Answer:
and 
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.
Your first equation is already in terms of x, so simplify your second equation.
Now you can simplify your third equation.
These are your three equations in terms of y:
Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.
Two parallel lines will have the exact same slope.
Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of 
, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.
Your first two equations have the same slope and are therefore parallel.
Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.
Answer:
(-1,-9)
Step-by-step explanation:
(5,-2)
-5 -4 -3 -2 <em><u>-1</u></em> 0 1 2 3 4 <u>5</u>
starting at 5, move 6 units to the left, your new x-coordinate is -1
<u>-2</u>
-3
-4
-5
-6
-7
-8
<em><u>-9</u></em>
starting at -2, move 7 units down, your new y-coordinate is -9
The new point after the translation will be (-1,-9)
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
576
Step-by-step explanation:
Whenever you are solving these types of problems, you just put the value given in place of x. For this equation you would have done f(48)=-3·4(48)
Answer:
y=0x+3
y=3x-11
2,11
Step-by-step explanation:
This is the answer I know. let me know if I'm wrong
