Answer:
Step-by-step explanation:First you apply the distributive property to create equivalent expressions, then you use algebra tiles to write equivalent expressions, and finally you verify that two different values of the variable yield the same value for each expressions, then the expressions are equivalent
.
Answer:
Step-by-step explanation:
The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.
6^2 + 2^2 = x^2
36 + 4 = x^2
x^2 = 40
x = 6.32
Answer:
Neither
Step-by-step explanation:
I assume you left and x out for the first line: so y= -(5/3)x - 12
and y = (5/3)x + 3
Comparing the two, they are neither parallel nor perpendicular.
I feel like I've answered this already, but I could be wrong. Since it took 10 years for the price to increase by 11 cents, it would take around 7-8 years for it to raise by .8. (.52- .44)
Hope this helps!
By the divergence theorem, the flux of across <em>S</em> is equal to the volume integral of over the interior of <em>S</em>.
We have
so that
To compute the volume integral, convert to spherical coordinates with
<em>x</em> = <em>ρ</em> cos(<em>θ</em>) sin(<em>ϕ</em>)
<em>y</em> = <em>ρ</em> sin(<em>θ</em>) sin(<em>ϕ</em>)
<em>z</em> = <em>ρ</em> cos(<em>ϕ</em>)
so that
<em>ρ </em>² = <em>x</em> ² + <em>y</em> ² + <em>z</em> ²
d<em>x</em> d<em>y</em> d<em>z</em> = <em>ρ </em>² sin(<em>ϕ</em>) d<em>ρ</em> d<em>ϕ</em> d<em>θ</em>
The region <em>T</em> is the interior of the sphere <em>S</em>, given by the set
So we have