True
False
False
True
(I think)
Answer: 24, 24, 47
<u>Step-by-step explanation:</u>
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.
a + b > c & a + c > b & b + c > a
23 + 28 = 51 which is NOT greater than 55
15 + 30 = 45 which is NOT greater than 45
8 + 17 = 25 which is NOT greater than 25
24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27
all combinations are true so these side lengths can form a triangle
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
Okay I get some of them, your first one - 1 I disagree with. So we can solve with two points by using a equation y2-y1 over x2-x1. So it's 4-8 over - 3-6 with the numerator being - 4 and the denominator being - 9. Any questions on how to solve for slope with two coordinates.
