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Helen [10]
3 years ago
14

In what ratio does the points (2,-5) divide the line segment A(-3,5) and B(4,-9)

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Your question has been heard loud and clear.

let the ratio be m:n

From section formula

(-3n + 4m)/(m+n) = 2

-3n + 4m = 2m+2n

5n = 2m

m/n = 5/2

m:n = 5:2

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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

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3 years ago
An athlete completes a race in 55.72 seconds. How many times greater is the digit in the tens place than the digit in the ones p
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As they are the same the answer is 1 times
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3 years ago
Plot two numbers on the numberline that are 7 units from 3<br><br> Is this correct?
dalvyx [7]

Answer:

-4 and 10

Step-by-step explanation:

It is 7 units from 3 not 3 the number itself

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3 years ago
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The product of a number y and 3 is 6
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Answer:

y=2

Step-by-step explanation:

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Can someone help me calculate angles?
ziro4ka [17]

Answer:

1.45

2. 135

Explanation:

1.  With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.

2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

8 0
3 years ago
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