X + y + z = 2
x - y + 5z = 6
cancelando +y com -y:
x + z = 2*(-5)
x + 5z = 6
-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
4x = 4
x = 4/4
x = 1
x + z = 2
1 + z = 2
z = 2 - 1
z = 1
x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0
S: {x, y, z} = {1, 0, 1}
Answer: A, 12
Step-by-step explanation:
The line in the middle is a midsegment, making the two triangles similar by a ratio of two. So, dividing 60 by five will give you twelve
Answer:


Step-by-step explanation:
<h3>QUESTION-1:</h3>
we are given the center and the redious of a circle equation
remember that,

where (h,k) is the centre coordinate and r is redious of the circle
given that, h=-2 , k=-5 and r=1
Thus substitute:

simplify:

<h3>QUESTION-2:</h3>
Likewise

given that,h=7,k=-3 and r=√7
substitute:

simplify:

Answer: 96 ways
In this case, the freshman must take one class each from Science(6 courses), Humanities(4 courses) and Mathematics( 4 courses).
Then to know how many ways she can arrange you just need to multiply the each course count (it would different if she has to take more than one class).
The calculation would be: 6 x 4 x 4= 96 ways.