Answer:
Center: (-1,8)
Radius: 1
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:
Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is
Therefore:
h=-1
k=8
Then, the center is (-1,8) and radius is 1.
You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.
Answer:
12 months or a year
Step-by-step explanation:
300÷25=12
First write what are given from the question
We write "<span>Craig scored 12 points in a game" as
</span>⇒ c = 12 <em>(first equation)</em>
We write "<span>Marla scored twice as many points as Craig but 5 fewer than Nelson scored" as
</span>⇒ m = 2c <em>(second equation)</em>
⇒ m = n - 5 <em>(third equation)</em>
<span>
Second, find the expression for n based on what we write above
</span>From the second and third equation
⇒ m = m
⇒ n - 5 = 2c
Subtitute from the first equation
⇒ n - 5 = 2c
⇒ n - 5 = 2(12)
⇒ n - 5 = 24
This is the expression to find how many nelson scored
n - 5 = 24
<span>
</span>
Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given
Now we can just substitute; let x=4+y
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11
Answer:
Thanks for the points! Merry Christmas!
Step-by-step explanation:
