To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3) (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1 -6-(-3) -9
-------- = -------- = ----
x2-x1 9-(-5) 14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14
Answer:
6
Step-by-step explanation:
So, to start answering this, lets recall the formula for a rectangles volume:
This formula is :
V=h*w*l
Lets plug in what we know, and solve for the missing variable.
We know that height(h) is 7.
We know that width(w) is 9.
We know that volume(V) is 378.
We are missing length(l)
So:
378=7*9*l
To find length(l), we must iscolate it.
To do this, we must get rid of the 7 and 9.
So lets start by dividing 378 by 9:
378/9=7*9/9*l
=
42=7*l
Now lets do the same thing with the 7 to iscolate l:
42/7=7/7*l
=
6=l
So our missing length(l) is 6.
Answer:
l = 6
Hope this helps!
6x-9=15
6x=24
x=4
Therefore the answer is A.
Hope this helps :)
I hope this helps you
answer is D
It looks like the vector field is
<em>F</em><em>(x, y)</em> = 3<em>x</em> ^(2/3) <em>i</em> + <em>e</em> ^(<em>y</em>/5) <em>j</em>
<em></em>
Find a scalar function <em>f</em> such that grad <em>f</em> = <em>F</em> :
∂<em>f</em>/∂<em>x</em> = 3<em>x</em> ^(2/3) => <em>f(x, y)</em> = 9/5 <em>x</em> ^(5/3) + <em>g(y)</em>
=> ∂<em>f</em>/∂<em>y</em> = <em>e</em> ^(<em>y</em>/5) = d<em>g</em>/d<em>y</em> => <em>g(y)</em> = 5<em>e</em> ^(<em>y</em>/5) + <em>K</em>
=> <em>f(x, y)</em> = 9/5 <em>x</em> ^(5/3) + 5<em>e</em> ^(<em>y</em>/5) + <em>K</em>
(where <em>K</em> is an arbitrary constant)
By the fundamental theorem, the integral of <em>F</em> over the given path is
∫<em>c</em> <em>F</em> • d<em>r</em> = <em>f</em> (0, 1) - <em>f</em> (1, 0) = 5<em>e</em> ^(1/5) - 34/5
