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3 years ago

Which is an equation of the line that passes through the points (5,2) and (10,-3)

Mathematics

1 answer:

arsen [322]3 years ago

6 0

Answer:

y = x - 4

Step-by-step explanation:

equation of a line can be expressed as

(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)

(x - 5)/(10 - 5) = (y - 2)/(-3 - 2)

cross multiplying,

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

clearing the parentheses

-5x + 10 = 5y - 10

hence,

5y = 5x - 20

y = x - 4

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Step-by-step explanation:

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3 years ago

Explain why an account balance less than -40 dollars represents a dept greater than 40 dollars

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4 years ago

The diameter of a circle is 4 units.<br> What is the radius of the circle?<br> units

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Step-by-step explanation:

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3 years ago

Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%. Find

Papessa [141]

Answer:

1) $\text{P(at least one boy and one girl)}=\frac{3}{4}$

2) $\text{P(at least one boy and one girl)}=\frac{3}{8}$

3) $\text{P(at least two girls)}=\frac{1}{2}$

Step-by-step explanation:

Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.

To Find : The probability of each event.

1) P(at least one boy and one girl)

2) P(two boys and one girl)

3) P(at least two girls)

Solution :

Let's represent a boy with B and a girl with G

Mr. and Mrs. Romero are expecting triplets.

The possibility of having triplet is

BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG

Total outcome = 8

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

1) P(at least one boy and one girl)

Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6

$\text{P(at least one boy and one girl)}=\frac{6}{8}$

$\text{P(at least one boy and one girl)}=\frac{3}{4}$

2) P(at least one boy and one girl)

Favorable outcome = BBG, BGB, GBB=3

$\text{P(at least one boy and one girl)}=\frac{3}{8}$

3) P(at least two girls)

Favorable outcome = BGG, GBG, GGB, GGG=4

$\text{P(at least two girls)}=\frac{4}{8}$

$\text{P(at least two girls)}=\frac{1}{2}$

4 0

4 years ago

Read 2 more answers

9. Write The eQuaTION OF THE LINE THAT Passes THROUGH THE

lara31 [8.8K]

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Further explanation:

The general form of equation of line is:

$y=mx+b$

Given

(x1,y1) = (9,0)

(x2,y2) = (0, -6)

We have to find the slope first:

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}$

Putting the value of slope in general form

$y=\frac{2}{3}x+b$

To find the value of b, we have to put a point in the equation

Putting (9,0) in equation

$0=\frac{2}{3}(9)+b\\0=2*3+b\\0=6+b\\b=-6$

Putting the values of b and m in general form

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Keywords: Equation of line, Pount-slope form

Learn more about point-slope form at:

#LearnwithBrainly

3 0

4 years ago

Which is an equation of the line that passes through the points (5,2) and (10,-3)​

Which is an equation of the line that passes through the points (5,2) and (10,-3)