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yulyashka [42]
3 years ago
7

What is the solution to the system? (___,___)

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

1=-6+b

b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)


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Answer:

k=4

Step-by-step explanation:

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2 years ago
With similar triangles, the ratios of all three pairs of corresponding sides are equal
Elza [17]
<h3>Yes, this is true.</h3>

To be considered similar triangles, the angles must be the exact same, and the sides must be proportional. The side lengths do not have to be exactly the same, but they must be proportional (like a ratio, suppose one triangle has a side length of 1, and the similar triangle has a side length of 3. The ratio is 1:3, and all sides will follow this ratio.)

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bulgar [2K]

Answer:

x=2+i\sqrt{11}

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Step-by-step explanation:

we have

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we know that

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in this problem we have

x^{2}-4x+15=0

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substitute in the formula

x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(1)(15)}} {2(1)}

x=\frac{4(+/-)\sqrt{16-60}} {2}

Remember that

i=\sqrt{-1}

x=\frac{4(+/-)\sqrt{-44}} {2}

x=\frac{4(+/-)2i\sqrt{11}} {2}

x=\frac{4(+)2i\sqrt{11}}{2}=2+i\sqrt{11}

x=\frac{4(-)2i\sqrt{11}}{2}=2-i\sqrt{11}

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3 years ago
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Contact [7]

Answer:

18x+23 is the awnser I see best

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3 years ago
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Expand 4(y+7) thank you if you answer this
Drupady [299]

Answer:

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Step-by-step explanation:

I simply distributed the 4:

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