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koban [17]
3 years ago
11

The area of a rectangle is represented by 5x^2+19x+12. What is the length?

Mathematics
1 answer:
prisoha [69]3 years ago
7 0
5x^2+19x+12=5x^2+15x+4x+12=5x(x+3)+4(x+3)\\\\=(x+3)(5x+4)\\\\Answer:x+3\ \times\ 5x+4
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Help please!!!
Maslowich

y varies directly with x.

The constant of variation is k = 7

Step-by-step explanation:

We have to check whether both vary directly with each other or not.

Every pair of x and y will be considered one by one

If y varies directly with x, it should satisfy y = kx or k = yx

So,

For x= -2, y=-14

-14 = -2k\\k = \frac{-14}{-2}\\k = 7

For

x=3, y=21

21 = 3k\\ k = \frac{21}{3}\\k = 7

For

x=5, y=35

35 = 5k\\ k = \frac{35}{5}\\k = 7

As k is same for all pairs of x and y, it can be concluded that:

y varies directly with x.

The constant of variation is k = 7

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

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3 years ago
The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding
nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

s=\theta \cdot r (Eq. 1)

Where:

r - Radius, measured in feet.

\theta - Angular arch, measured in radians.

s - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred (r = 7\,ft, \theta = 2\pi)

s= 2\pi\cdot (7\,ft)

s = (3.14)\cdot (7\,ft)

s = 21.98\,ft

Juan (r = 17\,ft, \theta = 2\pi)

s= 2\pi\cdot (17\,ft)

s = (3.14)\cdot (17\,ft)

s = 53.38\,ft

And the difference between both travelled distances is:

\Delta s = 53.38\,ft-21.98\,ft

\Delta s = 31.4\,ft

Juan travel 31.4 feet farther than Fred in one rotation.

4 0
3 years ago
What is five sixths divided by nine thirds?
Nadusha1986 [10]

Answer:

0.270.27777777777

Step-by-step explanation:

You draw a diagram and color each side in for both of them

4 0
2 years ago
Please help I need help right now​
Andrew [12]

Answer:

I don't know

Step-by-step explanation:

but I feel like I've done that problem before lol.

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2 years ago
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