What are the x- and y-intercepts of the line 6x−y=10?
1 answer:
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Answer:
1. (d) First F, then D, then C
2. x=16, not extraneous
Step-by-step explanation:
1. Let's solve the given equation and see which steps we need:
Since the X is under a square root, let's raise both sides to their square value.
So we get: 6x + 4 = 64
Next step is to isolate the x factor, so we need to subtract 4 on both sides, to get:
6x = 60
Then to isolate x, we need to divide both sides by 6.
x = 10.
2. Solve for x.
We'll first begin by isolating the square root on its side alone:
Then we'll raise each side to its square: x + 9 = 25
Isolate x, to get x = 16
Now, is that solution extraneous or not?
Let's enter 16 in the initial equation and find out:
It works, so the solution is not extraneous!
Answer:
Distance from point AA to point BB = 189.3 feet
Step-by-step explanation:
Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;
distance from point AA to point BB = x - y
To determine the value of x, applying the required trigonometric function;
Tan θ =
Tan 13 =
x =
= 441.81 feet
x = 441.8 feet
To determine the value of y;
Tan 22 =
y =
= 252.46
y = 252.5 feet
Thus,
distance from point AA to point BB = 441.8 - 252.5
= 189.3 feet