - 2
1/2x = -2
x = -4
x-intercept = (-4,0)
y-intercept is when x = 0
y = -1/2(0) - 2
y = -2
y-intercept = (0, -2)
(note that in the form y = mx+b, b is the y-intercept, so in y = -1/2x - 2, -2 is the y-intercept)
Now to graph, simply plot these two points (-4, 0) and (0, -2) and draw a line between them.
Best of luck!</span>
Answer:
This means the mock-up tank has a volume 216 times smaller than the initial tank.
Step-by-step explanation:
The ratio between volume is given by

This means the mock-up tank has a volume 216 times smaller than the initial tank.
Math answers to fraction 2356 divided by 27 can be calculated as follows.
2356/27 math problems division = 87.2592592593. Therefore 87.2592592593 to 2 decimal places= 87.26
2356/27 divided by 2 » (2356/27) ÷ 2 » 87.2592592593 ÷ 2 = 43.6296296296 .