Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
Answer:
2880
Step-by-step explanation:
The total number of people affected by flu during the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer:
7
Step-by-step explanation:
If m was 1, then it would be
4 +8 = 36, which is not true.
If m was 7, then it would be
28 + 8 = 36, which is true.
If m was 11, then it would be
44 + 8 = 36, which is not true.
If m was 36, then it would be
144 + 8 = 36, which is not true.
Hope that helps!
It is false that city parks are part of the natural environment.
Since we are the ones who built them, they couldn't have been created by nature.
Hold up. Hee haw. Whoa!
Your first instinct was to multiply it out and get rid of the parentheses.
That's often a good instinct, but this time, it made things harder for you.
This is a good example of a rule you should consider:
Before you do anything to anything, sit back, relax,
LOOK at the problem, THINK about it, and plan your
strategy. Decide what the solution might look like,
and what you're going to do to the given information
in order to move towards the solution.
You might look at this particular equation and ponder:
-- If I multiplied this thing out and got rid of the parentheses, it would
have x³ in it. So there are going to be 3 solutions.
-- If either factor is zero, then the equation is true.
-- One of the factors is 6x. Setting that to zero gives one solution: x=0.
-- The other two solutions come from setting (4x² - 4) = 0 .
-- That's the difference of 2 squares, so it's (2x + 2) (2x - 2) = 0
-- The other 2 solutions come from setting each of those factors to zero.
There you are. You got this far just by thinking, without even picking up
your pencil yet.
