Answer:
k = 9/8
Step-by-step explanation:
For a root with multiplicity 2, the discriminant must be zero. For quadratic ax^2 +bx +c, the discriminant is ...
d = b^2 -4ac
For your quadratic, a=2, b=3, c=k, so you want ...
3^2 -4(2)(k) = 0
9 -8k = 0
k = 9/8
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:
x = 9
Step-by-step explanation:
For the lines to be parallel, then
9x + 8 and 15x - 46 are alternate angles and congruent, thus
15x - 46 = 9x + 8 ( subtract 9x from both sides )
6x - 46 = 8 ( add 46 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9
Answer:
-7
Step-by-step explanation:
Given the expression: y = mx + c
Where m = slope
c = intercept
Therefore, from the given question: y = -7x. The slope m = -7
Answer:
Step-by-step explanation:
To find the distance between two points in there dimensional coordinate system, we use the formula;
The magnitude for w(6 ,-3 , 6) and x(6, 3, 4)
The correct choice is A.
