All categories

3 years ago

What is an equation of the line that passes through the points (−3,3) and (3,−7)?

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

line equation in general y = mx + b

m is the slope, and

b is the y-intercept

3=-3m+b

-7=3m+b

if we plus this two equations

3-7=2b

2b=-4

b=-2

3m=b-3=-5

m=-5/3

So,

$y=-\frac{5}{3}x-2$

Komok [63]3 years ago

4 0

Answer:

$y=-\frac{5}{3} x+8$

Step-by-step explanation:

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

= $\frac{3-(-7)}{-3-3}$

= $\frac{10}{-6}$

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

So $3=-\frac{5}{3} *(-3)+b$ , b=8

So $y=-\frac{5}{3} x+8$

You might be interested in

12 is what percent of 96

DaniilM [7]

12 * 100 = 1200/96 = 12.5
Answer = 12.5%
You mulitply 12 by a hunndred, since a percent means "out of a hundred." Then, you divide that, by 96, since, you want to find the percent out of 96.

8 0

3 years ago

Please I need help PLEASE

frutty [35]

Answer:

15/2.5 18/h

Step-by-step explanation:

5 0

3 years ago

What is the area of the triangle below? 8 in. 17 in.

zmey [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Determine the fraction of total interest owed using the rule of 78. After the six month of a 12 month loan, the numerator is: {(

Dima020 [189]

Answer:

The fraction of total interest owed is $\frac{57}{78}$

The value of it to the nearest tenth is 73.1%

Step-by-step explanation:

Let us solve it using the rule of 78

∵ The loan = 12 month

∵ The numerator is after 6 month

- Substitute n by 1 in each bracket

∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}

∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}

∴ The numerator = {57}

∴ The numerator of the fraction is 57

∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}

- substitute n by 1 in each bracket

∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}

∴ The denominator = {78}

∴ The denominator of the fraction is 78

The fraction of total interest owed is $\frac{57}{78}$

Now find the value of the fraction

∵ The fraction = $\frac{57}{78}$

∴ Its value = 0.7307692308 × 100%

∴ Its value = 73.07692308%

- Round it to the nearest tenth

∴ Its value = 73.1%

The value of it to the nearest tenth is 73.1%

5 0

3 years ago

A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th

umka2103 [35]

Answer:

The expected repair cost is $3.73.

Step-by-step explanation:

The random variable X is defined as the number of defectives among the 4 items sold.

The probability of a large lot of items containing defectives is, p = 0.09.

An item is defective irrespective of the others.

The random variable X follows a Binomial distribution with parameters n = 9 and p = 0.09.

The repair cost of the item is given by:

$C=3X^{2}+X+2$

Compute the expected cost of repair as follows:

$E(C)=E(3X^{2}+X+2)$

$=3E(X^{2})+E(X)+2$

Compute the expected value of X as follows:

$E(X)=np$

$=4\times 0.09\\=0.36$

The expected value of X is 0.36.

Compute the variance of X as follows:

$V(X)=np(1-p)$

$=4\times 0.09\times 0.91\\=0.3276\\$

The variance of X is 0.3276.

The variance can also be computed using the formula:

$V(X)=E(Y^{2})-(E(Y))^{2}$

Then the formula of $E(Y^{2})$ is:

$E(Y^{2})=V(X)+(E(Y))^{2}$

Compute the value of $E(Y^{2})$ as follows:

$E(Y^{2})=V(X)+(E(Y))^{2}$

$=0.3276+(0.36)^{2}\\=0.4572$

The expected repair cost is:

$E(C)=3E(X^{2})+E(X)+2$

$=(3\times 0.4572)+0.36+2\\=3.7316\\\approx 3.73$

Thus, the expected repair cost is $3.73.

4 0

3 years ago