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4 years ago

What is the distance between 23 and -8 on a number line?

Mathematics

1 answer:

elena55 [62]4 years ago

7 0

Answer: 31

Step-by-step explanation:

To find the distance, find the difference between the number.

23 - (-8) = 31 So the distance is 31 units.

Note: To go from -8 to 23 you will have to add 31 to -8 and to go from 23 to -8 you will have to subtract 31 so the distance is 31

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Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2

jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

$(y - y1) = m1(x - x1)$

Now, put all values.

$(y + 2) = m1(x - 2)$

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

$(y + 2) = \frac{ - 1}{5} (x - 2)$

Simplify them.

$5(y + 2) = - x + 2$

$5y + 10 = - x + 2$

$x + 5y + 8 = 0$

Therefore the required equation is x+5y+8= 0.

Hope it helps...

7 0

4 years ago

What is the circumference of a circle with a diameter of 9 cm?

Kamila [148]

Answer:

the answer=28.27cm

using formula

c=2πr

d=2r

solving for c

C=πd

=π.9

=28.27

hope it help you

5 0

3 years ago

A shopper buys 3 notebooks for $5 each. The percent sales tax is 8%. How much is the total sale?

Tamiku [17]

Answer:

$16.20

Step-by-step explanation:

3x5=15 15x.08=1.2 15+1.2=16.2

7 0

3 years ago

Read 2 more answers

What does it mean to get a 150% salary raise? Explain in words and then give an example showing a calculation. pls and thx.

Simora [160]

if im correct its 50 more of the original amount.

example: if i make 100 a day , im now making 150 a day

3 0

3 years ago

Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?

Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4( $\frac{-2}{5}$ )-4(3x)

=8/5-12x. This is your answer!

7 0

3 years ago