Teresa is simplifying an Step 1: (4x² Step 2: Step 3: 2x

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

neonofarm [45]

Answer:

Distance is 6.7units to the nearest tenth.

Explanation:

To solve this problem, we the distance formula. And this is given as:

$D = \frac{|a x + b y + c|}{\sqrt{a^2 + b^2}}$

We were given the equation:

y = 2 x + 4

This can also be rewritten as:

y – 2 x – 4 = 0.

Therefore, a = -2, b = 1 and c = -4

Also, we were given the points:

(x, y) = (–4, 11)

Making use of the above formula for distance, we have:

$D = \frac{|-2\times -4 + 1\times 11 + -4|}{\sqrt{-2^2 + -4^2}}$

$D = \frac{15}{\sqrt{5}}$

D = 6.7units (to the nearest tenth)

8 0

2 years ago

What happens to the distance between each billiard ball during this rigid 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 rigid motion, 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.

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

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: 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;

Glide Reflection: 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

Type a digit that makes this statement true. HELPPPP MEEEEE PLZZZZZ!!!

Usimov [2.4K]

Answer:

2

Step-by-step explanation:

Ok so basically you want a number that is evenly divisible by 4. Or in other words 4 x ? = 691,61#

The easiest thing to do is start with a zero there and divide it by 4 to see what you get.

691,610 / 4 = 172,902.5

Since this is not evenly divisible by 4 let's round it up to the next whole number and multiply by 4

4 x 172,903 = 691,612

So the digit you can put on the end of the number is 2

6 0

2 years ago

Read 2 more answers

What is the slope of the line passing through the points (-3, -5) and (-1, - 6)?

Ira Lisetskai [31]

Answer:

-1/2

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

= ( -6 - -5)/( -1 - -3)

= ( -6+5)/( -1+3)

=-1/ 2

3 0

2 years ago

Read 2 more answers

What is the method of comparing Coefficient

Svetllana [295]

Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.

.

5 0

2 years ago