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postnew [5]
3 years ago
6

The length of the line segment AB equals 3x+1 BC equals 4x-5 AC equals 8x-9

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

X = 5

Step-by-step explanation:

Here is what I am picturing (not to scale)

A ----------------B-----------C

We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).

With reference to the line, AB + BC = AC

So,

3x + 1 + 4x - 5 = 8x - 9

7x - 4 = 8x - 9

5 = x

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What is the first step in solving this system of equations by elimination? 5a + 3b = –9 2a – 5b = –16
Elis [28]
<span>Multiply one of the equations so that both equations share a common complementary coefficient.
       In order to solve using the elimination method, you need to have a matching coefficient that will cancel out a variable when you add the equations together. For the 2 equations given, you have a huge number of choices. I'll just mention a few of them.
   You can multiply the 1st equation by -2/5 to allow cancelling the a term.
   You can multiply the 1st equation by 5/3 to allow cancelling the b term.
   You can multiply the 2nd equation by -2.5 to allow cancelling the a term. You can multiply the 2nd equation by 3/5 to allow cancelling the b term.
   You can even multiply both equations.
For instance, multiply the 1st equation by 5 and the second by 3. And in fact, let's do that. 5a + 3b = –9 2a – 5b = –16 5*(5a + 3b = -9) = 25a + 15b = -45
   3*(2a - 5b = -16) = 6a - 15b = -48
       Then add the equations 25a + 15b = -45
   6a - 15b = -48
   =
   31a = -93
   a = -3
       And then plug in the discovered value of a into one of the original equations and solve for b.</span>
5 0
3 years ago
Use multiplication to find 2 equivalent fractions to 3/4 and 4/5
Gre4nikov [31]
3/4 = 6/8 = 9/12
4/5 = 8/10 = 12/15
8 0
3 years ago
Read 2 more answers
If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to
Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0
3 years ago
Which of the equations below represents a line parallel to the x-axis? A. x=5 B. y=1/x C. y=x D. y=5
coldgirl [10]
I believe it’s D. Y=5
If it’s not right , I apologize
Good luck
5 0
3 years ago
Make x the subject of the formula y= 2x +5
Kryger [21]

Answer:

x= (y-5)/2

Step-by-step explanation:

Isolate the x variable.

y= 2x +5

Subtract 5 from both sides.

y-5=2x

Divide both sides by 2.

(y-5)/2= x

5 0
2 years ago
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