Answer:
The answer to your question is Center = (-8, 6) radius = 7
Step-by-step explanation:
Data
(x + 8)² + (y - 6)² = 49
Center = ?
radius = ?
Process
1.- Write the standard form of a circle
(x - h)² + (y - k)² = r²
2.- Compare the equation given with the standard form
The center of a circle = (h, k)
h = -8 k = 6 r² = 49
r = √49
r = 7
3.- Conclusion
Center = (-8, 6) radius = 7
F x 3 = 5
f3=5
f = 5/3
an can also be f = 1 2/3
Answer:
The linear equation
and Erin can pick
apples per hour if she maintains a constant rate.
Step-by-step explanation:
To find the linear equation of the relationship from the graph.
We have to find the coordinates .
Let say
and ![(x_1,y_1)=(2,100)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%282%2C100%29)
Here
variable is the time in hour and
variable is the number of apples.
To find linear equation we have to find the slope (m) of the line by using point-slope form.
![m=\frac{y_1-y}{x_1-x}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_1-y%7D%7Bx_1-x%7D)
So,
![m=\frac{100-50}{2-1}=50](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B100-50%7D%7B2-1%7D%3D50)
The the linear equation will be.
![y=50(x)](https://tex.z-dn.net/?f=y%3D50%28x%29)
Number of apples Eric pick in an hour is
.
By plugging the value of
in the equation we can find the number of apples picked by Erin per hours subsequently
for second hour.
In each hour she picks
apples.
Linear equation is
and number of apples picked by Eric in an hour is
.
Answer:
5/100 simplified to 1/20
Step-by-step explanation:
okay well 0.05 is 5 hundredths
and five hundredths is 5 out of 100
so the fraction would be 5/100
but simplified
it would be 1/20 because both 5 and 100 can go into 5 evenly 5 would turn to 1 and 100 would turn to 20
Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:
10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches