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3 years ago

How do you do number 7

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Ayyy, we use our good friend ratios.

So when doing this, we know that the ratios of these need to be similar.

We can solve by setting this up as:

14/10 = x/6

Edit: Wait, nope, maybe I am write. I see you already did Pythagoras

Ahh, try this.

14/16 = x/6

The answer is 5.25!

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Distance between parallel lines y=3x+10 and y=3x-20

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1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula $d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}$ to find the distance from point $(x_0,y_0)$ to the line Ax+By+C=0.

The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

$d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}$ .

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2 years ago

What is the value of x, when -9(x-5)=x+22 1/2

Kipish [7]

Answer:

x = 2.25

Step-by-step explanation:

-9(x - 5) = x + 22 1/2

Distribute the nine and then add 9x to both sides

-9x + 45 = x +22 1/2

+ 9x + 9x

Then try to get x alone

45 = 10x + 22 1/2

-22 1/2 -22 1/2

22.5 = 10x

$\frac{22.5}{10} = \frac{10x}{10}$

2.25 = x

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