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KIM [24]
3 years ago
10

Which is the slope of a line that is perpendicular to the line represented by the equation x-y = 8

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0

Answer:

-1

Step-by-step explanation:   from the equation,  x-y=8,  make  y the subject of the formulae , this gives - y=  -x +8

divide all through by (-) sign, this gives   y= x - 8

from the last equation above, the slope is the coefficient of x which is 1. since it is perpendicula, the answer is -1

by co efficient, we mean the number multiplying the unknown

aliya0001 [1]3 years ago
3 0

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - y = 8 into this form by subtracting x from both sides

- y = - x + 8 ( multiply through by - 1 )

y = x - 8 ← in slope- intercept form

with slope m = 1

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = -  \frac{1}{1} = - 1 → D

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Shania drove on the interstate for 310 miles without stopping. If she traveled at a constant rate and the trip took her 5 hours,
sp2606 [1]

Answer:

62 miles per hour/62 mph

Step-by-step explanation:

Shania drives at a CONSTANT rate, which means in the 5 hours it took her to drive, each hour she drove the same amount.

So we need to do 310 miles in 5 hours, which is:

310/5

Solving this, we get:

62

The answer is 62 miles per hour.

Happy learning!

4 0
3 years ago
Read 2 more answers
Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65.
horrorfan [7]
Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65 
65 is the outlier. 

A.) mean age without the outlier. count of the numbers : 9
5 x 30 =    150
1 x 31 =      31
3 x 32 =<u>      96</u>
total age  277
÷ # of pax<u>    9</u>
mean         30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 =   0.20 ⇒  0.20²  = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 =   1.20 ⇒  1.20² = 1.44 * 3 pax = 4.32

Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

Standard deviation = √0.84 = 0.916 

0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
8 0
3 years ago
Can someone remind me how to do this again?
Morgarella [4.7K]

Answer:

This the formula for the Pythagorean Theorem.

Step-by-step explanation:

This is the formula for the Pythagorean Theorem but its written in a different way but it will give you the same answer.

So first you will be given two sides which will be represented as leg a and leg b.

So you would plug in the two numbers in the equation c = square root of 18^2 + 12^2

Now you would find 18^2 which equals 324

Then you would find 12^2 which equals 144

Add them together and get 468

To get what c equals or the hypotenuse you have to find the square root of 468.

The square root of 468 is 21.633 but you round it to the nearest tenth and get 21.6

5 0
3 years ago
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fiasKO [112]
182 pounds with adding and subtracting with the context in the paragraph
4 0
3 years ago
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A polling agency conducted a survey by selecting 100 random samples, each consisting of 1,200 United States citizens. The citize
inn [45]

Answer:

Correct option (B).

Step-by-step explanation:

A 95% confidence interval for a population parameter implies that there is 0.95 probability that the population parameter is contained in that interval.

Or, if 100, 95% confidence intervals are created then 95 of those intervals would contain the population parameter with probability 0.95.

In this question the 95% confidence interval was created for population proportion of all United States citizens who were optimistic about the economy.

Then this 95% confidence interval implies that if 100 such confidence intervals were created then 95 of those would consist of the true proportion of US citizens who were optimistic about the economy..

Thus, the correct option is (B).

5 0
3 years ago
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