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oksian1 [2.3K]
1 year ago
5

Solve by factoring. Check your answers. x²=-x+6

Mathematics
1 answer:
Ymorist [56]1 year ago
6 0

The factoring of the expression x²=-x+6 is (x-2)(x+3)

By ordering the values, we get:

x² + x - 6 = 0

To solve this exercise, we have to follow the rules of factoring:

1. Looking for the a and b number that state the following equations:

  • a + b = 1
  • a * b = - 6

Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.  

The number could be:

a = -2

b = 3

Confirming:

a + b = -2 + 3 = 1

a * b = (-2) * 3 = - 6

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x-2)(x+3)

<h3>What is factoring?</h3>

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

Learn more about factoring at brainly.com/question/24734894

#SPJ4

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A tennis player has won 24 out of 36 matches. His sponsor says that he must win 70% of his total number of matches to qualify fo
pashok25 [27]

Answer:

He must win 11 more matches to qualify for the bonus.

Step-by-step explanation:

24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.

If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.

Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...

35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.

Hope that helps!

5 0
2 years ago
Read 2 more answers
What is the area of a triangle with 13 x 13 x 10?
Ksenya-84 [330]
The area of a triangle with the dimensions of 13 X 13 X 10 is 65.
4 0
3 years ago
Please help me thanks :)
Lina20 [59]

Answer:

A

Step-by-step explanation:

To sovle this we must combine the numbers togther and the variables togther.

We have:

8c+6-3c-2

Lets take out the c's and combine them:

8c -3c

=

5c

Now lets take out the numbers:

6-2

=

4

Now lets put these back together and we get the expression:

5c+4

This looks like A.

Hope this helps! :D

8 0
3 years ago
6=1-2n+5 how do I solve this?
Ivanshal [37]
6=1-2n+5\\ \\2n=1+5-6\\ \\ 2n=0\ \ /:2\\ \\ n=0
5 0
3 years ago
Read 2 more answers
Please help me ASAP. This is for Trigonometry, Math
Rufina [12.5K]

Answer:  C) exactly one triangle

<u>Step-by-step explanation:</u>

Given: ∠A = 45°, ∠B = 65°, side c = 4 cm

By the Triangle Sum Theorem, ∠C = 70°

Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.

\dfrac{\sin\angle A}{a}=\dfrac{\sin\angle B}{b}=\dfrac{\sin\angle C}{c}\\\\\\\dfrac{\sin 45^o}{a}=\dfrac{\sin65^o}{b}=\dfrac{\sin70^o}{4}

Thus, there is exactly one triangle.

5 0
3 years ago
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