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Mathematics

2 answers:

taurus [48]3 years ago

3 0

9 and 7 are the numerators. The greatest common factor between 3 and 7 is 21. Whatever u multiply the bottom by u have to multiply the top by as well

mr_godi [17]3 years ago

3 0

Answer:

9 and 7

Step-by-step explanation:

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At a country concert, the ratio of the number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how

zvonat [6]

Boys : Girls = 2:7
let the no. of boys be x
so no of girls = 250+x
so, x:(250+x) = 2:7
x/(250+x) = 2/7
7x = 500+2x
7x-2x = 500
x = 500/5 =100

8 0

3 years ago

A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The cente

Ierofanga [76]

<h3>Answer: y = (-1/2)x + 2</h3>

This is the same as y = -0.5x+2

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Explanation:

Refer to the diagram below.

The blue line is the graph of y = 2x+8, which is the left bank of the river.

For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.

The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.

Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.

So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.

This is the same as y = -0.5x + 2 since -1/2 = -0.5