Answer:
Y = -5x + 29
Step-by-step explanation:
The first step is finding the slope:
y2 - y1 / x2 - x1
-1 - 4 = -5
6 - 5 = 1
-5/1 = -5
Now to point slope form ( y - y1 = m (x - x1)
Let's use the point 5, 4.
y - 4 = -5 (x - 5)
Time to simplify to slope intercept form ( y = mx + b)!
1. distribute
y - 4 = -5x + 25
2. Add 4 to both sides, making y alone.
Y = -5x + 29
Answer:
Step-by-step explanation:
8) C
Answer:
x = 14 and 2/3
Step-by-step explanation:
Make an equation where x is the number.
2x - 15 = 7 + 1/2x
Then, solve the equation.
multiply both sides by 2 to get rid of the fraction
4x - 30 = 14 + x
subtract x from both sides
3x - 30 = 14
add 30 to both sides
3x = 44
divide both sides by 3
x = 14 and 2/3
Answer:
See proof below
Step-by-step explanation:
In trigonometry identity
tan^2 theta = sin^2 theta /cos^2 theta
cot^2 theta = cos^2 theta/sin^2 theta
csc^2 theta = 1/sin^2 theta
Substitute into the expression
(sin^2 theta /cos^2 theta )+ (cos^2 theta/sin^2 theta)/1/sin^2 theta
= [sin^4theta + cos^4theta/cos^2 theta sin^2 theta]÷(1/sin^2 theta)
= 1/cos^2 theta sin^2 theta÷(1/sin^2 theta)
= 1/cos^2 theta sin^2 theta * sin^2 theta/1
= 1/cos^2theta
= sec^2theta (Proved!)
