Answer:
Slove For X
x= -1
Solve for Y
Y= 10/3
Step-by-step explanation:
SO I did Elimination method
To isolate X and to solve for it
x+3y=9
3x−3y=−13
Add these equations to eliminate y:
4x=−4
Solve for X
x=-1
Now plug x back in to solve for y
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
<h3>The Midpoint Formula</h3>
The midpoint formula is given as: 
<em>Where</em>,
= coordinates of the midpoint
= coordinates of the first point
= coordinates of the second point
Given the following:
= M( 6,-4)
= G(8,-2)
= H(?, ?)
Plug in the values into the midpoint formula
Solve for the x-coordinate and y-coordinate separately
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
Learn more about midpoint formula on:
brainly.com/question/13115533
Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
