X² + x - 20 = 0
x² = x * x
x = the sum of the factors of -20
-20 ⇒ 1 x 20
2 x 10
- 4 x 5 ⇒ only these factors can arrive to a sum of 1
(x - 4)(x + 5) = x(x+5) - 4(x+5) = x² + 5x - 4x - 20 = x² + x - 20
x - 4 = 0
x = 4
x + 5 = 0
x = -5
19 - (-39) = 19 + 39 = 58
<span>length of a line segment is 58 units.</span>
Answer:
It's the same equation
Step-by-step explanation:
12x+18y=24
y=(-12x+24)/18
y=-2/3x+4/3
The intersect is the solution, so there are infinitely many solutions
(2,-1)(5,-10)
slope = (-10 - (-1) / (5 - 2) = -9/3 = -3
y = mx + b
slope(m) = -3
use either of ur points....(2,-1)...x = 2 and y = -1
now we sub and find b, the y int
-1 = -3(2) + b
-1 = -6 + b
-1 + 6 = b
5 = b
so ur equation is : y = -3x + 5 <==
It is pretty long, hope you understand
x+y+z=6
+
2x-y+z=3
-------------
3x+2z=9
->3x=9-2z (1)
3x-z=0
3x=z (2)
From (1)+(2)-> z=9-2z
solve for z
-3z=9
z=-3 (3)
plug (3) in (2)
->3x=-3
->x=-1 (4)
Plug (3) and (4) in <span>x+y+z=6
</span>-3+y+(-3)=6
solve for y
y-6=6
->y=12
Answer:
x=-1
y=12
z=-3
