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2 years ago

Solve for x in the equation

Mathematics

2 answers:

Sati [7]2 years ago

8 0

So 1st make it equal to zero
x^2+4x-12
(x+6)(x-2)
so
x=-6 or 2 is the correct answer

kap26 [50]2 years ago

6 0

First, move all the terms to one side
x^2+4x-4-8=0
Then, simplify.
x^2+4x-12=0
After that, factor. Ask yourself: Which two numbers add up to 4 and multiply to -12? That would be -2 and 6. Then, rewrite the expression.
(x-2)(x+6)=0
Lastly, solve for x.
x=2, -6
Your final answer would be x = -6 or x = 2

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2 years ago

What is 1 5/8 divided by 5 1/7

weeeeeb [17]

Answer: 91/288

Step-by-step explanation: To divide mixed numbers, first write the mixed numbers as improper fractions.

We can do this by multiplying the denominator by the whole number and then adding the numerator. Then, we put our new numerator over our old denominator.

So here, we can write 1 and 5/8 as the improper fraction 13/8 and we can write 5 and 1/7 as the improper fraction 36/7.

So here, we have 13/8 ÷ 36/7.

Dividing by a fraction is the same as multiplying by the reciprocal of that fraction.

So here, 13/8 ÷ 36/7 is the same as 13/8 × 7/36.

So now we are simply multiplying fractions and we do this by multiplying across the numerators and multiply across the denominators.

$\frac{13}{8} x \frac{7}{36} = \frac{91}{288}$

So now we have 91/288 which is in lowest terms.

This means that 1 and 5/8 divided by 5 and 1/7 is 91/288.

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2 years ago

Which of the following equations is equivalent to 3(a + 4) – 5(a – 2) = 22

mestny [16]

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3 0

2 years ago

Read 2 more answers

S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°

adoni [48]

Step-by-step explanation:

Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS

Given

m∠RQS=(4x-20)°

m∠SQT=(3x+14)°

m∠RQT=155°

The addition postulate is true

m∠RQT= m∠RQS + m∠SQT

Substitute the given parameters into the formula

155 = 4x-20+3x+14

155 = 7x-6

7x = 155+6

7x = 161

x = 161/7

x = 23

Solve for m∠RQS

m∠RQS = 4x-20

m∠RQS = 4(23)-20

m∠RQS = 92-20

m∠RQS = 72°

Solve for m∠SQT

m∠SQT = 3x+14

m∠SQT = 3(23)+14

m∠SQT = 69+14

m∠SQT = 83°

6 0

2 years ago