3x + 4y + 8 = 0
4y = -3x - 8
y = -3/4x - 2....slope here is -3/4. A parallel line will have the same slope.
y = mx + b
slope(m) = -3/4
y int (b) = 4
so ur equation is : y = -3/4x + 4
Here we have a system of equation like this:
from the first equation we get:
Substitute in the second equation we get:
Substitute i the first equation again we get:
We deduce that:
A is bigger than B.
The 30:60:90 proportion is 1:sqrt 3: 2
So,
x = 10/2
x = 5
y = 10/sqrt 3
Finding the area:
1/2 * 5 * 10/sqrt 3
25/sqrt 3
Hope this helps!
Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
Answer: x=0 or x= plus or minus 2
Step-by-step explanation:
g(x)=x^4-8x^2+7
Critical numbers are the numbers where the first derivative is zero
g'(x)=4x^3-16x+0
=4x^3-16x
g'(x)=0
Implies
4x^3-16x=0
4x(x^2-4)=0
4x=0 OR x^2-4=0
x=0 or x^2=4
x=0 or x= plus or minus 2
