If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is
which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.
and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).
Answer:
Option B) (-1,7,5) is correct.
The solution to the given system of equation is (-1,7,5)
Step-by-step explanation:
Given system of equations are
To find the solution of the given system of equations by using Elimination method:
Now adding equations (1) and (2)
_________________
________________
(since "-" getting cancelled)
Now adding equations (1) and (3)
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________________
Now adding equations (4) and (5)
_________________
________________
Therefore y=7
Substituting y=7 in equation (4)
Therefore x=-1
Now substituting the values x=-1 and y=7 in equation (1) we get
Therefore z=5
Therefore the solution to the given system of equation is (-1,7,5)
Therefore Option B) (-1,7,5) is correct.
There are no sharp objects around,same with bleach
To answer this you would need to first find out what 3/8 of the 5/9 would be. 3/8 would be the amount that remains after five eights were accounted for. The question says it is 5/9 of the remaining, and 3/8 of the total would be what remains. Multiply 3/8 by 5/9 to get 5/24. This represents the part that would be green. Then I added the original 5/8 for blueand 5/24 for green. The amount is 20/24, or 5/6. This represents the part that is green or blue. 1/6 would be the other color which is red. To find the total, you would solve 1/6x =48. To solve this divide 48 by 1/6. Keep change and invert your division problem. It would be 48×6. The answer is 288 total votes. You said check your work by multiplying 5/8 by 288. You get 180. 288-180=108. Multiply 5/9 by 108 to get 60. 108-60 is 48!!!
