Answer:
4x=32a
Step-by-step explanation:
Answer:
possible answers are shown in picture.
Step-by-step explanation:
or
is very easy to graph.
Choose whatever value of
and use the same for
in the same coordinate. Repeat and strike a line through all the points.
Some examples of valid points would be:
,
,
and
.
Then, to graph
you have to look at it in terms of the equation of a line (
) and its parts.
In this case,
and
.
So, you choose any value for
and you solve to find its
counterpart.
I will start with
:

Now, we have a first coordinate:
.
Repeat with a different value:

It gives us the coordinates
.
Plot those into the graph and strike a line through them.
Wherever the two lines in your Cartesian Plane cross, that is the solution for both equations. It should be
.
You can check it by replacing
and
by "3" in both formulas and equating the values of
:

Your solution is worked out and checked to be correct.
PS: I am attaching a picture of the graph, so you can have a visual idea of what it should look like.
Let x be ml of 5% soln.
let 500-x be ml of 25% soln.
.
x*.05=.05x
(500-x)*.25=125-.25x
500*.20=100
.
.05x+125-.25x=100
-.2x=-25
x=-25/-.2
x=125 ml of 5% soln.
500-x=375 ml of 25% soln.
.
Check:
125*.05= 6.25
375*.25=93.75
---------------
========100
Answer:
(4,2)
Step-by-step explanation:
The x coordinate of the midpoint is the sum of the x coordinates divided by 2
( 1+7)/2 = 8/2 = 4
The y coordinate of the midpoint is the sum of the y coordinates divided by 2
( 2+2)/2 = 4/2 = 2
The midpoint is (4,2)