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wariber [46]
3 years ago
10

Point M is the midpoint of AB¯¯¯¯¯¯¯¯. Find the length of AB¯¯¯¯¯¯¯¯.

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer:

AB = 142

Step-by-step explanation:

If M is the midpoint, then AM = MB

6x+5 = 7x -6

Subtract 6x from each side

6x-6x+5 = 7x-6x -6

5 = x-6

Add 6 to each side

5+6 = x-6+6

11=x

We want to find AB

AB = 6x+5+7x-6

AB = 13x -1

     = 13(11) -1

     =143-1

     = 142

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nadezda [96]
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20\%x=45\\\\
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5 0
3 years ago
Using division to find ratios that are equivalent to 40:28
GrogVix [38]

Answer: 10:7

Step-by-step explanation:

40:28=10*7

6 0
3 years ago
I need algebra help.....
Lubov Fominskaja [6]

Answer:

y=4(3)^x

Step-by-step explanation:

From the table given in the question,

x            y              Difference                  Ratio

1            12                     -                             -

2           36              36-12 = 24              \frac{36}{12}=3

3          108            108-36 = 72             \frac{108}{36}=3

4          324            324-108 = 216        \frac{324}{108}=3

5          972            972-324 = 648      \frac{648}{216}=3

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

y=a(b)^x

For a point (1, 12),

12=a(b)^1

ab=12 ------(1)

For another point of the table (2,36),

36=a(b)^2

ab^2=36 --------(2)

Equation (2) divided by equation (1)

\frac{ab^2}{ab}=\frac{36}{12}

b=3

From equation (1),

3a=12

a=4

Therefore, exponential function will be,

y=4(3)^x

7 0
3 years ago
Find the slope of the line passing through the pair of given points.<br> (5, 7) and (2,7)
gulaghasi [49]

Answer:

m = 0

Step-by-step explanation:

m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0

8 0
3 years ago
A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i
Fed [463]

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

x+y=5200 or x=5200-y  .... (1)

As, total income for the two investments is $194, so equation is:

0.04x+0.03y=194   ....(2)

Putting value of x from (1) in (2)

0.04(5200-y)+0.03y=194

208-0.04y+0.03y=194

0.01y=14

y=1400

And x=5200-y

x=5200-1400=3800

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

6 0
3 years ago
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