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4 years ago

Write the equation on the line passing through the two points (-2,11) and (5,-3)

Mathematics

1 answer:

nalin [4]4 years ago

3 0

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 11) and (x₂, y₂ ) = (5, - 3)

m = $\frac{-3-11}{5+2}$ = $\frac{-14}{7}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 11), then

11 = 4 + c ⇒ c = 11 - 4 = 7

y = - 2x + 7 ← equation of line

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The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol

Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

$M = \frac{a+b}{2}$

The standard deviation is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

$M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5$

Standard deviation:

$S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64$

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0

3 years ago

Find an ordered pair that satisfies both of the equations below.

liraira [26]

Answer: (x, y) = (2, 3)

This is the system of equations 2x - 3y = -5, 5x - 2y = 4. Multiply the first equation by 2 and the second equation by 3 to get 4x - 6y = -10, 15x - 6y = 12. Now we can use elimination: subtract the equations to get -11x = -22, so x = 2. 2x - 3y = 2(2) - 3y = 4 - 3y = -5, so 3y = 9 and y = 3. The solution is (2, 3).

i hope this helped! :D

4 0

3 years ago

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

Valentin [98]

Answer:

Part A: 7n + 30= -5 and 8n + 40= 16

Part B: 7(8) + 30= 86 and 8(8) + 40= 104

Part C: Company A saves you 12.

Step-by-step explanation:

Company A: 7n + 30

Company B: 8n + 40

7n + 30= -5 8n + 40= 16

7(8) +30= 86 8(8) +40= 104

7(2) + 30= 44 8(2) + 40= 56

56 - 44= 12

7 0

4 years ago

Which model shows the correct factorization of x2 + 2x – 8?

expeople1 [14]

To factor x^2 + 2x - 8 follow these steps

1) Write to factors, with x as the first term, this way:

(x )(x )

2) The sign to the right of the x in the first factor is the same sign of the coeficient of x in the polynomial.

That is +.

The sign to the right of the x of the second factor is the product of the sign of the coefficent of x (this is +) and the sign of the independent term (this is - ).

So that is (+).(-) + -.

Now the two factors have this form:

(x + ) (x - )

3) Now find two numbers whose product is - 8 and whose difference is +2

Those numbers are + 4 and -2.

Then the two factors are:

(x + 4) (x - 2).

So the answer if that the correct factorization is (x + 4) (x - 2)

4 0

3 years ago

Read 2 more answers

A rectangular prism has a square base with side

Misha Larkins [42]

Answer:

20 sqft

Step-by-step explanation:

Formula is bh (where b is area of the base and h is height of prism.)

2*2*5

4*5

=20 ft^2

4 0

4 years ago