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Scorpion4ik [409]
2 years ago
11

4x+5y=20 in point slope form

Mathematics
2 answers:
saul85 [17]2 years ago
8 0

Answer:

<em>y = </em>-\frac{4}{5}<em> x + 4 </em>

Step-by-step explanation:

<em>Ax + By = C is standard form of linear equation. </em>

<em>y - </em>y_{1}<em> = m( x - </em>x_{1}<em> ) </em>

<em>y = mx + b is slope intercept form of linear equation. </em>

<em>Thus, to write the point-slope equation we have to have the coordinates of the point that given line is passing through!</em>

I assume, that we have to re-write the standard form of linear equation into slope-intercept form. That's mean, we have to solve given equation for "y".

5y = - 4x + 20

<em>y = </em>-\frac{4}{5}<em> x + 4</em>

Anna35 [415]2 years ago
4 0

Answer:

y = -4/5x - 4

Step-by-step explanation:

y - y1 = m(x-x1)

4x + 5y = 20 ( subtract 4x on both sides)

5y = -4x + 20 (divide by 5 on each side)

y = -4/5x + 4

So we know one point is (0,4) y-intercept

now plug in (0,4)

y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)

y - 4 = -4/5x (now add 4 on each side)

y = -4/5x - 4

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I'm assuming it's 1 lemon piece among 5 other pieces, if so then 1 out of 6.

Step-by-step explanation:

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The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

                    54   2

                    27   3

                      9   3

                      3   3

                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

              Length                        Width

              2 x 3 = 6           and    3 x 3 = 9

or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

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It took emily 25 min to rideHer bicycle to the repair shop in one hour and 15 minutes to walk back home. If Emily her bicycle to
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Answer:the repair shop is 5km from her house.

Step-by-step explanation:

Let x represent the distance of the repair shop from her house.

Let y represent Emily's speed when riding.

Distance = speed × time

It took Emily 25 min to ride her bike to the repair shop. Converting 25 min to hours, it becomes 25/60 = 5/12 hours.

Distance covered,

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It took her 1h 15 min to walk back home. Converting to hours, it becomes 1 + 15/60 = 1 1/4 = 5/4

If she can ride her bike 8km/h faster than she can walk, it means that her speed while walking would be y 8 8

Therefore,

Distance covered,

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Since the distance remains the same, then

5y/12 =(5y - 40)/4

Crossmultiplying, it becomes

5y × 4 = 12(5y - 40)

20y = 60y - 480

60y - 20y = 480

40y = 480

y = 480/40 = 12

x = 5y/12 = 5 × 12/12 = 5 km

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