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Sati [7]
3 years ago
15

Mathematics challenge

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Get the equation of the line containing PQ using the point-slope formula:

<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))

Solve for <em>y</em> to get it in slope-intercept form:

<em>y</em> = 3/2 <em>x</em> + 7

so the <em>y</em>-intercept is (0, 7).

The line containing QR is then

<em>y</em> - 7 = -3/4 (<em>x</em> - 0)

or

<em>y</em> = -3/4 <em>x</em> + 7

The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:

0 = -3/4 <em>x</em> + 7

3/4 <em>x</em> = 7

<em>x</em> = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

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\boxed{D. \: 40\degree}

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So,

=  > 2y \degree + (y + 10)\degree + 50\degree = 180\degree \\  \\  =  > 2y\degree + y\degree + 10\degree + 50\degree = 180\degree \\  \\  =  > 3y\degree + 60\degree = 180\degree \\  \\  =  > 3y\degree = 180\degree - 60\degree \\  \\  =  > 3y\degree = 120\degree \\  \\  =  > y =  \frac{120\degree}{3\degree}  \\  \\  =  > y = 40\degree

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What single decimal multiplier would you use to increase by 18% followed by a<br> 12% decrease?
ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18    

Step 2: For percentage increases: add the decimal to 1

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Step 3: Multiply the number x by the multiplier, found in Step 2

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<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>

Apply the same method but with a number 1.18x

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  • Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

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