The distance between the house and the subway is given by:
d=√[(x-x1)²+(y-y1)²]
Thus given the coordinates:
(-1,9) and (2,-4)
thus
d=√[(2-(-1))²+(-4-9)²]
d=√[(3)²+(-13)²]
d=√[9+169]
d=√178
d=13.34 ~13 units
Answer: D) 13
<span><span>x=<span>−3</span></span><span>x=<span>-3</span></span></span>
Here the steps
<span><span><span>2<span>x+1</span></span>−<span>1<span>x−1</span></span>=<span><span>2x</span><span><span>x2</span>−1</span></span></span><span><span>2<span>x+1</span></span>-<span>1<span>x-1</span></span>=<span><span>2x</span><span><span>x2</span>-1</span></span></span></span>
<span>x<span>−3</span></span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span>=<span><span>2x</span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span></span><span><span><span>x<span>-3</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>=<span><span>2x</span><span><span>x+1</span><span>x<span>-1</span></span></span></span></span>
<span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>
<span><span><span>x<span>−3</span></span>=<span>2x</span></span><span><span>x<span>-3</span></span>=<span>2x</span></span></span>
<span><span>x=<span>−3</span></span><span>x=<span>-<span>3</span></span></span></span>
<span><span><span><span>So the answer comes out to be x = 3 I hope this was helpful </span></span></span></span>
5/8-5/12(3-1/4)+2/3=5/8- 5/12 * (12/4-1/4)+2/3=
5/8- 5/12 * (11/4) +2/3=
5/8- 55/48 + 2/3=
30/48 - 55/48 + 32/48=
-25/48 +32/48=
7/48
Your answer is B.
Answer:
D. Substitution
Step-by-step explanation:
I don't know how to explain it other than that they substituted the 50° angle into the original equation.