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maxonik [38]
3 years ago
6

A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she i

s walking down, taking the same time per step, then she counts 90 steps. How many steps would she have to take in either direction, if the escalator were standing still?
Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0
75. As she is going up, 15 stairs have been passed by the escalator moving. When she goes down same thing
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Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.
murzikaleks [220]

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

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3 years ago
Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
spin [16.1K]
The other endpoint is (1, -17).

The midpoint formula is:

m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Using our midpoint and endpoint, we have:
(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}


For the first equation (to find the x-coordinate) we will multiply both sides by 2:
6\times2=\frac{11+x_2}{2}\times 2
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\\12=11+x_2

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
-11\times2=\frac{-5+y_2}{2}\times 2
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\\-22=-5+y_2

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).
4 0
3 years ago
Express as a sum: m-n​
vesna_86 [32]

Answer:

-n+m

Step-by-step explanation:

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Answer:

(2.5, -1)

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Step-by-step explanation:

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A line that includes the point (2,10) has a slope of 9. What is its equation in slope-intercept form
Bumek [7]

Equation: y= 9x+ (y-intercept)

Step-by-step explanation:

equation in slope-intercept form is y=mx+b. <em>m</em> represents the slope of the line, and <em>b</em> represents the y=intercept, which is where the line crosses the y-axis.

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