Answer:
x = -1/2 ( 3±sqrt(37))
Step-by-step explanation:
x^2 + 3x − 7 = 0
Add 7 to each side
x^2 + 3x =7
Using complete the square
Taking the coefficient of x
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add this to each side
x^2 + 3x+ 9/4 = 7+9/4
( x+ 3/2) ^2 = 28/4 + 9/4
( x+ 3/2) ^2 = 37/4
Take the square root of each side
x+3/2 = ±sqrt(37/4)
x+3/2 = ±sqrt(37) / sqrt(4)
x+ 3/2 = ±sqrt(37) / 2
Subtract 3/2 from each side
x = -3/2 ±sqrt(37) / 2
x = -1/2 ( 3±sqrt(37))
Answer:
width = 8
Step-by-step explanation:
to find the width of a rectangle you need to to the equation w= A ÷ l. when you put in the numbers you gets w = 96 ÷ 12.
96 ÷ 12 = 8 so w = 8
The triangle <span>pyramid</span> is made up of 4 triangles.
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Formula:
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Area of triangle = 1/2 x base x height
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Area of the bottom triangle:
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Area = 1/2 x 9 x 7.8
Area = 35.1 yd²
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Area of the 3 side triangles:
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Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²
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Total Area:
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Total Area = 135 + 35.1
Total Area = 170.1 yd²
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Answer: Surface Area = 170.1 yd².
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Answer:
Step-by-step explanation:
x has to be equal to or less than a -5 to get (4 + x) to be a negative number.
x has to be equal to or greater than -10 for (11 + x) to be a positive number.
Therefore, any number between -10 and -5 will work.
Answer: 1
Step-by-step explanation:
