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stepladder [879]
3 years ago
10

Simplify this expression: 4(x+3)+3(5-x)

Mathematics
2 answers:
prisoha [69]3 years ago
8 0

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

mestny [16]3 years ago
7 0

Answer:

x+27

Step-by-step explanation:

Distribute

4(+3)+3(5−)

4+12+3(5−)

Rearrange terms

4x+12+3(5−x)

4+12+3(−+5)

Distribute

4x+12+3(−x+5)

4+12−3+15

Add the numbers

4x+12−3x+15

4+27−3

Combine like terms

4x+27−3x

1+27

Multiply by 1

1x+27

+27

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Answer:

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6 0
3 years ago
In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
Find x in the equation: 2x + 9 = 5x - 12
Olegator [25]

Answer:

x = 7

Step-by-step explanation:

Add 12 to both sides:

2x + 9 = 5x - 12

2x + 21 = 5x

Subtract 2x from both sides:

21 = 3x

Divide each side by 3:

7 = x

So, x = 7

7 0
3 years ago
2(3x+5)=7x-4<br> ?<br> 10=x-4<br> 14=x
andriy [413]

Answer:

×=14

Step-by-step explanation:

2(3×+5)=7×-4

6×+10=7×-4

7×-6×=10-(-4)

×=14

6 0
3 years ago
How to convert this equation to y=mx+b form:<br><br> 2(y-x)=2y-14
DanielleElmas [232]
So the problem statement wants us to convert a regular equation to a linear equation form, with slope and y-axis intercept, let's do try that:
2(y - x) = 2y - 14
2y - 2x = 2y - <span>14
-2x = -14
x = 7
Therefore we cannot have an equation of the form linear with slope and y intercept, but we do have </span><span>x = 7 which is a line equation as well, it means that for any value of y, x will always be 7, that is a line parallel to y-axis passing through x = 7 point</span>
8 0
3 years ago
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