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3 years ago

3(x - 2) + 48 = -3x

Mathematics

1 answer:

kow [346]3 years ago

8 0

Answer: X=-7

Step-by-step explanation:

Using PEMDAS;

Step 1: Distribute the "3" in the part of the equation "3(x-2)"

3x - 6

Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation

Therefore, re-written as,

3x - 6 + 48 = -3x

Step 3: Evaluate the re-written equation

Using basic mathematics skills, we can evaluate the following,

3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x

As shown, the answer is x=-7.

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3 years ago

Given ACM, angle C=90º. AP=9, PM=12. Find AC, CM, AM.

Gnesinka [82]

Answer:

AM = 25, AC = 15, CM = 20

Step-by-step explanation:

The given parameters are;

In ΔACM, ∠C = 90°, $\overline{CP}$ ⊥ $\overline{AM}$ , AP = 9, and PM = 16

$\overline{AC}$ ² + $\overline{CM}$ ² = $\overline{AM}$ ²

$\overline{AM}$ = $\overline{AP}$ + PM = 9 + 16 = 25

$\overline{AM}$ = 25

$\overline{AC}$ ² = $\overline{AP}$ ² + $\overline{CP}$ ² = 9² + $\overline{CP}$ ²

∴ $\overline{AC}$ ² = 9² + $\overline{CP}$ ²

Similarly we get;

$\overline{CM}$ ² = 16² + $\overline{CP}$ ²

Therefore, we get;

$\overline{AC}$ ² + $\overline{CM}$ ² = 9² + $\overline{CP}$ ² + 16² + $\overline{CP}$ ² = $\overline{AM}$ ² = 25²

2· $\overline{CP}$ ² = 25² - (9² + 16²) = 288

$\overline{CP}$ ² = 288/2 = 144

$\overline{CP}$ = √144 = 12

From $\overline{AC}$ ² = 9² + $\overline{CP}$ ², we get

$\overline{AC}$ = √(9² + 12²) = 15

$\overline{AC}$ = 15

From, $\overline{CM}$ ² = 16² + $\overline{CP}$ ², we get;

$\overline{CM}$ = √(16² + 12²) = 20

$\overline{CM}$ = 20.

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3 years ago

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krok68 [10]

Answer:

Step-by-step explanation:

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3 years ago

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Semenov [28]

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The length of one side of the square is 3.

Step-by-step explanation:

The perimeter of any given shape is all of the sides added together. So, the perimeter of the triangle is 5x + 4x + 3x. Added together, 12x.

The perimeter of the square is (x + 2)*4. Distributed, it's 4x + 8. Since we know they're equal, set it up like this:

12x = 4x + 8

You then find that x = 1. Plug that into one side of the square, x + 2, to get 3.

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3 years ago