Answer:
k=2
Problem:
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..
Step-by-step explanation:
Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.
So we want the following:
[(k+2)/2]^2=2k
Apply the power on the left:
(k+2)^2/4=2k
Multiply both sides by 4:
(k+2)^2=8k
Expand left side:
k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2
Subtract 8k on both sides:
k^2-4k+4=0
Factor using the identity mentioned a couple lines above:
(k-2)^2=0
Since zero squared is zero, we want k-2=0.
Adding both sides by 2 gives k=2.
Answer:
43100 cubic feet
Step-by-step explanation:
Floor 1: 3700 * 8 = 29600
Floor 2: 50 * 30 * 9 = 13600
Total = 29600+13600=43100
Answer:
Step-by-step explanation:
<u>The angles are corresponding angles and they are equal by definition</u>
- 120 = x + 123
- x = 120 - 123
- x = 3
which are the statements, dude we can see the options,
Answer:
Step-by-step explanation:
In isosceles trapezoid JKLM,
Given: 
and 
Since, JKLM is an isosceles trapezoid so each pair of base angles is congruent.
As, we know that the sum of the angle of a trapezoid is 
The angles are:
Therefore,
Combine like terms;
Subtract 40 from both sides we get;
Simplify:
Divide both sides by 56 we get;
To find the angle of 
:
Simplify:
Therefore, the value of angle of
