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WINSTONCH [101]
3 years ago
15

A rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. the

width of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border? A. 0.5ft B. 1.5 ft C. 2.5 ft D. 3.5 ft

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

Answer:

The answer is the option A

0.5\ ft

Step-by-step explanation:

Let

x-------> the width of the border

we know that

The total area of the window plus the border is equal to

A=2*4+7=15\ ft^{2}

(2+2x)(4+2x)=15\\2*4+2*2x+2x*4+2x*2x=15\\8+4x+8x+4x^{2}=15\\4 x^{2}+12x-7=0

Using a graphing tool -----> to resolve the quadratic equation

see the attached figure

The solution is

x=0.5\ ft

Anuta_ua [19.1K]3 years ago
3 0
S=2(4x+2x)+4x^2=
=4x^2+12x

4x^2+12x=7
4x^2+12x-7=0
D=12^2-4×4×(-7)=256
x1=(-12-16)/(2×4)=-3,5 (impossible)
x2=(-12+16)/(2×4)=0,5

A
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2 years ago
Estimate 23,945 + 46,718 by rounding to the highest place value.
kolbaska11 [484]
The highest place value is in the ten thousand for both of these numbers. Let's round the two numbers first, and then we will add them. Let's round 23,945. So, we need to round to the ten thousand place, so we look at the number behind it (3) and act accordingly.
Remember:
5 or more? Raise the Score
4 or less? Let it Rest
We are looking at the bolded number: 23,945. This number is 4 or less, so we let it rest. So, the new rounded number is 20,000. 
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4 0
4 years ago
How many solutions exist for the given equation?
NemiM [27]

Answer:

Zero

Step-by-step explanation:

Simplifying

12x + 1 = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(1 + 4x) + -2

1 + 12x = (1 * 3 + 4x * 3) + -2

1 + 12x = (3 + 12x) + -2

Reorder the terms:

1 + 12x = 3 + -2 + 12x

Combine like terms: 3 + -2 = 1

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Add '-1' to each side of the equation.

1 + -1 + 12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

0 + 12x = 1 + -1 + 12x

12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

12x = 0 + 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

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5 0
2 years ago
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RSB [31]

Answer:

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Step-by-step explanation:

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$300 per year plus $4 per day for an exercise class.  $0 for swimming


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So.... if he goes to the gym at least 22 days he will save money with the membership.

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