376 ×74 explain the solving steps

Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin

ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

Same slopes
Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + $\frac{5}{2}$ x

∴ y = $\frac{5}{2}$ x - 5

- The value of m is the coefficient of x

∴ m = $\frac{5}{2}$

∴ The slope of the given line is $\frac{5}{2}$

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = $\frac{5}{2}$

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = $\frac{5}{2}$ (3) + b

∴ -5 = $\frac{15}{2}$ + b

- Subtract $\frac{15}{2}$ from both sides

∴ b = $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x - $\frac{25}{2}$

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0

3 years ago

Find and compare the growth rates in the weekly number of specialty items produced at each factory.

DerKrebs [107]

0.129 is the change in the growth rate of company.

According to statement

we have to find and compare the growth rate of the company weekly.

we use the growth rate formula is

GROWTH RATE = present - past / present

Substitute the values in this formula

1st week = 220-190 / 220

1st week = 0.136

2nd week = 252-220 / 252

2nd week = 32 / 252

2nd week = 0.126

3rd week = 290-252 / 290

3rd week = 0.131

4th week = 337 - 290 / 337

4th week = 0.139

5th week = 380 - 337 / 380

5th week = 0.113

6th week = 440 - 380 / 440

6th week = 0.136

7th week = 505 - 440 / 505

7th week = 0.128

Now we find the average value of growth rate

Average = 0.136 + 0.126+0.131+0.139+0.113+0.136+0.128 /7

Average = 0.909/7

Average = 0.129

So, 0.129 is the change in the growth rate of company.

Learn more about GROWTH RATE here brainly.com/question/20115298

#SPJ1

7 0

2 years ago

Scott brought $23.25 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was one fourth as much

fenix001 [56]

Answer:

Paint set cost = 10.5 , Sketch book cost = 7 , Brush cost = 1.75

Step-by-step explanation:

Let the cost of paint set be = p

Cost of sketchbook 's' = (2 / 3) p

Cost of brush 'b' = 1/4th of s = 1 / 4 [ (2 / 3) p ] = (1 / 6) p

Total expenditure = Money bought - Money left = 23.25 - 4 = 19.25

Total expenditure = Cost of (pen + of sketchbook + of brush) = p + s + b

= p + (2 / 3) p + (1 / 6) p = 19.25 → p + 2p / 3 + p / 6 = 19.25

( 6p + 4p + p ) / 6 = 19.25 → 11p / 6 = 19.25 → p = ( 19.25 x 6 ) / 11

p = 10.5 ; s = (2 / 3) p = 2 / 3 (10.5) = 7 ; b = (1 / 6) p = 10.5 / 6 = 1.75

8 0

3 years ago

22. What is an equation of the parabola with vertex at the origin and focus (−4, 0)?

miv72 [106K]

The correct answer for the question shown above is the second option (Option b), and the option cwhich is:

b) x = -1/16y^2
c) y=-1/16x^2

The explanation is shown below:

The focus of a parabola is (h,k+1/4a), then, you have:

h,k= (0,0)
1/4a=1/4(-1/16)

Then, you obtain:

1/4a=-4

Therefore, the focus of the equation of the parabola x = -1/16y^2 and the parabola y=-1/16x^2 <span>is F(0-4)
</span>
So, as you can see, the correct answer is the options mentioned before, the option b and the option c.

7 0

3 years ago

I need help someone pls help

Taya2010 [7]

Answer:

I can't see the question but whatever it is you got this

Step-by-step explanation:

8 0

2 years ago

376 ×74 explain the solving steps​

376 ×74 explain the solving steps