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Vikki [24]
3 years ago
14

Convert the slope-intercept equation below in to standard form. * Y= -9/4x -18

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

9/4x + y = -18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope-Intercept Form:   y = -9/4x - 18

<u>Step 2: Rewrite</u>

  1. Add 9/4x on both sides:                    9/4x + y = -18

<u>Step 3: Identify</u>

Standard Form:   9/4x + y = -18

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A line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment​
musickatia [10]

Answer:

(1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

Step-by-step explanation:

Moving from P to Q, we see that x increases by 6  and y increases by 3.

"Trisect" means "divide into three equal subintervals."

We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).  

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3 years ago
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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the
kolbaska11 [484]

Answer:

Volume of cylinder = \pi r^2h

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = \pi r^2

Area of square = s^2

Side of square = diameter of circle= D^2

Diameter = 2r

∴ Area of square=  2r^2=4r^2

\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}

Area of circle is \frac{\pi }{4}  of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = 4r^2h

Volume of cylinder = Area of circle × h = \pi r^2h

Now, rate

\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}

⇒Volume of cylinder is  \frac{\pi }{4}  of Volume of prism.

Volume of Cylinder =\frac{\pi }{4}\times Volume of prism

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6 0
3 years ago
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Let us assume the gas bill of Paul in February = x dollars
Then
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