Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
Answer:
<h2>The answer is 1</h2>
Step-by-step explanation:
The slope of the line between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question is points are
(8, 1) and (-1, 10)
Substitute the values into the above formula and solve for the slope
That's

We have the final answer as
<h3>1 </h3>
Hope this helps you
1 1/2 can be rewritten as 3/2
Difference means subtraction
So we do:
3/2-1/4
To get the same denominator, we can multiply the first fraction by 2
6/4-1/4
Then we subtract the numerators and leave the denominator
So the final answer is 5/4 of 1 1/4
Hope this helps
5y+4x
5(10) + 4(-5)
50 - 20
30
1) 24:6
2) 60:48
I just multiplied by 2