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Brrunno [24]
2 years ago
12

What is the solution to the equation 8+4=2(x-1)? O 5 O11/2 O 13/2 O 7

Mathematics
2 answers:
maks197457 [2]2 years ago
8 0

Answer:

5

Step-by-step explanation:

Simplifying

8 + 4 = 2(x + 1)

Combine like terms: 8 + 4 = 12

12 = 2(x + 1)

Reorder the terms:

12 = 2(1 + x)

12 = (1 * 2 + x * 2)

12 = (2 + 2x)

Solving

12 = 2 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, and all other terms to the right.

Add '-2x' to each side of the equation.

12 + -2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0

12 + -2x = 2 + 0

12 + -2x = 2

Add '-12' to each side of the equation.

12 + -12 + -2x = 2 + -12

Combine like terms: 12 + -12 = 0

0 + -2x = 2 + -12

-2x = 2 + -12

Combine like terms: 2 + -12 = -10

-2x = -10

Divide each side by '-2'.

x = 5

Simplifying

x = 5

Nookie1986 [14]2 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

Here are the steps I took to simplify this equation [to isolate x]:

8+4=2(x-1)

12 = 2x - 2

+ 2      + 2

14 = 2x

÷2   ÷2

7 = x

(check: 12 = 2 (7-1)  ->   12 = 2(6) true statement means that answer is correct)

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Tems11 [23]

Answer:

∠A ≈ 66°

∠B ≈ 24°

AC ≈ 1.2

Step-by-step explanation:

SOH CAH TOA and the Pythagorean theorem are useful tools for solving right triangles. The first tells you ...

Sin = Opposite/Hypotenuse

For ∠A, that means ...

sin(A) = BC/AB = 2.7/2.95

The inverse sine function (sin⁻¹ or arcsin) is used to find the angle from its sine value, so ...

A = arcsin(2.7/2.95) ≈ 66°

Likewise, the ratio for angle B involves the adjacent side:

Cos = Adjacent/Hypotenuse

cos(B) = BC/AB = 2.7/2.95

B = arccos(2.7/2.95) ≈ 24°

Of course, angles A and B are complementary, so once you know angle A, you know that angle B is ...

∠B = 90° -∠A = 90° -66° = 24°

___

The Pythagorean theorem can be used to find the unknown side. It tells you ...

AB² = AC² + BC²

2.95² = AC² + 2.7²

AC = √(2.95² -2.7²) ≈ 1.2

___

These calculations are shown in the attachment using a TI-84 graphing calculator set to degrees mode. Any scientific or graphing calculator will do.

5 0
3 years ago
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Damm [24]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

Step 1: Add 21 to both sides.

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Therefore, the solution is y < 106.

To graph it on a graph:

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6 0
2 years ago
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Tom [10]

180 degrees - 116 degrees =64 degrees (angle PDC)

180 degrees - 64 degrees = 116 degrees (angle APD)


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-5 1.2 + 6 3.4+ (-4 1.4) =
djyliett [7]

Answer:

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Step-by-step explanation:

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