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galina1969 [7]
3 years ago
11

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers?

Mathematics
2 answers:
Ksju [112]3 years ago
6 0

Answer:

The third one, x+(x+1)+(x+2)=-21 because x, x+1 and x+2 are three consecutive numbers.

AnnyKZ [126]3 years ago
4 0

Answer:

the third one

Step-by-step explanation:

i took the test

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A triangle has sides which are consecutive odd integers and an
wolverine [178]

Answer:

Perimeter = 15

Step-by-step explanation:

We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.

Thus means that we can write the 3 terms as;

(x - 2), x, (x + 2)

Thus, perimeter is;

P = (x - 2) + x + (x + 2)

P = 3x

If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.

Thus, this side is (x + 2)

Using cosine rule, we have;

(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120

Expanding, we have;

x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)

This reduces to;

4x = x² - 4x + x² - 2x

2x² = 10x

2x = 10

x = 10/2

x = 5

Thus, other sides are;

(x - 2) = 5 - 2 = 3

And (x + 2) = 5 + 2 = 7

So,perimeter is;

P = 3x = 3 × 5 = 15

8 0
2 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
otez555 [7]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =A = \pi r^2

Putting values, we get:

1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}

Therefore, the sprinkler can spread water 18 feet away.

6 0
2 years ago
PLEASE HELP!!! Classify each real number. List all the sunsets in which the number belongs.
DaniilM [7]

Answer: I'm not sure what the question is asking.  So sorry

Step-by-step explanation:

5 0
2 years ago
What is the y-intercept of y = 4x?
lukranit [14]

Answer:

y-intercept: (0,0)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Simplify the algebraic expression: 14xy + xy – 4yx + yx
Marina86 [1]

Answer:

15xy-3yx


Combine like terms:

each term with similar variables are added together.

example: 14xy and xy


6 0
2 years ago
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