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2 years ago

Solve for x: 3x + 2x + 7 = 32

Mathematics

2 answers:

Leni [432]2 years ago

6 0

Answer:

The answer is x = 5

Step-by-step explanation:

I added similar elements, then I subtracted 7 from both sides, next I divided by 5 both sides, and lastly I got x = 5 as my answer.

yKpoI14uk [10]2 years ago

4 0

3x + 2x = 5x
5x + 7 = 32
5x = 32 - 7
5x = 25
5:5 ~ 25:5 = x = 5
The answer is x = 5
I hope this helps!

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

2 years ago

I need this urgently!! I need by 7:15!!

Sati [7]

The question is telling you that the length of the rectangle is 3 metres more than twice the width.

So let:

w= width

L= length

Because the length is 3 metres more than twice the width: L= 2w+3

They also tell you the perimeter is 48 metres.

P= L+L+w+w

So the equation of the perimeter is:

48= (2w+3)+(2w+3)+2w +2w

48= 2(2w+3) + 4w

To find w, expand and simplify.

48= 4w+6+4w

48= 8w + 6

42= 8w

5.25=w

Now that you know the width, plug in the value into the length equation:

L= 2w+3

L=2(5.25)+3

L=10.50+3

L=13.5

If I am wrong let me know! I hope this helps.

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2 years ago

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2 years ago

Read 2 more answers

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qaws [65]

Answer:277

Step-by-step explanation:

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2 years ago

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Answer:

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[16, 12, 17, 13, 15]

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2 years ago