Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Since 13 can only be divided evenly by 1 and 13 (itself), it is called a prime number.
The difference in area between the top surfaces of the two cakes is 28.26 inches²
<h3>Area of a circle</h3>
where
r = radius
Therefore,
area of top layer = πr²
d = 2r
r = d / 2
r = 8 / 2
r = 4 inches
area of top layer = 3.14 × 4²
area of top layer = 3.14 × 16
area of top layer = 50.24 inches²
area of the bottom layer = πr²
r = 10 / 2 = 5 inches
area of the bottom layer = 3.14 × 5²
area of the bottom layer = 3.14 ×25
area of the bottom layer = 78.5 inches²
Difference in area between the top surfaces of the two cakes can be found as follows:
- 78.5 - 50.24 = 28.26 inches²
learn more on circle here: brainly.com/question/10264279
