Can some one tell me the answer Find the missing angle

Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

Solution:

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

8 0

4 years ago

A. Change the following fractions to mixed numbers.

qaws [65]

Answer:

A )

1 - $1\frac{4}{7}$

2 - $5\frac{3}{5}$

3 - $3\frac{1}{5}$

4 - $4\frac{1}{4}$

5 - $6\frac{3}{4}$

B )

1 - $\frac{1}{4}$

2 - $\frac{2}{3}$

3 - $\frac{1}{3}$

4 - $\frac{4}{25}$

5 - $\frac{5}{8}$

C )

1 - 1

2 - $\frac{3}{4}$

3 - 1

4 - $\frac{3}{4}$

5 - $\frac{7}{9}$

D )

1 - $\frac{5}{12}$

2 - $\frac{2}{3}$

3 - $\frac{1}{3}$

4 - $\frac{1}{2}$

5 - $\frac{5}{12}$

6 0

3 years ago

A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers"

Maru [420]

Answer:

Answer : D

Step-by-step explanation:

A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers" children on the verge of reading. There are 19 children in Mr. Grimace's kindergarten class. Of these, 13 are pre-readers. Using the plus four confidence interval method, a 90% confidence interval for the difference in proportions of children in these classes that are pre-readers is â0.104 to 0.336.

Which of the following statements is correct?

A) This confidence interval is not reliable because the samples are so small.

B)This confidence interval is of no use because it contains 0, the value of no difference between classes.

C)This confidence interval is reasonable because the sample sizes are both at least 5.

D) This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population.

The Answer is D - This confidence interval is not reliable because these samples cannot be viewed as simple random samples taken from a larger population.

In this setup, all the students are already involved in the data. This is not a sample from a larger population, but probably, the population itself.

4 0

3 years ago

An equation has one solution. Never Sometimes Always

marysya [2.9K]

Answer:

Sometimes

Step-by-step explanation:

because you never know how many way you can do it

4 0

3 years ago

Read 2 more answers

In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusi

Fantom [35]

There are 10 digits from 0 to 9, inclusive.

Thus, number of ways in which four numbers will be drawn from an urn containing balls numbered 0-9, inclusive is given by $10^4=10,000$

The number of ways in which a ticket holder will have the first two digits in the correct order is the same as the number of ways in which two numbers will be drawn from the urn containing balls numbered 0-9, inclusive and is given by $10^2=100$

Therefore, the probability that a ticket holder has the first two digits in exact order is given by $\frac{100}{10,000} = \frac{1}{100} =0.01$

7 0

3 years ago