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Norma-Jean [14]
3 years ago
5

If a and b are positive constants and if a(x-y) = b(y-x), what is the value of the ratio of x/y?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer: x/y=1

Step-by-step explanation:

a(x-y)=b(y-x)

(a+b)x=(a+b)y

x/y=1 ans

hope this helps

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Answer:

A or \frac{1}{2}x +2

Step-by-step explanation:

Remember y=mx+b | m = slope & b = y intercept

Think back of rise over run. Where the rise is 1 and 2 is run. Now Also, lets not forget the y intercept which you can easily obtain by looking where the line intercepts the y axis. Which in this case it would be 2.

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11

Step-by-step explanation:

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Is 7.787887888... a rational number?
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A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is 15 ft by 25 ft and the
AlladinOne [14]

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Dimensions of the room is given by

15 ft by 25 ft

Let x be the width around the rug.

So, new length = 15-2x

new breadth = 25-2x

Since Area of the rug = 264 sq. ft

So, it becomes,

\text{Area of rug}=Length\times breadth\\\\264=(15-2x)(25-2x)\\\\264=375-30x-50x+4x^2\\\\264=375-80x+4x^2\\\\4x^2-80x+375-264=0\\\\4x^2-80x+111=0\\\\x=\dfrac{3}{2}\ or\ x=\dfrac{37}{2}\\\\x=1.5\ ft

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4 0
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What is (-4, 6) and (0, 7) in slope intercept form? :) thank you
gavmur [86]

Answer:

y = 1/4x + 7

Step-by-step explanation:

(-4, 6) and (0, 7)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(7 - 6) / (0 - (-4))

Simplify the parentheses.

= (1) / (0 + 4)

= (1) / (4)

Simplify the fraction.

= 1/4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.

7 = 1/4(0) + b

To find b, multiply the slope and the input of x(0)

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Now, isolate b.

7 = b

Plug this into your standard equation.

y = 1/4x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, 6).

y = 1/4x + 7

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6 = -1 + 7

6 = 6

Your equation is correct.

Hope this helps!

6 0
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