Answer:
Your answer is right! It's (-2, 8)
Answer:
Step-by-step explanation:
Hello!
A trinomial is a expression consisting of three different terms
To turn this into a trinomial we multiply everything to each other
<u> 3x </u>
3x * x = 
3x * 10 = 30x
<u> 8 </u>
8 * x = 8x
8 * 10 = 80
Now we put them all together in an equation
Combine like terms
The answer is
Hope this helps!
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius
we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4
Rewrite as perfect squares
(x+1)²+(y-2²)+(z+4)²=4
(x+1)²+(y-2²)+(z+4)²=2²
the center is the point (-1,2,-4) and the radius is 2 units
Answer:
m∠S=30°
m∠T=60°
m∠P=90°
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
In the triangle STP
m∠S+m∠T+m∠P=180° ----> equation A
m∠T=2(m∠S) ----> equation B
m∠P=3(m∠S) ----> equation C
Solve the system of equations by substitution
Substitute equation B and equation C in equation A
m∠S+2(m∠S)+3(m∠S)=180°
Solve for m∠S
6m∠S=180°
m∠S=30°
<em>Find m∠T</em>
m∠T=2(m∠S)
m∠T=2(30°)=60°
<em>Find m∠P</em>
m∠P=3(m∠S)
m∠P=3(30°)=90°
