You know that Akiko is 45 miles from the origin...Kosuke is (135/4) miles from the origin... You can draw a figure to clearly see the situation.
<span>you "know" that the angle between their routes is 140º </span>
<span>the side opposite (140º) is the distance between them... </span>
<span>c^2 = (45)^2 + (135/4)^2 - 2(45)(135/4) cos 140 </span>
<span>c ≈ 74.1 mile
Hope this answers the question.</span>
Answer:
x=16
Step-by-step explanation:
1/2 ( x - 4 ) = 1/3 ( x + 2)
distribute both sides
1
/2
(x−4)=
1/
3
(x+2)
(
1
/2
)(x) + (
1/
2
)(−4) =(
1
/3
) (x)+(
1/3
)(2)(Distribute)
1
/2
x+−2=
1
/3
x+
2
/3
1
/2
x+−2=
1
/3
x+
2
/3
Step 2: Subtract 1/3x from both sides.
1/2x -2 -1/3
x
x=
1
/3
x +
2/3 −
1/
3
x
1
/6 x−2=
2/
3
Step 3: Add 2 to both sides.
1
/6
x −2+2=
2/
3 +2
1
/6
x =
8
/3
Step 4: Multiply both sides by 6.
6*(
1/6
x) =6*(
8
/3
)
x=16
y = x³ + 3x² - x - 3
0 = x³ + 3x² - x - 3
0 = x²(x) + x²(3) - 1(x) - 1(3)
0 = x²(x + 3) - 1(x + 3)
0 = (x² - 1)(x + 3)
0 = (x² + x - x - 1)(x + 3)
0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
0 = (x(x + 1) - 1(x + 1))(x + 3)
0 = (x - 1)(x + 1)(x + 3)
0 = x - 1 or 0 = x + 1 or 0 = x + 3
+ 1 + 1 - 1 - 1 - 3 - 3
1 = x or -1 = x or -3 = x
Solution Set: {-3, -1, 1}
It is B. Because perpendicular is opposite reciprocal
The number of years (n) that the deposit stayed in his balance is given by: 65 - 18 = 47 years.
The future value (FV) of a deposit (P), deposited at an interest rate of r% compounded yearly for n years is given by

Given that <span>Jamal deposits P = $1000 into a savings account on for n = 47years at 2% interest compounded yearly, the amount in his bank account at the end of the period is given by

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