All categories

2 years ago

What is the equation of the two points 3,5 and 5,0

Mathematics

1 answer:

DiKsa [7]2 years ago

6 0

Answer:

The equation of the line is y = -5/2x + 25/2

Step-by-step explanation:

To find the equation of the line, we first need the slope. We can get that by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(3 - 5)

m = (5)/(-2)

m = 5/-2

m = -5/2

Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y - 0 = -5/2(x - 5)

y = -5/2x + 25/2

You might be interested in

Plz Help Me With All Of The Problems Thx

love history [14]

Answer:

Step-by-step explanation:

17. A board 8 1/4 wanting to be cut out of the board are a number of pieces each piece 1 3/4 long

Convert both 8 1/4 and 1 3/4

8 1/4 = Multiply the denominator(4) by the whole number(8) to get 32 then add it to the numerator(1) to get 33, then put it over the original denominator to get 33/4. Do the same for the rest of the questions.

1 3/4 = 7/4

Divide 33/4 by 7/4 since we want to see how many times we can get 7/4 out of 33/4

33/4 ÷ 7/4

33/4 * 4/7, Changing the division sign to multiplication changes the fraction or number after it to the inverse of itself 7/4 = 4/7

132/28 - simplify by dividing the numerator and denominator by 4

33/7 - She will be able to cut 33/7 boards

Converting back to mixed fraction, divide the numerator by the denominator to give 4, write it as the whole number then write the remainder, 5, as the numerator and use the original denominator 7

= 4 5/7 boards

18. Total = 50

One serving = 1 1/3 = 4/3

50 ÷ 4/3

50 * 3/4

150/4 - simplify

75/2

= 37 1/2 servings

19. Saturday = 1 1/3 = 4/3

Sunday = 2 3/4 = 11/4

In a week, she watches 4/3 + 11/4 = 49/12 hrs

In 3 weeks, she watches 49/12 * 3 = 147/12- simplify = 49/4 hrs

= 12 1/4 hrs

20. Total = 10

Sister = 3 1/2 = 7/2

Brother 4 1/5 = 21/5

Total given out = 7/2 + 21/5 = 77/10

What's left = 10 - 77/10 = 7/3

= 2 1/3 lbs

21. One day = 4 1/4 = 17/4

One week = 7 days

17/4 * 7 = 119/4

= 29 3/4 houses

6 0

3 years ago

Witch fraction is equivalent to 4/20

Vinvika [58]

Answer:

2/10

Step-by-step explanation:

smart 'v'

3 0

2 years ago

Read 2 more answers

Real numbers are sometimes rational numbers

9966 [12]

Answer:

False

Step-by-step explanation:

There are no real numbers that are considered rational or irrational numbers. The definition of a real number is that it's a combination of both rational and irrational numbers.

8 0

2 years ago

(HURRY! I'M BEING TIMED)Write the partial fraction decomposition of the rational expression.

Aleonysh [2.5K]

Answer:

The partial fraction decomposition is $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}$ .

Step-by-step explanation:

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.

To find the partial fraction decomposition of $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}$ :

First, the form of the partial fraction decomposition is

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{A}{x + 1}+\frac{B}{\left(x + 1\right)^{2}}+\frac{C}{x + 2}$

Write the right-hand side as a single fraction:

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B}{\left(x + 1\right)^{2} \left(x + 2\right)}$