Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:
rate of change= x= 4 y= 20
slope= rise/run= change in y values/change in x values
slope= 20/4
i believe this is right, i could be wrong, i haven't done it in a long time.
Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:

Note that
and
are the legs of the triangle and
is the hypotenuse:
Substitute the lengths of the sides into the equation:


Therefore this triangle is a right triangle.
Answer:
y = 
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of a line passing through two points
and
is,
m = 
From the graph attached,
Since, the given line passes through (0, -1) and (3, 4),
Slope 'm' = 
m = 
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = 