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3 years ago

Find the equation of a line passing through the point (1, 1) and having a slope of 3.

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

<u>Given</u>:

The equation of the line passes through the point (1,1) and having a slope of 3.

We need to determine the equation of the line.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (1,1) and the slope m = 3 in the above formula, we get;

$y-1=3(x-1)$

Simplifying the terms, we get;

$y-1=3x-3$

Adding both sides of the equation by 1, we get;

$y=3x-2$

Thus, the equation of the line is $y=3x-2$

Hence, Option C is the correct answer.

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You have $10 to go bowling with your friends. You need to rent shoes for $4. Each game (g) costs $3. Write and solve an equation

dexar [7]

Answer:

The equation is: x = (y - $4) / g

Where x is the number of games you can play;

y is the amount you have

and g is the cost of each game

You can play only 2 games

Step-by-step explanation:

From the question, you have $10 to go bowling and you need to rent shoes for $4. Hence, after renting the shoes, you will have $10 - $4 left, that is you will have $6 left. To determine the number of games you can play, that will be the amount you have left after renting shoes divided by the cost of each game.

Let the number of games you can play be x games

and the amount you have be y

and the cost of each game be g

Hence,

x = (y - $4) / g

From the question,

y = $10

and g = $3

∴ x = ($10 - $4)/ $3

x = $6 / $3

x = 2

Hence, you can play only 2 games

6 0

3 years ago

What divides a two dimensional shape into two congruent shapes

zaharov [31]

Answer:

Rectangle is a 2dimensional shape so, let me explain using it

The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.

Another example is parallelogram

The diagonal of a parallelogram also divides the figure into two triangles that are congruent.

Step-by-step explanation:

6 0

3 years ago

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million. If the firm has debt of $6.4 million and total asse

aniked [119]

Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

Thus, profit = 5.6% of $13.6 million

profit = 5.6 / 100 * $13.6 million = $0.7616 million

Profit is same as net income

Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

ROA in percentage = 0.0777*100 = 7.77

Thus, ROA is 7.77 percent .

4 0

3 years ago

Charlie has 468 onions he puts 12 in each bag. He sells each bag for 8$ a bag.

antoniya [11.8K]

Answer:

$312

Step-by-step explanation:

468/12

12 * 8

5 0

2 years ago

Read 2 more answers

Lian is paid for SR 75 per hour. Using p for her pay and h for the hours of work, which function rule represents

Andru [333]

Answer:

The function p = 75h represents this situation.

Step-by-step explanation:

We know the equation of linear equation in the slope-intercept form is

$y = mx+b$

where

m = rate of change = slope

b = y-intercept

Let 'h' be the number of hours

Let 'p' be the pay

Given that Lian is paid SR 75 per hour.

so the rate of change of slope = m = 75

As there is no initial condition, so b = 0

y = mx+b

Now, mapping the information data into the slope-intercept form

p = y

m = 75

h = x

b = 0

Thus, the equation becomes

p = 75h

Therefore, the function p = 75h represents this situation.

VERIFICATION:

Given the equation

p = 75h

for h = 1

p = 75(1)

p = 75

Thus, Liam is paid SR 75 per hour.

4 0

2 years ago