Great question! I had this question in Geometry on Edmentum.
Answer: Height of cone = 3y
Step-by-step explanation:
We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.
So, the height of the cone is equal to 3y.
Hope this helps, and have a wonderful day! :D
Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.
A quadratic has the form ax^2+bx+c
To factor a quadratic you want to find two values, j and k, which satisfy two conditions...
j*k=a*c and j+k=b
In this case ac=-140 and b=4.
The only values possible are j=14 and k=-10
so jk=-140 and j+k=4 which are the conditions we needed to satisfy...
Now you remove the linear, or "b term", from the original equation and replace it with jx and kx... and in this case you will have:
-2h^2-14h+10h+70 now you can factor out the greatest common factor from the first pair of terms and the second pair of terms...
-2h(h+7)+10(h+7) which is equal to
(-2h+10)(h+7) and you can factor the first term again if you wish...
-2(h-5)(h+7)
Answer: C y= -3/2x + 11
Step-by-step explanation:
So you have to know the parallel lines have the same slopes but different y- intercepts. so we will use the same slopes but we will calculate the y -intercept.
in the points (4,5) 5 is the y value and 4 is the x value. and we will plot it into the formula y=mx + b where m is the slope and we already know the slope is -3/2 but we need to find the y intercept.
5 = -3/2(4) + b
5= -6 + b
+6 +6
b= 11 so now we know the y intercept is 11 so the equation will be y= -3/2x + 11
Answer:
from left to right, including the triangle placed in the rectangle section already; quadrilateral, polygon, quadrilateral, polygon, quadrilateral, rectangle
