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3 years ago

Which pair of lines are perpendicular to one another ?

Mathematics

1 answer:

Ronch [10]3 years ago

8 0

Lines are perpendicular to each other when their slopes are of the opposite parity (plus or minus) and the reciprocal of each other. I will check the answer that you have given. Already, in one of the equations, (y - 3 = 4/7x)we can see the slope. Now we just need to find the slope in 7x+4y=20. We can do this by isolating y and then getting y by itself. Doing this, we get:

4y = -7x + 20
y = -7/4x + 5

Since we can see that the slopes of the two lines multiply to negative one, then you are right, the two lines are parallel.

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Vanyuwa [196]

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6 0

4 years ago

The mayor gets elected every four years. Treasurer gets elected every six years. Both were elected this year. How many years bef

aleksandrvk [35]

<h3>There are 11 years before both the elections happen in the same year.</h3>

Step-by-step explanation:

The mayor gets selected once in every 4 years.

So, the number of years the mayor elections takes place

= 1, 4 ,8, 12, 16, 20, 24, 28,....

Now, the Treasurer gets selected once in every 6 years.

So, the number of years the Treasurer elections takes place

= 1, 6, 12, 18, 24, 30

Now,as we can see from both statements, the year in which both elections happen are the common factors of 4 and 6.

The first common factor of 4 and 6 is 12.

So,in twelfth year both elections happen in the same year again.

Hence, there are 11 years before the elections happen in the same year.

4 0

3 years ago

Fifteen more than half of a number is 26. Find the number. 22 11 37 5.5

Gnom [1K]

First you subtract 15 from 26 and get 11.
Second you multiply 11 by 2 and get 22.
Therefore your answer is 22.

3 0

3 years ago

Read 2 more answers

The ratio of measures of two complementary angles is 4:5

Drupady [299]

Answer:

angles are 40 and 50

Step-by-step explanation:

let angles be 4x , 5x

4x + 5x = 90

x= 90 / 9

x= 10

angles are 4x , 5x

therefore angles are 40 , 50

6 0

4 years ago

Help me!!! I honestly hate number lines..

pentagon [3]

-2.42 goes just before -2.5
-0.8 goes in the middle between -0.5 and -1
0.33 goes between 0 and 0.5
1.23 goes after 1 before 1.5
3/4 = 0.75 which goes in the middle between 0.5 and 1
-2 7/8 goes just before -3

:) Hope that helps :)

7 0

3 years ago