S² - 16s - 57 = s² - 16s + 64 - 121 = s² - 2*1*8 + 8² - (11)² =
<span>we use the formula a</span>² - 2ab + b² = (a-b)²
(s - 8)² - (11)²
<span>we use the formula a</span>² - b² = (a+b)*(a-b)
(s - 8 )² - (11)²
a² - b²
[ (S - 8) - 11] * [ (S-8) + 11] = [S-19] * [S+3]
The value of “k” that will give two real roots is 25/48
Given the equation (1 – 3k) x^2 + 3x – 4, for the equation to have two real roots, this means that b^2 - 4ac > 0
From the given expression
a = 1 - 3k
b = 3
c = -4
Substitute into the equation b^2 - 4ac = 0
3^2 - 4(1 - 3k)(-4) = 0
9 + 16 (1-3k) = 0
9 + 16 - 48k =0
25 = 48k
k = 25/48
Hence the value of “k” that will give two real roots is 25/48
Learn more here: brainly.com/question/564715
Answer:
0.008 meters
Step-by-step explanation:
Answer:
<u>y = 1/2x - 4</u>
Step-by-step explanation:
<u>Given</u> :
- line parallel to y = 1/2x - 2
- passes through (4, -2)
<u>Solving</u>
- slope will be 1/2 as it is parallel
- Using point slope equation and substituting slope and point through which line passes, we can find the new equation
- y + 2 = 1/2 (x - 4)
- y + 2 = 1/2x - 2
- <u>y = 1/2x - 4</u>
Answer:
The Answer is: x = 29
Step-by-step explanation:
Put all of the angles equal to 360 degrees:
(5x - 8) + (3x + 4) + 89 + 51 = 360
Collect like terms and solve for x:
5x + 3x - 8 + 4 + 89 + 51 = 360
8x - 4 + 140 = 360
8x + 136 = 360
8x = 224
x = 224/8 = 28
*** Corrected 12/272019 *** Thanks to the Moderator!