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hammer [34]
3 years ago
9

Find the x-intercept of a line whose equation is 8x+2y=4.

Mathematics
1 answer:
puteri [66]3 years ago
8 0

To find the x intercept of this line, we simply need to set y equal to 0 and solve for x.

8x = 4

Divide both sides by 8.

x = 1/2

<h3><u>The x-intercept of this line is equal to 0.5, or 1/2.</u></h3>
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PLS HELP IF YOU ANSWER I WILL GIVE YOU BRAINLIEST ANSWER
Elodia [21]

Answer:

4.5

Step-by-step explanation:

7 0
2 years ago
What happens to the distance between each billiard ball during this rigid<br><br> transformation?
Delicious77 [7]

The question is incomplete. Here is the complete question.

To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a <u>rigid</u> <u>motion</u>, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

<u>Translation</u>: every point or object is moved by the same amount and in the same direction;

<u>Rotation</u>: the object rotates by the same amount around a fixed point;

<u>Reflexion</u>: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

<u>Glide</u> <u>Reflection</u>: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.

6 0
2 years ago
Find the volume of each cylinder. Use 3.14 for pi. Round your answer to the nearest tenth
otez555 [7]

Answer:

V ≈471.24 mm^3

Step-by-step explanation:

The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3

8 0
3 years ago
Tony runs 3 miles in 25 minutes. at the same rate, how many miles would he run in 20 minutes?
liberstina [14]

Answer:

2.4

Step-by-step explanation:

3 / 28 = 0.12

(we do this to see how many miles he ran in a minute)

0.12 x 20 = 2.4

(then we multiply how many miles he can run in 20 minutes)

3 0
2 years ago
Two similar triangular prisms have volumes of 27 square meters and 64 square meters.
Inessa [10]

Answer:

9/16

Step-by-step explanation:

First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:

volume ratio = dimension ratio ^3

surface area ratio = dimension ratio ^2

The volume ratio between small prism and the large prism is 27 / 64.

To find the dimensions ratio, we need to take the cubic root of the volume scale:

dimension ratio = 3√(27/64) = 3/4

Now, to find the surface area ratio, we just need to make the square of the dimension ratio:

surface area ratio = (3/4)^2 = 9/16

8 0
2 years ago
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