Answer:
4
Step-by-step explanation:
2+2=4
Answer:
x = 2√30, y = 2√21
Step-by-step explanation:
You can create the following equations:
(1) from the left triangle with sides x, y and 6:
y² + 6² = x²
(2) from the right triangle with sides y, 14 and... lets call it z:
y² + 14² = z²
(3) from the big triangle:
x² + z² = 20²
(4) Combine (2) and (3) to eliminate z:
x² + y² + 14² = 20²
combine (1) and (4) to eliminate x:
y² + 6² + y² + 14² = 20²
simplify
2y² = 20² - 6² - 14² = 168
y² = 84
y = √84 = 2√21
x² = y² + 6² = 84 + 36 = 120
x = √120 = 2√30
Answer:
(x,y,z) = (5/2, 5/2, 0)
If z = t,
(x,y,z) = ((5-3t)/2, (5-t)/2, t)
Step-by-step explanation:
-x + y - z = 0
2y + z = 5
(1/5)z = 0
From eqn 3, z = 0
2y + z = 5
Substitute for z in eqn 2
2y + 0 = 5
y = 5/2
substituting for y and z in eq 1
-x + (5/2) - 0 = 0
x = (5/2)
(x,y,z) = (5/2, 5/2, 0)
In terms of t, if z = t,
eqn 2 becomes 2y + t = 5
2y = 5 - t
y = (5 - t)/2
Eqn1 becomes
-x + (5-t)/2 - t = 0
-x + (5/2) - (t/2) - t = 0
-x + (5/2) - (3t/2) = 0
x = (5-3t)/2
(x,y,z) = ((5-3t)/2, (5-t)/2, t)
Answer:
the line is in the grass because it divides and reflects the sky and mountain.