Writing the slope-intercept form of a linear equation, we have:
Where m is the slope and b is the y-intercept.
Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.
Now, using the point (0, -4), we have:
So our equation is:
y = 2/3x - 4
Factor 36x^3 = (2)(2)(3)(3)(x)(x)(x)
Factor 8x = (2)(2)(2)(x)
Take what they have in common which is (2)(2)(x) and multiply and it will be 4x.
Answer:
A). 15
B). -1.2
Step-by-step explanation:
A). [10(x+3)]-20 = 160
10x+30-20 = 160
10x+10 = 160
10x = 160-10
10x = 150
x = 150/10
x = 15
B). 5{[4(8+(5x))]-9} = 85
5(32+20x+9) = 85
5(32+9+20x) = 85
5(41+20x) = 85
205+100x = 85
100x = 85-205
100x = -120
100x/100 = -120/100
x = -1.2
----------------------------------------------------------------------
HOPE THIS HELPS!!!
Answer:
50.24 square yards
Step-by-step explanation:
area = 3.14 × 4²
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
