We have x^2 + 2 · x · (11/2) + (11/2)^2 = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
Answer:
5/6
Step-by-step explanation:
The numbers on a six-sided die are as shown:
1, 2, 3, 4, 5, 6
The even numbers are:
2, 4, 6
The numbers greater than 3 are:
3, 4, 5, 6
Both lists together are:
2, 3, 4, 5, 6
Because 5 out of 6 numbers satisfy these conditions, the probability of satisfying these conditions is 5/6.
Answer:
24
Step-by-step explanation:
Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:
Length x Width
Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.
x X x=x2
X2=324
x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.
x2= 324 —> square root of 324=x
To find x, you have find the square root of 324.
Square root of 324 is 8
The length of one side is 18 inches
Check:
The formula for finding area is:
Length x Width
The length and width gotten was 18. Put that into the formula:
18 x 18
Multiply:
18 x 18= 324
That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)
You multiply 76 by 0.93. That is 70.68 which rounds to 71. To check, (71/76) = ~93.