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Kryger [21]
2 years ago
14

Select the correct answer.

Mathematics
1 answer:
Sonbull [250]2 years ago
4 0

Answer:

B.

The graph is stretched vertically and shifted to the left 1 unit.

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
3 years ago
Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the
GalinKa [24]
Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).
3 0
3 years ago
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Vikentia [17]

Answer:

$16

Step-by-step explanation:

0.75x = 12\\3x = 48\\x = 16

8 0
3 years ago
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How do you calculate GPA?
Olegator [25]

Answer:

Here it is:

Step-by-step explanation:

Your grade point average (GPA) is calculated by dividing the total amount of grade points earned by the total amount of credit hours attempted. Your grade point average may range from 0.0 to a 4.0. To get the example student's GPA, the total grade points are divided by the total credit hours attempted.

8 0
3 years ago
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Please help!! I need the answer to the question in the picture!!!!
zloy xaker [14]

Answer:

\large\boxed{D.\ x=-2(y+3)^2-1}

Step-by-step explanation:

The equation of a horizontal parabola in the standard form:

x=a(y-k)^2+h

(h, k) - vertex

if a > 0, then open right

if a < 0, then open left

We have the vertrex (-1, -3) and the parabola is open left (a < 0).

Therefore the equation of a given parabola could be:

x=-2(y-(-3))^2+(-1)=-2(y+3)^2-1

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