The correct answer is D.
If you look at the equation you can see that the line crosses at the points
(1,5) and (-2, -4). Use this set of ordered pairs to find the slope.
(-4-5)/(-2-1) = (-9/-3) = 3
The use the point-slope formula and fill in the ordered pair (1,5) with the slope.
y - 5 = 3( x - 1)
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
Answer: 50/110 simplified is 5/11
Step-by-step explanation:
50/110
50/10=5
110/10=11
5/110=5/11
Answer:
-12
Step-by-step explanation:
if a=-2 and b=-5
(18-(-2×-5))+4(-5)
(18-(10))-20
8-20
-12
just gotta plug in the given into the equation
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because 
is the adjacent side of the right triangle
Finding :
