Answer:
d) one solution; (4, 1)
Step-by-step explanation:
It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).
_____
You know there will be one solution because the lines have different slopes. Each is in the form ...
y = mx + b
where m is the slope and b is the y-intercept.
The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.
No. 26,341 is not evenly divisible by 3 .
Here's the trick you can use to decide this
just by looking at a big number:
==> If a number is divisible by 3, then the
sum of its digits is divisible by 3.
I've never taken the trouble to figure out why this works,
but it does work. I didn't make it up. It's widely known.
So let's look at 26,341 .
The sum of the digits is (2 + 6 + 3 + 4 + 1) = 16 .
16 is not divisible by 3 , so 26,341 is not divisible by 3 .
Is that cool or what !
Answer:
Let x rep the lenght of the shorter one
Then the longer one is 2x+1
Therefore
(2x+1) + x = 16
We now solve for x
2x + 1 + x = 16
Group and evaluate like terms
3x +1 = 16
3x = 16 -1
× = 15/3
x = 5
So the shorter one is 5 ft
The longer one is 2(5)+1= 11
Answer:
8 7
Step-by-step explanation:
15/10-8/10=7/10
