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3 years ago

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope

Mathematics

1 answer:

lara [203]3 years ago

7 0

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

1) Find m(the slope of the equation):

Since the slope-intercept form is already given, then you can obtain the slope from it by using y = mx + b

m=5

2) Substitute the given point into the point-slope form y - y1 = m(x - x1)

y-(-13) = 5(x - (-2))

y + 13 = 5(x + 2)

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4 years ago

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3 years ago

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<h2><u>Hope This Helped!</u></h2>

3 0

3 years ago

Someone help I have no clue how to do this

Travka [436]

Using proportions, it is found that their mom put 90 candies in the bowl.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, the total amount is of x, hence, from the text:

Tom's fraction is $\frac{1}{2}x$ .

Carlos' fraction is $\frac{1}{3} \times \frac{1}{2}x = \frac{1}{6}x$ .

Mary's fraction was of: $\frac{3}{5} \times \left(x - \frac{x}{2} - \frac{x}{6}\right) = \frac{1}{5}x$

The remaining fraction after Mary was:

$x - \frac{x}{2} - \frac{x}{6} - \frac{x}{5} = \frac{30x - 15x - 5x - 6x}{30} = \frac{2x}{15}$

This amount is of 12, hence the total number of candies was:

2x/15 = 12

2x = 15 x 12

x = 15 x 6

x = 90.

More can be learned about proportions at brainly.com/question/24372153

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3 0

2 years ago

A farmer has only goats and hens in his farm,on a particular day,he sold 12 animals (goats and hens) and the total number of the

saw5 [17]

The number of goats sold is 4 and hens sold is 8.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement which equates two algebraic expression with an equal sign.

Let the total number of goats sold be g

Let the total number of hens sold is h

g + h = 12

The total no. of legs of a goats sold will be 4g

and the total number of legs of a hens sold will be 2h

and it is given that

4g +2h = 32

The system of equation formed is

g + h = 12

4g +2h = 32

Multiplying equation (1) by 2 and then (1) - (2)

-2g = -8

g = 4

Therefore the number of goats sold is 4 and hens sold is 8.

To know more about Equation

brainly.com/question/9585437

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5 0

2 years ago