Answer:
(x + 7)(x - 7)
Step-by-step explanation:
We need to factor [ x² - 49 ]
The middle number is 0 and the last number is -49.
Factoring is when we fill in the blanks for [ (x + _)(x + _) ]
We need to know what goes in the blanks, we need to know:
- two numbers that add to get 0
- two number that multiplied together get -49
We can try 7 and -7.
7 + (-7) = 0
7 * (-7) = -49
This works, so fill in the blanks for the factor.
(x + 7)(x + (-7))
(x + 7)(x - 7)
Best of Luck!
Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Answer:
A. The graph of the function increases and decreases over its domain.
Step-by-step explanation:
The graph is attached. Some places, it has positive slope (is increasing); other places it has negative slope (is decreasing).
In order to find an average, you have to add all the numbers and divide by the number of things you added.
120.37 + 108.45 + 114.86 = 343.68
343.68/3 = 114.56
She spent an average of $114.56 each month on groceries.
