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3 years ago

Find the value of r so the line that passes through the pair of points has the given slope.

Mathematics

1 answer:

SOVA2 [1]3 years ago

4 0

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

$x_1=12, y_1=10\\x_2=-2, y_2=r$

Putting the values in slope of line formula,

$-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\$

Multiplying both sides by -14

$-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66$

The value of r is 66

Hence,

The missing value in the ordered pair is 66

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What is the length of the altitude of the equilateral triangle below?

Mice21 [21]

B. 3 √3

The shortcuts for a 30 60 90 triangle is that the:

Hypotenuse is 2 times the short leg

The long leg is √3 times the short leg.

Making it 3 √3

Another way is by the Pythagorean Theorem.

a^2+b^2=c^2

3^2+b^2=6^2

9+b^2=36

Subtract 9 from both sides

b^2=27

Square root both sides

b=5.2 or the √27

√27 can be simplified more

An equation that equals to 27 that has a perfect square is 9*3

√9* √3

The perfect square of 9 equals to 3

So 3 √3

4 0

2 years ago

A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

3 years ago

What is the greatest common factor of 32 and 96

nikitadnepr [17]

The greatest common fact or 32 and 96 is 2

5 0

2 years ago

Read 2 more answers

HELPPPP PLEASEE. IT IS DUE IN 20 MIN. THANK YOU SO MUCH! :)

12345 [234]

Answer:

A.) 65x + 35X + 50 = 250

65x = cost of concrete per cubic yard, x is yd³

35X = cost of pouring/finishing concrete per cubic yard, X is yd³

50 = delivery cost

250 = the money you have

B.) 400 + 15n = 505

15n = amount of money you deposite per week, n is # of week

400 = some money in account after n week passed

505 = initial money in bank

C.) 1.1X - 10 = 55

55 = total cost of clothes

1.1X = tax rate where X is the undiscounted clothe cost

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3 0

3 years ago

Can anyone explain how you graph things for example, like y=x-4 how would you graph that

Savatey [412]

Answer:

In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.

My paper work is below:

y = x - 4

0 = x - 4

-x = -4

x = 4

Hope this helped..

8 0

2 years ago