Answer:
(6,1)
Step-by-step explanation:
1.) group the x and y terms (and move the constant to the other side)
x²-12x+y²-2y= -12
divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)
x²-12x+36+y²-2y+1= -12+36+1
factor
(x-6)²+(y-1)²= 25
the center is therefore (6,1)
Answer:
<h2>
Letter C</h2>
Step-by-step explanation:
If we look on the number line we see that there is a point on -3, another point on -1, 2, and 7.
These points tell us our answer, but the question states it doesn't have to be in any order.
As we look at answer A we see -3, 1, 2, and -7. That's incorrect since there is no positive 1 nor an -7.
As we look at answer B we see -3, 7, 1, and -2. That's incorrect since there is no positive 1, and not a -2.
As we look at answer D we see -2, 3, 1, and 7. That's incorrect since there is no positive 2, no positive 3, and no negative 1.
C has to be the correct answer since it's the only answer left and has the 4 numbers that are on the number line.
Therefore, the correct answer is C.
Best of Luck to you.
If you have any questions, feel free to comment below.
Answer:
5
Step-by-step explanation:
3-(-2) will become positive 5. so number line will go towards positive 5.
Answer:
1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.
So, if we say that y is her weekly income and x is her weekly sales, we can write this as:
y = 760 + 0.075x
Note that we had to change percentage to decimal number dividing it by 100.
2 Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.
Since this is a function, it can also be written as:
f(x) = 760 + 0.075x
3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).
All this means that appropriate domain for this function are positive real numbers including 0.
Answer:
12 minutes
Step-by-step explanation:
So, he spent 12 minutes jogging.
