Step-by-step explanation:
the distance is sqrt ( (-6)^2 + (-12)^2) = sqrt( 36 + 144) = sqrt( 180) = sqrt(36*5) = 6 * sqrt(5)
2/(2+4) = 2/6 = 1/3
-2 + (1/3)*6*sqrt(5) = -2 + 2* sqrt(5)
6 + (1/3)*6*sqrt(5) = 6 + 2* sqrt(5)
Answer:
24
Step-by-step explanation:
If you use Pascal's triangle, which I did, you will look at the 5th row of the triangle which contains the numbers 1, 4, 6, 4, 1
If we expand using a = 2x and b = -1, then the expansion looks like this:
If you simplify all that down by multiplying, you'll get
If you don't know how to use Pascal's triangle, you need to learn. It's so very cool!
The answer is 15 you would add all the numbers then divide them by the number of numbers given :3
Answer:
(d) 2x +y = 8
Step-by-step explanation:
The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:
2x +y = 5 . . . . . . given equation in standard form
The other equation in a system with no solution will look like this, but will have a different constant:
2x +y = 8 . . . . . . does not intersect the given equation
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<em>Additional comment</em>
All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:
a: 2x -(-2x+5) = 8 ⇒ 6x -5 = 8 . . . one solution: x=13/6
b: x +2(-2x+5) = 8 ⇒ -3x +10 = 8 . . . one solution: x=2/3
c: x -2(-2x+5) = 8 ⇒ 5x -10 = 8 . . . one solution: x=18/5
d: 2x +(-2x+5) = 8 ⇒ 5 = 8 . . . no solution
