Answer:
<em>y = -3x+4</em>
<em />
Step-by-step explanation:
Slope intercept form of a line is given by y = mx + b
Where
m is the slope
b is the y intercept.
To find m, we need to take any arbitrary 2 points and see how many units up/down and how many units right/left we need to go from one to another. <em>Basically change in y by change in x.</em>
<em />
Let's take 2 arbitrary points: (0,4) & (2,-2)
So we need to go -6 units from y = 4 to y = -2. We need to go 2 units from x = 0 to x = 2.
Hence slope is change in y by change in x, which is -6/2 = -3
b is the y-interceept, the place where it cuts the y axis. Looking at the graph, it is at y = 4
<em>Now we can write the equation as :</em>
<em>y = -3x+4</em>
Answer:
Step-by-step explanation:
Given that:
This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c
here c is the constant.
By cross multiply
From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.
Now,
This is the equation for the family of the eclipses centred at (0,0) is :
Therefore; the level of the curves are all the eclipses with the major axis:
and a minor axis 
which satisfies the values for which 0< c < 100.
The sketch of the level curves can be see in the attached image below.
Answer:
-5.230,0000
Step-by-step explanation:
Your number in decimal form is -52,300,000 . The negative sign remains unchanged. To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point. So, -52,300,000 becomes -5.230,0000
Answer:
4.5
miles
Step-by-step explanation:
Well, he runs
3
miles in
28
minutes. Also, see that
42
=
28
⋅
1.5
.
So, his journey would just be running
1.5
times, with each time running
28
minutes.
So, he runs a total of
1.5
⋅
3
=
4.5
miles
