Use a geometric model to factor x2 - 9 by following these steps:

The floor of Cara's living room is 10 feet by 14 feet. What is the area, in square feet, of the largest circular rug that can fi

Rus_ich [418]

Answer:

$78.5\ ft^{2}$

Step-by-step explanation:

we know that

If the floor of Cara's living room is 10 feet by 14 feet

then

the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet

<em>Find the area of the circular rug</em>

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi=3.14$

substitute the values

$A=(3.14)(5)^{2}=78.5\ ft^{2}$

3 0

3 years ago

What is (-3, 4) translated by (x,y) → (x – 6, y – 5).

AlekseyPX

Answer:

(-9,-1)

Step-by-step explanation:

You plug in the x and y values and solve the algebraic expression.

8 0

3 years ago

Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?

Mnenie [13.5K]

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Equation
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y = -3x - 9

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Option 1
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If I substitute x = -9, I should get y = 0

When x = -9
y = -3 (-9) - 9
= 18 (I did not get 0, wrong)

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Option 2
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If I substitute x = -3, I should get y = 0
y = -3(-3) - 9
y = 9 - 9
y = 0 (Yes, I got 0, correct)

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Option 3
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If I substitute x = 0, I should get y = -3
y = -3 (0) - 9
y = 0 - 9
y = -9 (I did not get -3, wrong)

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Option 4
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -9
y = -3 (0) - 9
y = 0 - 9
y = -9 (Yes, I got -9, correct)

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Answer: (-3, 0) and (0, 9) are ordered pairs of the equation (Answer B, D)
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7 0

3 years ago

Find the sequence of -1, 1, __, 5, __

marin [14]

The missing numbers are 3, and 7
the pattern is +2 to each number

7 0

2 years ago

write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that ha

Katena32 [7]

Answer:

b= 2x c=14x

Step-by-step explanation:

3 0

2 years ago