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Molodets [167]
2 years ago
5

WORTH 100 POINTS WORTH 100 POINTS WORTH 100 POINTS WORTH 100 POINTS HELPPPPP

Mathematics
2 answers:
LenKa [72]2 years ago
7 0

Answer:

  • x - 4y = 22

Step-by-step explanation:

<u>Given line:</u>

  • x - 4y = 20

<u>Convert the equation into slope-intercept form:</u>

  • x - 4y = 20
  • 4y = x - 20
  • y = 1/4x - 5

It has a slope of 1/4.

Parallel lines have equal slopes.

<u>Find the parallel line lines that passes through the point (2, - 5):</u>

  • y = 1/4x + b

<u>Substitute x and y values to work out the value of b:</u>

  • - 5 = 1/4*2 + b
  • - 5 = 1/2 + b
  • b = - 5 - 1/2
  • b = - 11/2

<u>The line is:</u>

  • y = 1/4x - 11/2

<u>Covert this into standard form:</u>

  • y = 1/4x - 11/2
  • 4y = x - 22
  • x - 4y = 22

kherson [118]2 years ago
5 0
  • x-4y=20

Isolate y

\\ \sf\longmapsto x-20=4y

\\ \sf\longmapsto y=\dfrac{1}{4}x-5

  • m=1/4
  • Parallel lines have equal slope

Equation of line in point slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y+5=1/4(x-2)

\\ \sf\longmapsto 4y+20=x-2

\\ \sf\longmapsto x-4y+22=0

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<h3>Answer:   choice F) 12 & 1/2 square yards.</h3>

=====================================================

We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

3 & 1/3 = 10/3

--------------------

In short we have

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Doing these conversions is useful to be able to multiply the values like so:

(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2

Now use your calculator to find that 25/2 = 12.5

We can then say....

12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2

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