Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
the price of each plate is $7.5
So you swap sides and you have 3x=93 and then you divide 3 by 93 and you get x=31
The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
brainly.com/question/1559324
#SPJ1
Answer:
3.14 (or pi ) feet
Step-by-step explanation:
Entire circle circumference = pi *d = 8 pi feet
45 degrees is a fraction of the entire 360 degrees of the circle
45 / 360 * 8 pi = pi = 3.14 ft
Answer:
Value of f(-10) is 1100
Step-by-step explanation:
Given that f(x) = x² - x³
Here we need to find f(-10).
f(-10) = (-10)² - (-10)³
f(-10) = 100 - (-1000)
f(-10) = 100 + 1000
f(-10) = 1100
Value of f(-10) is 1100
