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Digiron [165]
3 years ago
9

How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side lengt

h of 9 meters?
Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

12 meters

Step-by-step explanation:

Area of square = 144 Sq m

side \: of \: square =  \sqrt{144}  \\side \: of \: square    = 12 \: m \\  \\ perimeter \: of \: square \:   \\ = 4 \times 12  \\ = 48 \: m \\  \\ perimeter \: of \: square \: with \:  \\ side \: 9 \: m \\  = 4 \times 9 \\  = 36 \: m \\  \\ diference \: in \: perimeters \\  = 48 - 36 = 12 \: m

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The equation of line h is y = -2x + 1. If line h is dilated with a scale factor of 4 with respect to the origin, what is the equ
amm1812

Answer:

  • y = -2x + 4

Step-by-step explanation:

<u>Given line h:</u>

  • y = -2x + 1

Dilated line is parallel to original, so will have same slope of -2

<u>y-intercept will change by a scale factor of 4: </u>

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<u>So the equation of the new line is:</u>

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3 years ago
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3 years ago
What is the standard form of the points (-3,4) (2,-6)
Bas_tet [7]

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

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Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90

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