Answer:
y = - 5x - 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, then
y = - 5x + c ← is the partial equation
To find c substitute (- 4, 4) into the partial equation
4 = 20 + c ⇒ c = 4 - 20 = - 16
y = - 5x - 16 ← equation of line
Answer: 12 inches
Step-by-step explanation:
Sqrt [(-4 -(-7)^2 + (6-3)^2 ]
= sqrt (9 + 9)
= sqrt 18
which can also be written as sqrt 9 * sqrt 2 = 3 sqrt 2
Answer:
explanation
Step-by-step explanation:
8. well each time, the number is going up by 6 per every 1 right? so the rate would be 1:6 type thing.
10. now this one is going down 1000 every 2 minutes. so the rate would be 2—1000, or 1:-500.
this is just written out ones to make it look like it makes sense...
8. 1 to 6
10. 1 to -500
If we take the Pythagorean identity identity sin^2 x + cos^2 x = 1 then
<span>(cos^2 x + sin^2 x) / (cot^2 x - csc^2 x)
The numerator becomes 1 since addition order matters not.
1 / </span>(cot^2 x - csc^2 x)
If we factor the denominator out a negative
1 / -(<span>csc^2 x - cot^2 x)
Consider </span><span>sin^2 x + cos^2 x = 1. Divide both sides by sin^2 x to get
1 + cot^2 x = csc^2 x
Subtract both sides by cot^2 x to get 1 = csc^2 x - cot^2 x.
Replace the denominator
1 / -(1) = -1
For cos</span>^2 θ / sin^2 θ + csc θ sin θ, we use cscθ = 1/sinθ and cosθ/sinθ = cotθ so
= cos^2 θ / sin^2 θ + 1
= cot^2 θ + 1
We use 1 + cot^2 <span>θ = csc^2 </span>θ to simplify this to
= csc^2 θ
Answers: -1
csc^2 θ