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Mashutka [201]
3 years ago
11

Slope of (4,-1) (3,-2)​

Mathematics
2 answers:
Alona [7]3 years ago
6 0

-1/2

lolollolololololololololololo

fgiga [73]3 years ago
3 0

Answer:

-1/2

Step-by-step explanation:

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A box of 12 eggs( a dozen)is divided between four people, what fraction of the 12 eggs will rach get
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3/12 = 1/4
If simplified then second option
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2 years ago
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Explain relationship between the factors of a quadratic expression, the roots of the related quadratic equation, and the x-inter
Zinaida [17]

Step-by-step explanation:

So, let's use x2 - 3x - 28 as an example.

 

It's factors are (x - 7)(x + 4).

 

The roots are the x-values that make our expression equal 0. In order for x2 - 3x - 28 to equal 0, either of our factors need to equal 0, since 0 times anything is 0.

 

x2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

 

x - 7 = 0

x = 7

(7 - 7)(7 + 4) = 0(11) = 0

 

x + 4 = 0

x = -4

(-4 - 7)(-4 + 4) = -11(0) = 0

 

That gives us two points on our graph, (7,0) and (-4,0). Where are those? On the x-axis! Thus, there are our x-intercepts.

 

By the way, for the future, along the x-axis, y = 0, so if you are asked for the x-intercepts (or roots), set y = 0 and solve for x.

 

Along the y-axis, x = 0, so if you are asked for the y-intercepts, set x = 0 and solve for y.

 

y = 02 - 3(0) - 28

y = -28

 

So, the y-intercept(s) of our same equation is y = -28, or (0,-28).

 

Boom.

3 0
3 years ago
The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya i
Alexeev081 [22]

Maya travels  4.19 feet/sec faster than Kelly !

Difference in distance is : 106.76-56.52 = 50.24 feet

<u>Step-by-step explanation:</u>

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ Distance = 2\pi r

⇒ Distance = 2(3.14) 9

⇒ Distance = 56.52feet

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ Distance = 2\pi r

⇒ Distance = 2(3.14) 17

⇒ Distance = 106.76feet

Therefore , Difference in distance is : 106.76-56.52 = 50.24 feet

Now , Speed of both is give by

⇒ Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec   And ,

⇒ Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels  4.19 feet/sec faster than Kelly !

8 0
4 years ago
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