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tamaranim1 [39]
3 years ago
13

Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)​

Mathematics
2 answers:
aleksley [76]3 years ago
5 0

Answer:

the equation of a parallel line is : y=-2/5 x -1

Step-by-step explanation:

2x+5y=15

put the equation in the form of y=mx+b

2x+5y=15

5y=15-2x

y=15/5-2/5 x

y=-2/5 x+3

parallel lines has the same slope : m=-2/5

passes through point (-10,3) find b

y=-2/5 x +b

3=-2/5(-10)+b

3=20/5 +b

3=4+b

b=3-4

b=-1

the equation of a parallel line is : y=-2/5 x -1

Lyrx [107]3 years ago
3 0

Answer:

The equation of the line is,

y =  -  \frac{2}{5} x - 1

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

2x + 5y = 15

5y = 15 - 2x

y = 3 -  \frac{2}{5} x

y =   - \frac{2}{3} x + 5

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

y =   - \frac{ 2}{5}x + b

let \: x =  - 10,y = 3

3 =  -  \frac{2}{5} ( - 10) + b

3 = 4 + b

3 - 4 = b

b =  - 1

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9966 [12]

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

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Can someone please answer this question answer it correctly and show work please
mrs_skeptik [129]

Answer:

$1,216

Step-by-step explanation:

Costs for Handsome Homes fabric

Area (sq. ft.)   Cost (dollars)

        (x)                  (y)

       250               475

       500               950

       750               1,420

       1000             1,900

If you divide any y-value by its corresponding x-value, the quotient will be 1.9

This means that each square foot costs $1.90 at Handsome Homes

Discount Diggers = 20% per sq. ft. less than Handsome homes

Discount Diggers = $1.90 - 20%

Discount Diggers = $1.90(100 - 20%)

Discount Diggers = $1.90(0.8)

Discount Diggers = $1.52

Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.

$1.52 = 1 sq. ft.

$1.52(800) = 800 sq. ft.

$1,216

800 square feet of landscape fabric at Discount Diggers costs $1,216

Hope this helps :)

5 0
3 years ago
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
Show work please help
Snezhnost [94]

Answer:

20 yd^2

Step-by-step explanation:

Your work is partially correct.

Assuming that the sides marked 8 yds and 2 yds are parallel, then the area of the trapezoid is

A =    ( 8 yds + 2 yds)

        ------------------------ * 4  =  20 yd^2

                      2

4 0
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