Answer:
Step-by-step explanation:
pi*r^2=area
1*1=1
1*3.14=3.14
the area is pi itself
5 1.2
-3 7
6 1.2
2 -3
yes its a function, as long as the domain (input) doesnt have the same number with two different ranges (outputs) its a function
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by

The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows



Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
3/5
Step-by-step explanation:
The given ratio is ...
water : juice = 3 : 5
Divide both numbers by 5 to see how much water is needed with 1 cup of juice.
water : juice = (3/5) : 1
3/5 parts of water are mixed with 1 part of juice.
Answer:
Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21