The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.
The correct option is D.
<h3>What is a quadratic equation ?</h3>
A quadratic equation is an algebraic equation of the second degree in x.. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
<h3>
According to the given information:</h3>
Total area = 7 square feet
and,
Total area = Length x Width
So,
7 = (2x + 3)(2x + 2)
7 = 4x2 + 4x + 6x + 6
7 = 4x2 + 10x + 6
4x2 + 10x + 6 - 7 = 0
4x2 + 10x - 1 = 0
Hence,
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.
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I understand that the question you are looking for is:
Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. Which quadratic equation can be used to determine the thickness of the frame, x?
A. x² + 14x - 2 = 0
B. 2x² + 10x - 7 = 0
C. 3x² + 12x - 7 = 0
D. 4x² + 10x - 1 = 0
Answer: 1350 ft^2
Step-by-step explanation:
The total square footage of the home will be equal to the sum of the areas of each floor.
We know that the ground floor is 25 ft by 30ft, which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.
We know that te area of a rectangle of width W and length L is:
A = L*W
then the area of the ground floor is:
A = 25ft*30ft = 750 ft^2
And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:
A = 20ft*30ft = 600ft^2
Then the total square footage of the home is:
SF = 750ft^2 + 600ft^2 = 1350 ft^2
its definitely -2.5........
Answer:
6 2/3 minutes
Step-by-step explanation:
Amare runs 1/10 mile in 2/3 minutes
Therefore his speed in miles per minutes clean be calculated as follows
= 1/10, the denominator here is 10
= 10 × 2/3
= 20/3
= 6 2/3 minutes
Answer:
B
Step-by-step explanation:
the incenter is found by constructing angle bisectors and then intersecting the three angle bisectors.