This is just simple. For example you have a plane of the form x=a, then you just substitute x with a, and you'll get an equation with y and z only, hence you have a 2-d trace of the intersection. It is just similar for y=b and z=c.
(1) At z=1.5, 2x^2 + 5y^2 + 1.5^2 = 4
2x^2 + 5y^2 = 1.75
Now you have an ellipse in the z=1.5 plane as your trace.
(2) At x=1, 2(1)^2 + 5y^2 + z^2 = 4
5y^2 + z^2 = 2
Now you have an ellipse in the x=1 plane as your trace.
(3) At z=0, 2x^2 + 5y^2 + (0)^2 = 4
2x^2 + 5y^2 = 4
Now you have an ellipse in the z=0 plane as your trace.
(4) At y=0, 2x^2 + 5(0)^2 + z^2 = 4
2x^2 + z^2 = 4
Now you have an ellipse in the y=0 plane as your trace.
Answer:
<h3>
A Geometric sequence with common ratio 3</h3>
Step-by-step explanation:
A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers
ratio between 2 adjacent numbers in a sequence will be a constant and is called common ratio.
in the given sequence the ratio between any pair of adjacent numbers is 3.
∵ this is a geometric sequence with common ratio 3
Answer:
B.) 
Step-by-step explanation:
Then find the Least Common Denominator(LCD); simply just multiply 4 by 3 to get 12; then multiply using the opposite number.
to get: 
.
now the denominators is the same on both sides, just subtract the numerator.
27 - 8 = 19
Now simply: 
.
Your final answer is 1\frac{7}{12}[/tex].
-2x + 5y = 8
2x + 2y = 6
----------------add
7y = 14
y = 14/7
y = 2
2x + 2y = 6
2x + 2(2) = 6
2x + 4 = 6
2x = 6 - 4
2x = 2
x = 2/2
x = 1
solution is (1,2)
