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
Answer: The correct answer is the last one shown in the picture
Step-by-step explanation:
It’s the correct answer because when you subtract the two given equations with like terms you will get (- 25/8x + 63/10) —> when you simplify this you get (-3 1/8x + 6 3/10)
Answer: I think Figure 4 is the correct one
Step-by-step explanation:
It is not possible to map the triangle MNP and CDE together using just a single translation in Figure 3. With Figure 4, we can use a translation to map the triangle MNP and the triangle CDE. Accordingly, in the diagram, the triangle MNP and the triangle CDE can be translated to each other.
