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Sergeeva-Olga [200]
4 years ago
6

I need help and i would appreciate it and can you explain (That's if you can explain)

Mathematics
1 answer:
Finger [1]4 years ago
6 0

Answer:

x=-2

y=-3

Step-by-step explanation:

-9x+4y = 6

9x+5y = -33

We will add these together to eliminate x

-9x+4y = 6

9x+5y = -33

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

0x +9y =- 27

9y = -27

Divide by 9

9y/9 = -27/9

y =-3

We still need to find x

9x +5y = -33

9x +5(-3) = -33

9x-15 = -33

Add 15 from each side

9x+15-15 =-33+15

9x=-18

Divide by 9

9x/9 = -18/9

x = -2

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What is an equation of the line that is perpendicular to y+1=-3(x-5) and passes through the point 4,-6
Oliga [24]

Answer:

y=\frac{1}{3}x-\frac{16}{3}

Step-by-step explanation:

Arranging the given equation in slope-intercept form ( y = mx + b ):

y+1=-3(x-5)\\y+1=-3x+15\\y=-3x+15-1\\y=-3x+14

<em>We know that the perpendicular line would have a slope (m) that is </em><em>negative reciprocal </em><em>of this (\frac{1}{3}). Thus we can write the perpendicular line's equation as  y=\frac{1}{3}x+b. </em>

<em />

<em>Now putting x = 4 and y = -6 into the equation, we can solve for b:</em>

<em>y=\frac{1}{3}x+b\\-6=\frac{1}{3}(4)+b\\-6=\frac{4}{3}+b\\b=-6-\frac{4}{3}\\b=-\frac{16}{3}</em>

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Thus, the equation of the perpendicular line is  y=\frac{1}{3}x-\frac{16}{3}

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3 years ago
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svetoff [14.1K]

Answer:

1, 2, and 3

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If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea
777dan777 [17]

Answer:

<u>The lengths of side A is 22.4 and B is 11.9</u>.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be x.

So, the side A be 2x.

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

(2x)^2+(x)^2=(25)^2

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<em>Dividing both sides by 5 we get:</em>

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<em>Using square root on both sides we get:</em>

x=11.18.

<u>B rounding to the nearest tenth =  11.9.</u>

Now, to get A by substituting the value of x:

2x\\=2\times 11.18\\=22.36.

<u>A rounding to the nearest tenth =  22.4.</u>

Therefore, the lengths of side A is 22.4 and B is 11.9.

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