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Sedaia [141]
3 years ago
15

What is the slope of a line perpendicular to the line whose equation is x-3y=-6x−3y=−6​

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 3y = - 6 into this form

Subtract x from both sides

- 3y = - x - 6 ( divide all terms by - 3 )

y = \frac{1}{3} x + 2 ← in slope- intercept form

with slope m = \frac{1}{3}

Given the slope m of a line then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

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Two consecutive integers have a sum of 53. Find the integers.
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Answer:

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Step-by-step explanation:

Let one of the numbers be x,

Then the two numbers are x and x +1

And,

x+x+1 = 53

2x = 53 - 1 (Transposing 1 from LHS to RHS)

2x = 52

x = 52/2

x = 26

x + 1 = 27

So, The two numbers are 26 and 27.

7 0
2 years ago
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
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Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

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3 years ago
What was the relationship like between the settlers and Native Americans
miskamm [114]

Answer: Initially, white colonists viewed Native Americans as helpful and friendly. They welcomed the Natives into their settlements, and the colonists willingly engaged in trade with them. They hoped to transform the tribes people into civilized Christians through their daily contacts.

Step-by-step explanation:

3 0
2 years ago
The roosevelt middle school band is having a fundraiser. They sold a total of 300 hotdogs and hamburgers. Hot dogs were sold for
STALIN [3.7K]

Answer:

180 hamburgers

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Step-by-step explanation:

In this question, we are asked to calculate the number of hamburgers and hotdogs sold by a company given the amount made by them and the total number of these snacks sold

We proceed as follows;

Let the amount of hotdogs sold be x and the amount of hamburgers sold be y.

We have a total of 300 snacks sold, mathematically;

x + y = 300 ..........(I)

Now let’s look at the prices.

x number of hotdogs sold at $2, this give a total of $2x hotdogs

y number of hamburgers sold at $3, this give a total of $3y.

Adding both to give total, we have ;

2x + 3y = 780.......(ii)

This means we have two equations to solve simultaneously. From equation 1, we can say x = 300 -y

Now let’s insert this in the second equation;

2(300-y) + 3y = 780

600-2y + 3y = 780

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Recall; x + y = 300

x = 300 -y

x = 300-180 = 120

5 0
2 years ago
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Answer:

S= 350+60w

Step-by-step explanation:

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