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3 years ago

The coordinate pairs (-5, -11), (0, -1), and (5, 9) are solutions to which function?

1 answer:

5 0

So, the slope is 2 for each of the points. Now, you plug it into y=mx+bSo, you get, y=2x+b
To find b, you choose any pair of x and y values.-5=-22+bb=17

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Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? 19

gavmur [86]

Suppose the spinner lands on a. There's a 1/3 chance that it'll land on a the second time.
Suppose the spinner lands on b. There's a 1/3 chance that it'll land on b the second time.
Suppose the spinner lands on c. There's a 1/3 chance that it'll land on c the second time.

We've covered all possibilities for the first spin, and they're all equal, so their average is 1/3.

The probability that it'll land on the same letter twice is 33.3%.

5 0

3 years ago

Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in t

Gnom [1K]

Answer:

There was a %5 increase

Step-by-step explanation:

You just have to substract 65-60 and you get 5

7 0

2 years ago

A mini basketball court has an area of 500

aivan3 [116]

Answer:

Step-by-step explanation:

let x,y be the sides of court.

2(x+y)=90

x+y=90/2=45

y=45-x

xy=500

x(45-x)=500

45x-x²=500

x²-45x+500=0

x²-25x-20x+500=0

x(x-25)-20(x-25)=0

(x-25)(x-20)=0

x=25,20

when x=25

y=45-x=45-25=20

when x=20

y=45-20=25

sides are 25 ft,20 ft.

8 0

2 years ago

Read 2 more answers

When a figure is rotated, does every point move the same distance? Explain. *

fenix001 [56]

Answer:

Yes. Since the angle of rotation is the same, the distance that each point moves is the same.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

When the solutions are going to be complex, which methods can be used to solve quadratic equations?

yKpoI14uk [10]

You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).

Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4

The vertex is at (-1,4)

Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 2
c = 5

$\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{4 - 20 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}$
$\text{x = }\dfrac{ -2 \pm 4i }{2}$
x = -1 +/- 2i

x1 = -1 + 2i
x2 = -1 - 2i And we are done.

7 0

3 years ago