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juin [17]
3 years ago
7

What is 9a - 3 (2a - 4) = 15

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0
The answer is a=1

Here's the math:

9a-3(2a-4)=15

9a-6a+12=15-------------------------------Distribute the -3 across the parenthesis

3a+12=15-----------------------------------Combine like terms

3a=3----------------------------------------Subtract 12 from both sides

a=1-------------------------------------------Divide 3 from both sides

Hope this helped!! :))
faltersainse [42]3 years ago
5 0
<span>9a + -3(2a + -4) = 15 Reorder the terms: 9a + -3(-4 + 2a) = 15 9a + (-4 * -3 + 2a * -3) = 15 9a + (12 + -6a) = 15 Reorder the terms: 12 + 9a + -6a = 15 Combine like terms: 9a + -6a = 3a 12 + 3a = 15 Solving 12 + 3a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 15 + -12 3a = 15 + -12 Combine like terms: 15 + -12 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1</span>
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Answer:

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Step-by-step explanation:

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andrey2020 [161]

Answer:

1)  \sqrt{x^7}=x^{\frac{7}{2}

2)  \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}=z^\frac{9}{4}

Step-by-step explanation:

1) \sqrt{x^7}

We know that \sqrt{x}=x^{\frac{1}{2}

So, \sqrt{x^7}=x^{\frac{7}{2}

2) \sqrt[3]{y^5}

We know that \sqrt[3]{x}=x^{\frac{1}{3}

So, \sqrt[3]{y^5}=y^{\frac{5}{3}

3) \sqrt[5]{a^{12}}

We know that \sqrt[5]{x}=x^{\frac{1}{5}

So, \sqrt[5]{a^{12}}=a^{\frac{12}{5} }

4) \sqrt[4]{z^{9}}

We know that \sqrt[4]{x}=x^{\frac{1}{4}

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6 0
3 years ago
Is 21/25 equal to 85/100
Iteru [2.4K]

Answer:

nope it is equal to 84/100 though

Step-by-step explanation:

cross multiply

21                       x

--------             -----------

25                      100

21*100= 2100

2100/25= 84

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I hope this helped!

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3 years ago
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andreev551 [17]
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3 years ago
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In ΔABC, if AB = 14 and BC = 9, AC may be equal to
Pie

Answer:

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Step-by-step explanation:

There is a fact in any triangle:

<em>The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides</em>

If the lengths of the three sides of a triangle are a , b and c, then

  • a - b < c < a + b
  • b - c < a < b + c
  • a - c < b < a + c

In Δ ABC:

→ (BC) - (AC) < AB < (BC) + (AC)

→ (AB) - (AC) < BC < (AB) + (AC)

→ (AB) - (BC) < AC < (AB) + (BC)

∵ AB = 14 units

∵ BC = 9 units

- Find the sum and difference of them

∵ AB - BC = 14 - 9

∴ AB - BC = 5

∵ AB + BC = 14 + 9

∴ AB + BC = 23

- That means the length of AC could be any integer greater

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∴ 5 < AC < 23

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

5 0
2 years ago
Read 2 more answers
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