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3 years ago

A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer: a = 6

Step-by-step explanation:

The slope of the line is -1/2 so if y = -4, x = 6. In your case, x is a.

Hope this helps!

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DanielleElmas [232]

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Step-by-step explanation:

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FromTheMoon [43]

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A square has a side that measures 55 units. What is the area of a circle with a circumference that equals the perimeter of the s

Taya2010 [7]

<h3><u>Given</u>:-</h3>

$\rightarrow$ Side of square = 5.5 units.

$\rightarrow$ Circumference of circle = perimeter of square.

$\rightarrow$ Area of circle.

<h3><u>Solution</u>:-</h3>

$\rightarrow$ To find the area of circle firstly we have to find the perimeter of the square, then we will find the radius of circle and after that area of circle. So, let's begin:

$\rightarrow$ Perimeter of square = $\sf{4×side}$ (putting the value of side from the above given)

$\rightarrow$ $\sf{=\: 4 × 5.5}$

$\rightarrow$ $\sf{=\: 22units.}$

Therefore, perimeter of square = 22units.

Now, according to the question, perimeter of square = circumference of the circle. So, circumference of circle = 22units.

Now, using the formula of circumference of circle we can find the radius.

$\rightarrow$ Circumference of circle = $\sf{2πr}$ (putting the value of perimeter)

$\rightarrow$ $\sf{22\:=\: 2×3.14×r}$

$\rightarrow$ $\sf{22\:=\: 6.28×r}$

$\rightarrow$ $\sf{\frac{22}{6.28}\:=\: r}$

$\rightarrow$ $\sf{3.50units\:=\: r}$

Therefore, radius of circle = 3.50units.

Now, let's find area of the circle:

$\rightarrow$ Area of circle = $\sf{πr^2}$

$\rightarrow$ $\sf{πr^2}$ (putting the value of pie(π) and radius(r))

$\rightarrow$ $\sf{3.14×3.50^2}$

$\rightarrow$ $\sf{3.14×12.25}$

$\rightarrow$ $\sf{38.46unit^2}$

Therefore, area of circle = $\sf{38.46unit^2}$

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2 years ago

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gregori [183]

Answer:

vertical stretch

Step-by-step explanation:

won't shrink because your dividing by 6.

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expeople1 [14]

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