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Snowcat [4.5K]
2 years ago
14

A) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the funct

ion y= -1.5x. The functions are expressed by the formulas.
y = -1.5x + 6, y = 0.5x-6

I WILL AWARD 75 POINTS !

B) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the function y= -1.5x. The functions are expressed by the formulas.


y = 0.5x+4, y = 0.5x, y = 3+1.5x

Please answer somebody. Someone help
Mathematics
1 answer:
Sonbull [250]2 years ago
3 0

We want to find parallel lines to the given lines, such that also meet some given restrictions.

The solutions are:

A) y = 0.5*x - 6

B) two solutions:

    y = 0.5*x + 4

    y = 0.5*x

Before start answering, a general line is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

Another line will be parallel this if and only if it has the same slope and a different y-intercept.

A) We want to find a line that is parallel to y = 0.5*x + 10 and that intersects y = -1.5*x

So we want another line with a slope of 0.5, then the correct option is:

y = 0.5*x - 6

How do we know that this intercepts the other line?

Because if two lines have different slopes, then the lines are not parallel, meaning that at some given point the lines intercept.

B) Similarly, now we want a line parallel to:

y = 0.5*x + 10

And that intersects:

y = -1.5*x

The correct options are the ones with slope equal to 0.5, then we have two correct options:

y = 0.5*x + 4

y = 0.5*x

If you want to learn more, you can read:

brainly.com/question/16701300

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Camilias as backyard is in the shape of a rectangle and has a length of 16.5 feet. It costs her $976 to fence in the yard. If fe
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Step-by-step explanation:

To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:

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We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:

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3 years ago
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3 years ago
(12x - 30) = (2x - 5)​
zzz [600]

Answer:

x = 5/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

12x - 30 = 2x - 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 2x on both sides:                    10x - 30 = -5
  2. Add 30 to both sides:                            10x = 25
  3. Divide 10 on both sides:                        x = 5/2
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2 years ago
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