Answer:

Step-by-step explanation:
The line passes through the origin has an equation y = mx
m - slope
The formula of a slope of a line passes through the origin
and a point (x, y):

We have the point (6, 8). Substitute:

Finally:

answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
Answer:
sec A = 5/4
Step-by-step explanation:
Sec of an angle is hypotenuse/adjacent side
In your problem, sec A = 25/20 = 5/4
It helps if you can draw a figure of the problem. Make sure you memorize the definition of each trig function
Answer:
9.2
Step-by-step explanation:
to find the third side you need to use the Pythagorean Theorem, which is a²+b²=c². In this case, 6²+7²=c², or 36+49=c². c²=85, so do the square root of 85 to get the length of c, which is 9.2.