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2 years ago

In which of these figures appear to contain a set of lines that is neither parallel nor perpendicular?

Mathematics

1 answer:

Art [367]2 years ago

5 0

Answer:

Step-by-step explanation:

The lines in A meet at a right angle (90°) so they are perpendicular.

The lines in B meet at a right angle (90°) so they are perpendicular.

The lines in C do not meet and appear to be parallel.

The lines in D meet at an angle that does not appear to be 90°, so they are neither perpendicular nor parallel.

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siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

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$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

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$15x-2x=48+30$

Combine like terms

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<em>Find the value of y</em>

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$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

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For y=3

$x=22-5(3)=7$

therefore

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1 year ago

In which of these figures appear to contain a set of lines that is neither parallel nor perpendicular?​

In which of these figures appear to contain a set of lines that is neither parallel nor perpendicular?