Answer:
1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17
Step-by-step explanation:
y2 - y1 / x2 - x1
1. -18 - -18 / 15 - 6 = 0
2. 16 - 12 / 0 - 8 = -4/8 = -1/2
3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)
4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3
5. -36 - -12 / 4 - 8 = -24 / -4 = 6
6. - 23 - -15 / 11 - 7 = -8 / 4 = -2
7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17
Answer:
E. 300
Step-by-step explanation:
A rectangle split in half diagonally yields 2 right triangles.
((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:
(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)
))
By definition, the hypotenuse (diagonal) is the longest side.
This means that it must be longer than 120m.
If you add the 2 sides (50m + 120m), you get 170m.
Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).
300m is the only answer that fits.
Hey there! I'm happy to help!
To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!
First, we'll add our two x-values.
-6-0= -6
We square it, which means to multiply it by itself.
-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)
Now, we do the same with the y-values.
-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)
We square it.
-1(-1)=1
Now, we add these x and y value differences.
36+1=37
Now, we find the square root using a calculator.
√37≈6.08
Have a wonderful day!
