Answer:
9(p + q)(9p + 9q - 1)
Step-by-step explanation:
Given
81(p + q)² - 9p - 9q ← factor out - 9 from these 2 terms
= 81(p + q)² - 9(p + q) ← factor out 9(p + q) from each term
= 9(p + q)(9(p + q) - 1)
= 9(p + q)(9p + 9q - 1)
Answer:
12/13
Step-by-step explanation:
Multiply 8 with the numerator
8 * 3/26 = 24/26
Simplify
12/13
Hope this helps :)
7.407407407407407... (it repeats the 407)
U just had to divide 400 by 54
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:
The amount of fabric she needs is 3/4 yards
Step-by-step explanation:
To calculate the amount of fabric needed, we need to subtract the sum of what she has at school and at home from what she needs.
What she has can be calculated by adding 3 1/4 + 1 1/2
This would be easier in terms of decimals.
3 1/4 = 3.25 (1/4 = 0.25)
while 1 1/2 = 1.5(1/2 = 0.5)
Adding both, we have 3.25 + 1.5 = 4.75 yards
What is needed is 5 1/2 yards = 5.5 yards
What is needed more is thus 5.5 yards - 4.75 yards = 0.75 yards
Mathematically 0.75 in decimals = 3/4 in fraction form
