Answer:
x²+y² = 64
Step-by-step explanation:
The standard form of writing the equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given the diameter of the circle with endpoints (8,0) and (-8, 0)
d = √(x2-x1)²+(y2-y1)²
d = √(-8-8)²+(0-0)²
d = √(-16)²
d = √256
d = 16
radius r = 16/2
r = 8
The centre of the circle will be the midpoint of the coordinates
M = (8-8/2, 0+0/2)
M = (0/2, 0/2)
M = (0,0)
Hence the centre is at (0,0)
Get the required equation
Recall that (x-a)²+(y-b)² = r²
Substitute the centre and the radius
(x-0)²+(y-0)² = 8²
x²+y² = 64
This gives the required equation
f(x) = 3x + 5
Place 6 in X
f(6) = 3 * 6 + 5 = 23$
23 - 15 = 8$
Sara need more 8$ to rent a movie in Redbox because de sum of 15$ and 8$ is 23$ (the cost to rent 6 movies).
Answer:
30
Step-by-step explanation:
We know that in this case, since this is an intersection, the opposite sides are the same. Therefore, we can make a equation like this:
75 = 3x-15
Then we get:
90=3x
30=x
It's less confusing if you only think about one of them at a time.
A).
Change the whole thing to all inches.
(Multiply the 8-ft by 12inches/foot.)
Then, when you have it all in one number of inches,
multiply that number of inches by (2.54 centimeters/inch).
B).
1 ounce is the weight of 28.35 grams (on Earth).
Multiply the 300g by (1 ounce / 28.35 g).
C).
Multiply the liters by (0.264 gallon/liter)
Multiply the km by (1 mile / 1.609 km).
Then you'll have a fraction that actually means
(a number of gallons) divided by (a number of miles).
Do the division, and you'll have the gallons per mile.
D).
The area of any rectangle is (length) times (width).
The area of this living room is (13-ft times 14-ft), and that's in square feet.
You know how much 1 square foot of carpet costs.
Just multiply that price by the number of square feet that you need.
Answer:
A = 735 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 35 and h = 21 , then
A = 35 × 21 = 735 cm²
