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olya-2409 [2.1K]
3 years ago
13

Which of the following statements are true, given ​

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

the answer is on second choice

Step-by-step explanation:

hope it helps carry on learning

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Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t
katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on y=x line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

(x,y)\rightarrow (y,x)

Points on line EF

(0,6) , (-5,-2)

On reflection of this line on y=x the new points we get for line JK are

(6,0),(-2,-5)

Points on line GH

(-4,9),(-9,1)

On reflection on y=x line the new points we get for line LM are

(9,-4),(1,-9)

Slope of line JK

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}

Slope of line LM

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}

For two line to be parallel, their slopes will be same.

m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

5 0
3 years ago
Write an equation of the line that passes through (-4, 1) and is parallel to the
LiRa [457]

Answer:

y-1=2(x+4) or y=2x+9

Step-by-step explanation:

y - 3 = 2(x + 7)

y=mx+b

m=2

(x1,y1) -> (-4, 1)

(y−y1)=m(x−x1)

plug in

y-1=2(x+4)

y-1=2x+8

y=2x+9

test:

(1)=2(-4)+9

1=-8+9

1=1

4 0
2 years ago
Use the quadratic formula to solve for x. <br> 5x²-3x=3<br> Round to the nearest 100th
Semenov [28]

Answer: -0.530662 or 1.13066

Step-by-step explanation:

4 0
4 years ago
Choose the equation that represents a line that passes through points (-3,2) and (2,1)
yawa3891 [41]

Answer:

y = -0.2x + 1.4

Step-by-step explanation:

I graphed the points on the graph below. Then I found the slope of the line.

If this answer is correct, please make me Brainliest!

6 0
3 years ago
Blank tens 15 ones = 6 tens 5 ones
alexgriva [62]
5 tens because 6 tens plus 5 ones is equal to 65 and x tens plus 15 ones is equal to 65 also so it would be 5 tens because 5 times 10 equals 50 then plus 15 equals 65 so 65=65

Answer: 5 tens

Hope This Helps!!!
6 0
3 years ago
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