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2 years ago

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5?

Mathematics

1 answer:

Mariulka [41]2 years ago

3 0

Answer: y = -3x -7 or 3x + y = -7

Step-by-step explanation:

For two lines to be the same, they need to have the same slopes but different y-intercepts. First convert the equation 3x+y =5 into slope intercept form.

3x + y = 5 subtract 3x from both sides

-3x -3x

y = -3x + 5 in this case we know that the slope is -3 and the y-intercept is 5.

Now since they will have the same slope input the x and y coordinates and find the equation that will be parallel to it.

-4 = -3(-1) + b

-4 = 3 +b

-3 -3

b= -7

Since the y intercept is -7 the equation will be y = -3x -7 or 3x + y = -7

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3 years ago

The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base

den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = $36\frac{4}{5}$ square units

= $\frac{184}{5}$ square units

Height of the triangle = $9\frac{1}{5}$ units

= $\frac{46}{5}$ units

Formula to calculate the area of a triangle is,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

$\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})$

$\frac{184}{5}= (\frac{46}{10})\times (\text{Height})$

Height = $\frac{184}{5}\times \frac{10}{46}$

= $\frac{368}{46}$

= 8 units

Therefore, height of the given triangle is 8 units.

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1 year ago

Read 2 more answers

Diego is measuring sugar to bake cookies. He needs3\4 cups and he has 1/4 now.how much more does he need explain how you know

Verdich [7]

He needs 1/2 cup because 3/4-1/4=2/4 which is simplified to 1/2

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2 years ago

Today, everything at a store is on sale. The store offers a 20% discount. The regular price of a shirt is $14. What is the disco

USPshnik [31]

Answer:

$11.20

Step-by-step explanation:

The regular price of the T-Shirt is $14 dollars. The discount is 20% off.

20 percent of 14:

14 * 0.2 = 2.80

You would save $2.80.

14 - 2.80 = 11.20

The discount price should be $11.20.

Hope this helps.

4 0

2 years ago

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5? ​

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5?