Answer:
10.3cm
Step-by-step explanation:
h=A
b=131.84
12.8≈10.3cm
Answer:
k = - 2
Step-by-step explanation:
( 2x - y )²
Formula : -
( a - b )² = a² + b² - 2ab
Here,
a = 2x
b = y
( 2x - y )²
= ( 2x )² + y² - 2 ( 2x ) ( y )
= 4x² + y² - 4xy
So,
( 2x - y )² = 4x² + y² - 4xy
( 2x + y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = y
( 2x + y )²
= ( 2x )² + y² + 2 ( 2x ) ( y )
= 4x² + y² + 4xy
So,
( 2x + y )² = 4x² + y² + 4xy
( 2x - y )² - ( 2x + y )²
= 4x² + y² - 4xy - ( 4x² + y² + 4xy )
= 4x² + y² - 4xy - 4x² - y² - 4xy
= 4x² - 4x² + y² - y² - 4xy - 4xy
= 0 + 0 - 8xy
= - 8xy
( 2x - y )² - ( 2x + y )² = 4xyk
- 8xy = 4xyk
Divide 4xy on both sides,
- 8xy / 4xy = 4xyk / 4xy
- 2 = k
k = - 2
Therefore, the value of k is - 2.
Answer:
B.
Step-by-step explanation:
When written as proportions, the ratios of oranges to cups of juice are always equal.
Answer:
-3y < -2/5
Step-by-step explanation:
Multiplied means times
-3y
is less than means <
-3y < -2/5
The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.
Therefore, the polynomial can be factored as:
(x - (-2)) * ( x - (-1) ) * (x - 3) = (x + 2)(x + 1)(x - 3).
Answer: (x + 2) (x + 1) (x - 3)