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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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Neporo4naja [7]
You should choose c because parallel lines have the same slope
7 0
3 years ago
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amm1812

Answer:

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Step-by-step explanation:

Acceleration is second derivative of distance and are related as:

a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\

Integrating both sides w.r.to t

v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\

Using initial value

v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}

We have to calculate the distance covered in time interval [0,5], so:

\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft

3 0
3 years ago
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svet-max [94.6K]
Arrange the data set in ascending order:
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minimum                 4                  10
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IQR                         9.5                  3.5

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3 years ago
A family spent $95 at the fair.
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Answer:

95 symbol 35 symbol 49 symbol p

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4 0
3 years ago
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Answer:

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This means the equation is x+3<12, so then you subtract 3 from both sides and end up with x<9

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