Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:

Use Pythagoras in triangle HKL




Taking square root on both sides.

Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,




Use Pythagoras theorem in ΔHKI,


From (1) and (2) we get



Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).


Taking square root on both sides.


Hence, the measure of KI is 11.25 units.
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Answer:
.
Step-by-step explanation:
<h2>
Answer: y = -1x + 2</h2>
Step-by-step explanation:
Points ( -3,5 )( 6,-4 )
You use the slope formula to find the slope.
<h3>Note: You'll need to learn the slope formula to make more sense of it, I suggest watching a video about it.</h3>
M = Y2 - Y1 over
X2 - X1
Which is -4 - 5
6 - -3 = -9/9 = -1
The slope is -1
Now to find the y-intercept we use one of the x,y points ( I'll use 6,-4 )
And plug them in
-4 = -1(6) + b
-4 = -6 + b
+6 +6
2 = b
The equation will be y = -1x + 2
The x axis represents time so it can only have positive values.
That means that the quadrant 2 and quadrant 3 are not used.
Given that the temperature (y-axis) can be positive or negative the values are in the quadrants 1 and 4.
Therefore, the answer is Quadrant 1 and 4 only.