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tiny-mole [99]
3 years ago
12

How can you solve 3(x + 2)=9 without distributing the 3?

Mathematics
1 answer:
Olin [163]3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

You can divide by 3 on both sides instead of distributing.

x+2=9÷3

x+2=3

x=3-2

x=1

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The sum of twice a number and four times the number is 54. Find the number.
miv72 [106K]
Twice a number can be written as 2n.

Four times the number can be written as 4n.

If the sum of 2n and 4n equals 54, then:

6n = 54

Divide both sides by 6 to solve for n:

n = 9
5 0
3 years ago
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I will mark brainliest to those who help please!
mixer [17]

Answer:

B. Reflect PQR across a horizontal line through R, and then translate the image so R aligns with Z.

Step-by-step explanation:

Imagine a horizontal line through point R. Once you reflect the triangle across this line, it will be facing the same direction as triangle XYZ. Then, once you align R with Z (they are corresponding points!) the triangles will be directly on top of each other.

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3 years ago
The solutions of x^2= 16x-28
STALIN [3.7K]

Answer:

Simplifying

x2 = 16x + -28

Reorder the terms:

x2 = -28 + 16x

Solving

x2 = -28 + 16x

Solving for variable 'x'.

Reorder the terms:

28 + -16x + x2 = -28 + 16x + 28 + -16x

Reorder the terms:

28 + -16x + x2 = -28 + 28 + 16x + -16x

Combine like terms: -28 + 28 = 0

28 + -16x + x2 = 0 + 16x + -16x

28 + -16x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0

28 + -16x + x2 = 0

Factor a trinomial.

(2 + -1x)(14 + -1x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

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

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

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying

14 + -1x = 0

Solving

14 + -1x = 0

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

Add '-14' to each side of the equation.

14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -1x = 0 + -14

-1x = 0 + -14

Combine like terms: 0 + -14 = -14

-1x = -14

Divide each side by '-1'.

x = 14

Simplifying

x = 14

Solution

x = {2, 14}

Step-by-step explanation:

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3 years ago
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What is the solution to 0.5x - 2 < 5.5?​
Harman [31]
0.5x - 2 < 5.5


Add 2 to both sides.


0.5x < 7.5

Now divide by 0.5 on both sides.

x < 15
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the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter​
Katyanochek1 [597]

Answer:

32cm

Step-by-step explanation:

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3 years ago
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