Answer:

Step-by-step explanation:
Let be
, which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1)
Given.
2)
Distributive and associative properties.
3)
/Result
First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,

Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,

Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

Now we have y-axis. Does y axis have a slope? Yes but it is
. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

That is, every point of a form
lies on y-axis.
Hope this helps :)
Answer:
0.5
Step-by-step explanation:
just divide 1 by half
Answer:
Use the distance formula on both points AC and AB.
<em>Distance formula is this</em><em>:</em>
<em>\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261</em>
Distance for AC is 16.16
Now do the same with the numbers for AB and get the distance of 5.39
2. To get the area, use the formula 1/2 x base x height
AB is the base and AC is the height.
1/2 x 16.16 x 5.39 = 43.55
the answer is 43.5
Answer:
C. The number of responces
is also 46
Step-by-step explanation:
Note that:
means both p and q must hold;
means either p or q must hold.
From the diagram,
- the number of responses
is 46; - the number of responces
is also 46; - the number of responces
is 0; - the number of responces which are neuther p nor q is 20.
So, you can state that the correct answer is C