Answer:
x = 2
y = -3
Step-by-step explanation:
2x + 2y = -2, then 2y = -2 - 2x
3x - 2y = 12, then 2y = 3x - 12
so:
-2 - 2x = 3x - 12
add 2x and 12 to each side of the equation:
5x = 10
divide both sides by 5:
x = 2
2y = 3(2) - 12
2y = -6
divide both sides by 2:
y = -3
Answer: $817.35
Step-by-step explanation:
150x4 = 600
600+217.35 = 817.35
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.
<h3>What is the Slope of the Sides of Similar Triangles?</h3>
On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.
Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.
Thus, slope of AC = slope of CE.
Learn more about slope on:
brainly.com/question/3493733
Answer:-2/3 gallon per minute
-2/3 gallon per minute
Step-by-step explanation:
