The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The equation of the circle has the center at the origin and the radius is one unit. Then we have
x² + y² = 1
The point P = (-2/3, y) lies on the unit circle. Then the value of y will be
(-2/3)² + y² = 1
y² = 1 - 4/9
y² = 5/9
y = ± √5 / 9
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17 + 2 = 19 km is 1/2 of the total length, that is,
19 = (1/2)h
(1/2)h = 19 multiply both sides by 2
h = 2*19
h = 38 km
The total length in kilometers is 38 km
Answer:
17.5 in
Step-by-step explanation:
Step one:
given
The perimeter of a rectangle is 53 inches
let the two shorter sides be the width w
so w+w= 18in
the two longer sides is L
L+L=2l
Step two:
but the expression for the perimeter of a rectangle is
P=2W+2L
53= 18+2L
53-18=2L
35=2L
divide both sides by 1
L=35/2
L=17.5
