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sergij07 [2.7K]
3 years ago
5

Parallel lines are always what?

Mathematics
1 answer:
MArishka [77]3 years ago
5 0

Answer:

parallel lines never touch each other

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Each table represents some values of a function. If the slope between two pairs of points are equal, assume the function is line
kolbaska11 [484]
The slope of a function is the ratio of the rise (y2 - y1) and the run (x2-x1) of a function, In this case the slope would be (1 - 0) / (1-0) = 1. The y-intercept would be the y value when x is zero. From the table we see this will have a value of zero. The equation for this function would be y = x. We use the said equation to fill the blanks in the table.
7 0
3 years ago
What is the standard form of the equation of the circle x^2 - 4x +y^2 +6y + 4 = 0 ?
dybincka [34]
Answer: (x-2)^2+(y+3)^2 = 9

Side notes
1) This circle has a center of (2,-3)
2) The radius of this circle is 3
3) The graph is shown in the attached image

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Work Shown:

x^2-4x+y^2+6y+4=0
x^2-4x+y^2+6y+4-4=0-4
x^2-4x+y^2+6y = -4
x^2-4x+4+y^2+6y = -4+4 ... see note 1 below
(x^2-4x+4)+y^2+6y = 0
(x-2)^2+y^2+6y = 0
(x-2)^2+y^2+6y+9 = 0+9 ... see note 2 below
(x-2)^2+(y^2+6y+9) = 9
(x-2)^2+(y+3)^2 = 9

note 1: I'm adding 4 to both sides to complete the square for the x terms. You do this by first taking half of the x (not x^2) coefficient which in this case is -4. So take half of -4 to get -2. Then square this result to get 4

note 2: Like with note 1, I'm completing the square. What's different this time is that this is for the y terms now. The y coefficient is 6. Half of this is 3. Square 3 to get 9. So this is why we add 9 to both sides.

--------------------------------------------------------

So the equation in standard form is (x-2)^2+(y+3)^2 = 9

Note how
(x-2)^2+(y+3)^2 = 9
is equivalent to 
(x-2)^2+(y-(-3))^2 = 3^2

So that second equation listed above is in the form (x-h)^2+(y-k)^2 = r^2
where
h = 2
k = -3
r = 3

making the center to be (h,k) = (2,-3) and the radius to be r = 3

The graph is attached.

5 0
3 years ago
Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three bikes: $ Four bikes:
Zielflug [23.3K]

Answer:

26

Step-by-step explanation:

6 0
4 years ago
and Mandy takes 3.9 percent of jimmy chocolate jimmy has 5000 pieces of chocolate chocolate how much does jimmy have left
nevsk [136]

Answer:

Jimmy has 4805 left

Step-by-step explanation:

3.9% = 0.039

5000(0.039) = 195

Mandy took 195 pieces

5000 - 195 = 4805

Jimmy has 4805 left

6 0
3 years ago
32 - c = 15. What is the value of c?
Contact [7]

Answer: 17

Step-by-step explanation: You need to subtract 15 by 32 to get 17.

7 0
3 years ago
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