15 the answer is 15 because 15 x 5 = 75
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
The answer is 5/24
I hope that helped!^o^
Answer:
We have - 18 / - 27 = 2 / 3;
- 12 / - 18 = 2 / 3;
-8 / - 12 = 2 / 3;
Then, x / - 8 = 2 / 3 ;
Finally, x = - 16 / 3;
The next terms in that series is - 16 / 3 .
Step-by-step explanation:
Answer:
Step-by-step explanation:The formula is the long root of (x2-x1)² + (y2-y1)², you have -1 to be the value of x2 and -4 is the value of x1 while 4 is the value of y2 and -8 is the value of y1 therefore (-1+4)²+(4+8)² = (3)²+(12)²= √9+12=√153
