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
Answer:
(x, y) ⇒ (½x, ½y)
(x, y) ⇒ (x + 7, y + 7)
Step-by-step explanation:
each x value of P'Q'R' is half of the x value for PQR
each y value of P'Q'R' is half of the y value for PQR
each x value of P"Q"R" is seven units to the right of the x value for P'Q'R'
each y value of P"Q"R" is seven units above the y value for P'Q'R'
Begin by following the herd . . . call the two numbers 'x' and 'y' .
You said that xy=1 , so y = 1/x
You said that x + y = 10, so x + 1/x = 10
Multiply each side by 'x': x² + 1 = 10x
Subtract 10x from each side: x² - 10x + 1 = 0
Use the quadratic formula to solve this, and the two solutions
that you get for 'x' are also the two numbers 'x' and 'y' .
They are
<em>9.89898</em>
and
<em>0.10102</em>
(rounded)
<span>
4°42'32" Because 1'=60"
+</span>3°<span>35'38" and
_________ 1</span>°=60'<span>
7</span>°<span>77'60"
_________ the answer will be= 8</span>°18'00"
