Answer: 6, -6
Step-by-step explanation:
If Ann is at 0, Ben will be four units away from her which could be 4 or -4 so since Carl will be 2 units away from Ben, he the only possible locations are 6, or -6
To find the slope, we must use the formula stated below.
Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)
Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.
I'll use the first coordinate as our #1.
(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer
Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
<h3>
Answer: A) 46</h3>
Explanation:
The angles shown are same side interior angles.
For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.
28+(3x+14) = 180
28+3x+14 = 180
3x+42 = 180
3x = 180-42
3x = 138
x = 138/3
x = 46
Using SohCahToa, we can find the height of the tree. Let the tree height be h. 8m is adjacent to the 30° angle.
The answer is A) 4.6 m
