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almond37 [142]
2 years ago
13

Write the expression 5x(x+9) -7(x+9) in complete factored form.​

Mathematics
2 answers:
tia_tia [17]2 years ago
6 0
5x^2 + 45 - 7x - 63 which simplifies to 5x^2 -7x -18?
sdas [7]2 years ago
3 0
<h3>Answer:</h3>

(5x-7)(x-9)

<h3>Step-by-step explanation:</h3>

Factoring is the inverse of the distributive property. This means that we want to find the factors, not the product.

Partial Factoring

The expression we are given has already been factored to an extent. Both terms are split into 2 different factors. This was done by factoring out the greatest common factor (GCF) from both terms. In the first term, the GCF was 5x, and in the second, the GCF was -7.

Complete Factoring

Even though it was partially factored, we can factor it more. When given the situation:

  • a(x + y) - b(x + y)

The expression can be factored into:

  • (a - b)(x + y)

You can add (subtract in this case because 7 is negative) the values from outside the parentheses together. This term can then be multiplied by the value within the parentheses.

Thus, 5x(x+9) -7(x+9) can be factored into:

  • (5x-7)(x-9)

Remember this trick only works when both terms share a factor like (x-9).

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

4 0
3 years ago
six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the pr
Dafna1 [17]
Given:
6 girls
4 boys

Probability of 1 girl being chosen: 1/6
Probability of 1 boy being chosen: 1/4
Probability of another boy being chosen: 1/3

1/6 = 0.17 x 100% = 17%
1/4 = 0.25 x 100% = 25%
1/3 = 0.33 x 100% = 33%

17% + 25% + 33% = 75%

The probability that exactly one girl and two boys will receive awards is 75%.
7 0
3 years ago
Read 2 more answers
What is the solution of n/6 = 36​
igor_vitrenko [27]

Answer:

n=216.

Step-by-step explanation:

Very simple problem - we just have to multiply both sides by 6, which will get rid of the 6 on the left.

36 x 6 = 216

8 0
3 years ago
Solve. 3t &lt; –15 (1 point)<br> t &lt; –5<br> t &gt; –5<br> t &lt; –45<br> t &gt; –45
Kipish [7]
I hope this helps you



3t÷3 < -15÷3


t < -5
8 0
3 years ago
1627187 to nearest ten
Orlov [11]
1627190 there's your answer.
3 0
3 years ago
Read 2 more answers
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