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Gnom [1K]
2 years ago
9

annalise makes rectangular patchworks quilts out of leftover fabric scraps. the first scrap she is using to make a quilt has a w

idth of 2x feet and a length of 5x feet. when finished, the entire quilt will be 5 feet wider and 3 feet longer than the first scrap used. which of the following functions will give the area, f(x), of the quilt in square feet ?
Mathematics
1 answer:
tester [92]2 years ago
6 0

The area is given by f(x) = 10x² + 31x + 15.

The function is a rectangle's area function.

Rectangle Area = Length * Width

The length of fabric scrap is 5x. So, the rectangular patchwork's length will be 5x + 3.

Since the width of the fabric scrap will be 2x, the rectangular patchwork's width will be 2x + 5.

Then area = f(x) = (5x + 3)(2x + 5) = 10x² + 25x + 6x + 15 = 10x² + 31x + 15

Therefore the area is given by f(x) = 10x² + 31x + 15.

Learn more about the area here -

brainly.com/question/13293720

#SPJ10

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Lelechka [254]

Answer:

80/10 is greater!

Step-by-step explanation:

well 80/10 = 8 while 8/10 = .8

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3 years ago
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OLga [1]

Answer:

First statement: Angles 1 and 3 are vertical angles.

First reason: Definition of supplementary

Second Reason: Vertical angles are congruent

Third Reason: Vertical Angles Theorem

Step-by-step explanation:

Hope this helps: Angles that form an X- Type figure are congruent.

6 0
2 years ago
A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
Help please! I’m giving brainliest to however gets this question right.
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