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3 years ago

Complete the equation for the linear function whose graph contains the points (-1,-2) and (3.10)

1 answer:

7 0

That's point-slope form:

y - y1 = m(x - x1)

Where y1 is the y-value of a point on the line, x1 is the x-value, and 'm' is the slope.

So let's find out what goes in the first blank.

As we can see, they replaced 'x1' with -1, and one of our points have an x-value of -1, that point is (-1, -2), this means y2 must be -2:

y + 2 = m(x + 1)

Now let's find the slope between the two points.

m = y2-y1/x2-x1

m = (10+2)/(3+1)

m = 12/4

m = 3

So the slope is 3, plug that in:

y + 2 = 3(x + 1)

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Find the solution to the equations. 2х-у=-3 х+у=0 0,0 -1,1 1,-1

kobusy [5.1K]

It’s 0,0. The correct answer!

3 0

3 years ago

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(5x - 2y = 22 8x - 2y = 28 Please!! Urgent

alexandr402 [8]

9514 1404 393

Answer:

(x, y) = (2, -6)

Step-by-step explanation:

Subtract the first equation from the second.

(8x -2y) -(5x -2y) = (28) -(22)

3x = 6

x = 2

Substitute this into either equation and solve for y.

8(2) -2y = 28

8 -y = 14 . . . . . . . . divide by 2

y = 8 -14 = -6 . . . . add y-14 to both sides

The solution is (x, y) = (2, -6).

_____

I like a graphing calculator for a quick solution to such problems.

6 0

3 years ago

You need to reverse the symbol to solve which inequality?

Marina86 [1]

When you multiply/divide by a negative number while solving the inequality, you reverse the symbol.

A.) 4(5 - y) ≥ 80 To solve this, isolate/get the variable "y" by itself in the inequality. Divide 4 on both sides

$\frac{4(5-y)}{4} \geq \frac{80}{4}$

5 - y ≥ 20 Subtract 5 on both sides

5 - 5 - y ≥ 20 - 5

-y ≥ 15 Divide -1 on both sides to get "y" by itself

$\frac{-y}{-1} \geq \frac{15}{-1}$ Because you are dividing by a negative number, you need to reverse the sign

y ≤ -15

B.) 2(y - 3) ≥ 8 Isolate "y", divide 2 on both sides

y - 3 ≥ 4 Add 3 on both sides to get "y" by itself

y ≥ 7

C.) 3y - 4 > 1 Add 4 on both sides

3y > 1 Divide 3 on both sides to get "y" by itself

$y>\frac{1}{3}$

D.) $-\frac{3}{4} +6y > \frac{1}{4}$ Isolate "y", add 3/4 on both sides

6y > 1 Divide 6 on both sides to get "y" by itseld

$y>\frac{1}{6}$

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3 years ago

A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 centimeters and a height of 12 centimeters.

masya89 [10]

Answer:

area of rectangle = 120 cm²

area of triangle = 24 cm²

area of trapezoid = 144 cm²

Step-by-step explanation:

12 * 10 = 120

12 * 4 = 48

48 / 2

add the triangle and rectangle area together

6 0

3 years ago

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A population of rabbits oscillates 19 above and below average during the year, hitting the lowest value in january. the average

Helen [10]

Answer:

$p(t)=650+\frac{160}{12}t+19sin(\omega t)$

Step-by-step explanation:

The initial value of the population is 650

Each year the population increases 160

The population oscillates 19 above and below.

Due to this information you can assume that the function is:

$p(t)=650+\frac{160}{12}t+19sin(\omega t)$

where for t=0 p(t)=650

where t=12 160/12 (12) = 160

you can assume that the sinusoidal function has a period of one month. Thus, the population oscillates several times in one year with an amplitu of the oscillation of 19. The, w is:

$\omega (1)=2\pi\\\\\omega=2\pi$

4 0

3 years ago