points: (1, 4), (2, 8), (3, 12), and (4, 16)
Step-by-step explanation:
just follow the table and plot the points
We can say that the other number is even or it is 0.
Answer: center (1;0), radius = 2
Step-by-step explanation:
x² – 2x + 5+ y² = 8
x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²
(х-1)² +4 + y² = 8
(х-1)² + y² = 8 - 4 = 4
(х-1)² + y² = 2²
center (1;0), radius = 2
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
c = 2
Step-by-step explanation:
6c + 3y = 18
6c + 3(2) = 18
6c + 6 = 18
6c = 12
c = 2
