Answer:
y = -x - 4
Step-by-step explanation:
the equation of a linear graph is y = mx + b
you know the m = -1
so now the equation is y = -x + b
from here, what you could do to find b is...
plug (-1, -3) into the equation
1) x = -1, y = -3
2) -3 = -(-1) + b
3) -3 = 1 + b
4) -4 = b
or you can look at the y-intercept which is where the line intersects with the y-axis
it seems to be (0, -4)
so "b" would be equal to -4
this makes the final equation y = -x + (-4) or y = -x - 4
Answer:
The area of the sector is 
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians

Answer:
$0.3 per ounce.
Step-by-step explanation:
5.19/16.8=0.3
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
<h3>
How to rewrite the equation in spherical coordinates?</h3>
The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109