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trapecia [35]
3 years ago
11

(3x²-21x-24)take out the highest common factor​

Mathematics
2 answers:
Oduvanchick [21]3 years ago
7 0
3(x-8)(x+1)
i need characters sjushsjsbs lol
inessss [21]3 years ago
6 0

Answer:

x = 8 or x = -1 is the answer

Step-by-step explanation:

3x² - 21x -24

divide with 3

x² - 7x - 8

Factorizing,

x² + x - 8x - 8

x(x + 1) -8 (x + 1)

(x - 8) (x + 1)

x = 8,-1

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Step-by-step explanation:

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8 0
3 years ago
The dimensions of a basketball court are shown below. Suppose a player throws the ball from a corner to a teammate standing at t
creativ13 [48]

The 94 ft. by 50 ft dimensions of the court obtained from a similar question posted online, gives;

a. The ordered pair representing the location of the player in the bottom right corner is (47, -25)

b. The distance traveled by the ball obtained using Pythagorean theorem, is approximately 53.2 feet.

<h3>How can Pythagorean theorem be used to find the distance the ball travels?</h3>

The possible dimensions of a rectangular court obtained from a similar question posted online are;

Length of the basketball court = 94ft.

Width of the basketball court = 50 ft.

From the question, we have;

Location of the court center = The origin of a coordinate plane

a. The ordered pair that represent the location of a player in the bottom right corner is found as follows;

Let (x, y) represent the coordinates of the bottom right corner of the court, we have;

Horizontal distance from the center of the court (the origin) to the right boundary of the court, <em>x </em>= (94 ft.)/2 = 47 ft.

Vertical distance from the center to bottom of the court, <em>y </em>= (50 ft.)/2 = 25 ft.

Following the convention of points to the right and above the origin being positive, while points below the origin are negative, we have;

The ordered pair (the coordinates of the player) that represents the location of the player in the bottom right corner is therefore;

  • (x, y) = (47, -25)

b. The distance, <em>d</em>, that the ball travels is given by Pythagorean theorem as follows;

d = √((47 - 0)² + ((-25) - 0)²) = √(2834) ≈ 53.2

  • The ball travels approximately 53.2 feet.

Learn more about Pythagorean theorem here:

brainly.com/question/21332040

#SPJ1

4 0
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