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1 year ago

Find the midpoint of the segment with the given endpoints. (-4,-5) and (10,- 9)

Mathematics

1 answer:

Elanso [62]1 year ago

6 0

Answer:

(3, -7)

Step-by-step explanation:

$\left(\frac{-4+10}{2}, \frac{-5-9}{2} \right)=(3, -7)$

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Write the next three terms of the arithmetic sequence.

zvonat [6]

Answer:

12,6,0

Step-by-step explanation:

18-6=12, so on so forth.

7 0

2 years ago

Pls answer 2 people or more

fredd [130]

I believe it’s B . Not 100 percent sure but yeah

6 0

2 years ago

What is the y value when x equals 21? y=310-25(x)

Sati [7]

Answer:

Step-by-step explanation:

You subtract 310 from 25 and get 285 then you multiply 285 x 21 and I believe that should solve this equation.

8 0

3 years ago

Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th

Evgen [1.6K]

Answer:

Part 1) The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) The prism would fill only one-third

Part 3) The cylinder and the cone

Step-by-step explanation:

Part 1) How do their volumes compare?

we know that

The volume of a rectangular prism is equal to

$Vprism=BH$

where

B is the area of the base of rectangular prism

H is the height of the prism

The volume of a rectangular pyramid is equal to

$Vpyramid=\frac{1}{3}BH$

where

B is the area of the base of rectangular pyramid

H is the height of the pyramid

Compare the volumes

$Vprism=BH$ -----> equation A

$Vpyramid=\frac{1}{3}BH$ -----> equation B

substitute equation A in equation B

$Vpyramid=\frac{1}{3}Vprism$

$Vprism=(3)Vpyramid$

The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) If the pyramid was full of water, how much of the prism would it fill up?

Remember that

$Vpyramid=\frac{1}{3}Vprism$

therefore

The prism would fill only one-third

Part 3) Name another pair of three-dimensional objects that have a relationship similar to this

we have the cylinder and the cone

The volume of the cylinder is equal to

$Vcylinder=\pi r^{2}h$

The volume of the cone is equal to

$Vcone=\frac{1}{3}\pi r^{2}h$

Compare the volumes

$Vcylinder=(3)Vcone$

The volume of the cylinder is 3 times greater than the volume of the cone

3 0

3 years ago

Which statements are true about the linear inequality y > 3/4x – 2? Check all that apply. The slope of the line is –2. The gr

pishuonlain [190]

You can draw the area bounded by the unequality $y\ \textgreater \ \frac{3}{4} x-2$ in following way:

1. Draw a dashed line $y=\frac{3}{4} x-2$ with a slope $\frac{3}{4}$ (a dashed, because all points from this line, for example when x=0, y=-2 do not belong to the area);

2. Define which part (under the line or over the line) is suitable by substituting values. For example, when x=0 and y=0 you obtain that $0\ \textgreater \ \frac{3}{4} \cdot 0-2$ is a right unequality, that means that the point (0,0) is a solution and belongs to the area;

3. Shade that part of the plane to which point (0,0) belongs, you receive the area over the line (see image).

From the done steps you can see that only fourth statement is true.

4 0

3 years ago