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:
60
Step-by-step explanation:
72-12=60
Answer:
the gcm or greatest common factor is <u>3xy</u> :)
Step-by-step explanation:
Factor 18x2y3−6xy2+3x3y
18x2y3+3x3y−6xy2
=3xy(6xy2+x2−2y)
3xy(6xy2+x2−2y)
3xy
HOPE THIS HELPS
Answer:
x^2 - 5x + 4.
Step-by-step explanation:
(p - q)(x) = x^2 - 1 - (5x - 5)
= x^2 - 5x - 1 + 5
= x^2 - 5x + 4.
No, the sequence is algebraic.