Answer:
The circumference of the circle is 5π
Step-by-step explanation:
First we need to calculate the diameter
for this we have to know the distance between A(1, 3) and B(4, 7)
X = Xb - Xa
X = 4 - 1
X = 3
Y = Yb - Ya
Y = 7 - 3
Y = 4
b - a = (3 , 4)
now that we have the distance of x and r we can calculate its distance using Pythagoras
h = hypotenuse
x = leg 1 = 3
y = leg 2 = 4
h² = x² + y²
we replace the known values
h² = (3)² + (4)²
h² = 9 + 16
h² = 25
h = √25
h = 5
The diameter of the circle is 5
Now we need to calculate the circumferencefor this we need to use the circumferenc formula of a circle:
c = circumference
d = diameter = 5
π = pi
c = π * d
we replace with the known values
c = 5 * π
c = 5π
The circumference of the circle is 5π
Option B. Quotient is the right answer
Step-by-step explanation:
Given expression is:
p/2 +4(7+p)
Let us look at the options one by one
<u>A. factor</u>
p/2 is not a factor as the factor is always multiplied with another factor
<u>B. quotient</u>
This is the right answer as p is being divided by 2. The quotient of both will be used for further calculations
Hence,
Option B. Quotient is the right answer
Keywords: MCQs, Expressions
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I would say D midpoint! Hope this helps :)

Round to whichever place is needed