Answer:
Step-by-step explanation:
x³+23x²+162x+360=0
x³+12x²+11x²+132x+30x+360=0
x²(x+12)+11x(x+12)+30(x+12)=0
(x+12)(x²+11x+30)=0
(x+12)[x²+6x+5x+30]=0
(x+12)[x(x+6)+5(x+6)]=0
(x+12)(x+6)(x+5)=0
x=-12,-6,-5
13/23% = 1300/23 (56.52)
<em>Therefore, 13 is 29% of 1300/23 (56.52)</em>
Step-by-step explanation:
point-slope form is
y - y1 = a(x - x1)
with a being the slope, and (x1,y1) being a point on the line.
the general form is
y = ax + b
a is again the slope. and b is the y-intercept (the y value when x = 0).
the slope is the ratio "y coordinate change / x coordinate change".
so, we need to find the slope of the original line :
x - 7y - 9 = 0
x - 9 = 7y
y = 1/7 x - 9/7
so, the original slope is 1/7.
the perpendicular slope turns the original slope upside-down and flips the sign.
so, it is
-7/1 = -7
the point slope form is
y - -4 = -7(x - 6)
y + 4 = -7(x - 6)
for the standard form we only need to do the multiplications and transform the equation into the above form :
y + 4 = -7(x - 6)
y + 4 = -7x + 42
y = -7x + 38
X= 2.5 that is the correct answer
Distribute -10
-10n - 50 = 40
Add 50 to both sides
-50 + 50 would cancel
- 50 + 40 = -10
Divide by -10
-10/-10 = 1
N=1
