Answer:
4
Step-by-step explanation:
The general equation of a circle with center (a, b) and radius r is given by the equation;

The constant in the right hand side of the equation is simply the square of the radius;
We have been given the following equation;
(x-3)^2 + (y+1)^2 = 16
Comparing this with the general equation above;

Answer:
$20.63 if you tip on the pre-tax amount
Step-by-step explanation:
You pay $12.99 for the pizza, plus the 8% tax on the pizza, plus the 20% tip of the cost of the pizza, so if you tip on the pre-tax amount, you pay
$12.99(0.08) = $1.04 in sales tax
$12.99(0.2) = $2.60 for the tip
and $4 delivery charge,
so you pay a total of
$12.99 + $1.04 + $2.60 + $4 = $20.63
Answer:
x=1, y=-6. (1, -6).
Step-by-step explanation:
y=-6x
-2x-7y=40
------------------
-2x-7(-6x)=40
-2x+42x=40
40x=40
x=40/40
x=1
y=-6(1)=-6
Answer:
10^0=1 day
Step-by-step explanation:
10^4 x 100=10^4 x 10²
=10^(4+2)
=10^6
Then:
10^6/10^6=10^(6-6)=10^0=1 day
Given:
Rectangle inside a circle.
To find:
The area of the shaded region.
Solution:
Length of a rectangle = 3 cm
Width of a rectangle = 3 cm
Area of a rectangle = length × width
= 3 × 3
Area of a rectangle = 9 cm²
Radius of a circle = 4 cm
Area of a circle = πr²
= 3.15 × 4²
Area of a circle = 50.24 cm²
Area of shaded region = Area of circle - Area of rectangle
= 50.24 - 9
= 41.24 cm²
The area of the shaded region is 41.24 cm².