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sergij07 [2.7K]
3 years ago
10

Solve the following system of equations express your answer as an ordered pair in the format of (a,b) with no spaces between the

numbers of symbols?
2x+5y=16
-5x-2y=2
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0
Once we find what x and y is, that's where they intercept and we can write that as an ordered pair as (x,y) Now we need to find what y is. So let's put x into the original first equation 3x+4y=16 3(4)+4y=16 12+4y=16 ---Subtract 12 from both sides 4y=4 ---Divide both sides by 4 y=1 Alright, so our ordered pair is (4,1) 
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Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

6 0
2 years ago
See if you can answer this brainbop72
77julia77 [94]

Answer:

24,456 is 2

3 is whatever u say

and 1 is 641,086 divided my 41,616

8 0
3 years ago
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