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:
-74 10/5
Step-by-step explanation:
first you will write the decimal number in fraction form which will be,
-74.5 = -745/10
now, on diving we will get,
74 as quotient and 5 as remainder, 10 as divisor.
now mixed fraction is, quotient divisor/remainder
the answer will be -74 10/5
•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.
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<em>Hope </em><em>my </em><em>answer </em><em>helps.</em>
Answer:
933
Step-by-step explanation:
female : male
x : 1000
x : 4000
1000 x 4 = 4000
3732 : 4000
3732 ÷ 4 = 933
The correct answer is A.) f(x)=
x+1
This is because using slope intercept form (y=mx+b), we can solve.
m = slope
b= y-intercept
If you look at the graph, you can see the line crosses they y-axis at 1.
And if you follow the line using rise over run, you find that it is 1/3.
But because it is a negative line, it makes the slope negative.
Hope this helps!
x³ + y + z³
= 12³ + 8 + 3³
= 1728 + 8 + 27
= 1763
