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Svetach [21]
2 years ago
10

Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet

wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Image of a frame 5 feet wide by 6 feet long, with an of x on the bottom and right sides

4x2 + 22x − 1 = 0
4x2 + 22x + 31 = 0
x2 + 11x − 1 = 0
x2 + 11x + 31 = 0
Mathematics
2 answers:
seropon [69]2 years ago
6 0
Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0

answer is third one
yarga [219]2 years ago
4 0

Answer:   4x^{2} + 22x − 1 = 0


Step-by-step explanation:

Start off with the standard formula to finding area with polynomials and quadratic functions.

(2x + 5)(2x + 6)

Work out like a normal binomial.

4x^{2} + 22x + 30 - 31

(You're subtracting 31 to take out the minimum of what the frame has to be)

4x^{2} + 22x - 1 = 0

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Step-by-step explanation:

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What is the difference between factoring and solving ?
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Answer:

Factoring is a step taken towards solving a quadratic equation. ... You cannot factor them, the only way to find the roots then, is by using the quadratic formula. Suppose you factor the quadratic polynomial as and . Then set them equal to zero and solve for , you will have

Step-by-step explanation.

Example 1 – Solve: x2 + 16 = 10x

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2 years ago
a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle
Oduvanchick [21]
The last angle is 90 degrees

6 0
2 years ago
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use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4 = 1/2 (x – 1). the slope of
mihalych1998 [28]

Answer:

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Step-by-step explanation:

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Pie
Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
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Then, for the relationship of bre and tap, we have the equation,
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The measure of tap is equal to 135°. 
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