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algol [13]
2 years ago
9

Y – 11 = 3(x – 2) in standard form

Mathematics
1 answer:
emmainna [20.7K]2 years ago
4 0

Answer:

3x + y = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property
  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

[PS]   y - 11 = 3(x - 2)

<u>Step 2: Rewrite</u>

<em>Find Standard Form</em>

  1. Distribute 3:                                  y - 11 = 3x - 6
  2. Subtract 3x on both sides:          -3x - y - 11 = -6
  3. Add 11 to both sides:                    -3x - y = 5
  4. Factor -1:                                       -1(3x + y) = 5
  5. Divide -1 on both sides:                3x + y = -5
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It appears as if 12cm is half the length of the side so we can assume that the total length of one side is 24cm.


The area of a square is given by the equation A=s^{2} where s is the length of the side.  

A=24^{2}

A=576


The area of this square is 576cm2.


Hope this helps!

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3 years ago
The surface area of the pyramid with square base that measures 8 ft by 8 ft and slant height of 12 ft is 256 ft^2.
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The square below represents one whole.
grandymaker [24]

Answer:

Fraction: 81/100

Decimal: 0.81

Percentage: 81%

Step-by-step explanation:

The question is complete but the diagram mentioned can be found in

brainly.com/question/12188410

First step is to find the area of the whole square and then the area of the part that was shaded.

From the diagram, there are 100 squares in the whole square. 81 of those squares are shaded.

Area of the whole square = 10 by 10

= 10×10 = 100unit²

Area of shaded region = (10 by 8) + 1

= 80+1 = 81unit²

shaded area expressed as a fraction = 81unit²/100unit²

= 81/100

Shaded area expressed as a decimal = 81/100

You take the number 81 and carry the point by two decimal place from the right

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Nikitich [7]

Answer:

y= -a*x + 12

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>b</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>b</u>

Step-by-step explanation:

ax+by=12 (subtract "ax" from both sides so that the one on the left will become zero and we will have "by" )

by= -ax+12(divide both side by "by" so that we will have the equation as "y=mx+b")

finally the result will be:

y= -a*x + 12

b b

7 0
2 years ago
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