Answer:
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Step-by-step explanation:
Example:
y = 2x + 1 is a linear equation:
- When x increases, y increases twice as fast, so we need 2x
- When x is 0, y is already 1. So +1 is also needed
- And so: y = 2x + 1
Here are some example values:
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5
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Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
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Answer:
unit vector = -0.891i + 0.454j
Step-by-step explanation:
Given that;
magnitude of unit vector =
angle of 153° degrees from the x axis, with a positive y component
{ second quadrant }
so, x and y components of the vector are;
x component = 1 × cos(153°) = - 0.891
y component = 1 × sin(153°) = 0.454
⇒ -0.891i + 0.454j
Therefore, unit vector = -0.891i + 0.454j
Answer:
x° =121°
Step-by-step explanation:
The inside angles of a triangle together must equal 180°. Therefore, 58° + 63° + n° = 180° if n equals the third angle inside the triangle. So,
180°-(58°+63°)=n°
180° - 121° = n°
59° = n°
Since the outside angle x and 59° must also equal 180°,
180° - 59° = x°
121° = x°
You can also find the exterior angle without finding the interior by adding the two other interior angles together.
58°+63°=x°
121°=x°
