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Margaret [11]
2 years ago
9

-4x-2y=-12 4x+8y=-24

Mathematics
1 answer:
Alla [95]2 years ago
8 0

Answer:

x=6\\ \\y=-6

Step-by-step explanation:

Given the system of two equations:

\left\{\begin{array}{l}-4x-2y=-12\\ \\4x+8y=-24\end{array}\right.

Add these two equations (left side add to left side and right side add to right side):

-4x-2y+4x+8y=-12+(-24)\\ \\-2y+8y=-12-24\\ \\6y=-36\\ \\y=-6

Substitute y=-6 into the first equation:

-4x-2\cdot (-6)=-12\\ \\-4x+12=-12\\ \\-4x=-12-12\\ \\-4x=-24\\ \\x=6

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How many different five-member teams can be made from a group of 17 people?
goblinko [34]

Answer:

3, with 2 people left over

3 0
2 years ago
Point F is on circle C. What is the length of line segment GF?
Levart [38]
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?

12.5  units
15.0  units
17.5  units
20.0  units

according to the image, GF= GC + CF

CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem

that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )

GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0  units

8 0
3 years ago
Read 2 more answers
Slope = -1, y-intercept = 3
andreev551 [17]

what's the question pymp

5 0
2 years ago
Please help on this one question
Nonamiya [84]

Answer:

9ab+3a

Step-by-step explanation:

2a*3b=6ab

2a*1=2a

a*3b=3ab

a*1=a

adding everything together=6ab+2a+3ab+a=9ab+3a

3 0
2 years ago
Read 2 more answers
Can any body help my son with this is very important please some body help him in tanks very much I hope some body help me
riadik2000 [5.3K]

The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.

1). Days in May: 31
     Days in a year:  365
     Their ratio:    31/365 .

2).  Sides of a triangle:  3
       Sides of a square:  4
       Their ratio:        3/4 .

The middle box explains how two ratios can be equal,
and it gives you a very detailed example.  You should
read the middle box and understand it.
Ratios are fractions.  They can be equal in just the same
way that any two fractions can be equal. 
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.

3).  8/12         Cook up three equal ratios.
       1.  divide top and bottom by 2 . . . . . 4/6
       2.  divide top and bottom by 4 . . . . . 2/3
       3.  multiply top and bottom by 9 . . . . 72/108
       These are just some that I chose.
       There are millions of others. 

4).  20/25      Cook up three equal ratios.
       1.  divide top and bottom by 5 . . . . . 4/5
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       These are just some that I chose.
       There are millions of others. 

5).  5/6         Cook up three equal ratios.
       1.  multiply top and bottom by 2 . . . . 10/12
       2.  multiply top and bottom by 3 . . . .
       3.  multiply top and bottom by 9 . . . . 45/54
       These are just some that I chose.
       There are millions of others. 

6).   10/14         Cook up three equal ratios.
       1.  divide top and bottom by 2 . . . . 5/7
       2.  multiply top and bottom by 2 . . . .
       3.  multiply top and bottom by (you choose) . . . . 


5 0
3 years ago
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