Answer: the system has one solution which is x = 0, y = 5.
Explanation:
The pair of equations given constitute a system of two equations with two variables.
A system of linear equations may have a single solution, no solution (parallel lines) or infinite solutions (same line).
To find the solution or determine whether the system has one or infinite solutions, you may manipulate the equations.
This is the original systeym as given:
Multiply the first equation by 3 and the second equation by 2:
Subtract the first equation from the second:
Substitute x = 0 in any of the original equations to find y:
- 2y = 0 + 10
- 2y = 10
- y = 10 / 2
- y = 5
Hence, the system has one solution which is x = 0, y = 5.
9514 1404 393
Answer:
cos(A) ≈ 0.9165
Step-by-step explanation:
Put the given value into the given relation and solve for the unknown.
sin²(A) +cos²(A) = 1
(2/5)² + cos²(A) = 1
cos²(A) = 1 -4/25 = 21/25 . . . . . subtract (2/5)²
cos(A) = √(21/25) ≈ 0.9165 . . . . . take the square root
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Both sine and cosine are positive in Quadrant I, so we're only interested in the positive square root.
Carbon Dioxide: o2c
Water: h2o
Oxygen: o2
Water is h2o because there are 2 hydrogen molecules and 1 oxygen molecule.
h2 = 2 hydrogen molecules
o = 1 oxygen molecule
How much money does Tony have in his savings?
Hey there Katie,
Your question states: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. ∆ABC rotates 90° clockwise about point P to form ∆A′B′C′. So if we were to rotate the shape 2 which is ∆A′B′C′ toward to P. That would leave us with a 90° angle. So in this case,It would be B'A'C'∆.
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Hope this helps you Katie!
~Jurgen
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