Answer:
m = 81
Step-by-step explanation:
Recall that slope m = rise / run.
As we go from (61,-17) to (62,64), the horizontal measurement (x) increases by 1 and the vertical measurement (y) increases by 81.
Thus, the desired slope is
81
m = ------ = 81
1

or in other words

3 is the opposite, and 5 is the hypotenuse.
You can use the pythagorean theorem to find the other side(adjacent)
a²+b²=c²
3²+b²=5²
9+b²=25 Subtract 9 on both sides
b²=16 Square root both sides
b = √16
b = 4
So the adjacent is 4.
tan theta = opposite/adjacent
tan theta = 3/4
Answer:
Therefore,


Step-by-step explanation:
Let the Width of rectangle be 'x' cm.
Then the length of a rectangle will be (x + 5) cm.
Area of rectangle given is 84 cm squared.
To Find:
Length = (x+5) = ?
Width = x = ?
Solution:
We have area of rectangle given as

Substituting the given values we get

On factorizing we get

Therefore,

Therefore,


Answer:
B
Step-by-step explanation:
-2n-6-35-14n=-16n-41
A right angle triangle will follow Pythagorean theory where a^2(hypotenuse)= b^2+ c^2
Therefore 17^2=11^2+ c^2
289=121 + c^2
168 = c^2
c= 13 rounded to the nearest tenth