Slope Intercept Form: y = mx + b
(x, y) --> point on the line
m --> slope
b --> y-intercept
Point Slope Form: (y - y1) = m (x - x1)
(x1, y1) --> point on the line
m --> slope
Now that we know that information, we can substitute in what we know.
Slope Intercept Form: y = -1/2x + 3
Any equation will have to simplify to the equation above if it is an equation of the line.
A. 2y = 6 + x
y = 6/2 + x/2
y = 3 + 1/2x
<em>Not an equation.
</em>
B. x + 2y = 6
2y = 6 - x
y = 6/2 - x/2
y = 3 - 1/2x
y = -1/2x + 3
<em>Equation.
</em>
C. y = -1/2x + 3
<em>Equation.
</em>
D. (y - 2) = -1/2 (x - 2)
y - 2 = -1/2x + 1
y = -1/2x + 3
<em>Equation.
</em>
B, C, and D are all equations that represent the line.
Answer:
1.) 14.09 m/s
2.) 6.9 m/s
Step-by-step explanation:
Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.
The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem
V^2 = 12.8^2 + 5.9^2
V^2 = 198.65
Square root both sides
V = 14.09 m/s
2.) If the boat turns to face directly West.
Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be
12.8 - 5.9 = 6.9 m/s
Therefore, the boat is moving relative to land at 6.9m/s
Answer:
Step-by-step explanation:
²
Calculate sum
²
To raise a fraction to a power raise numerator and denominator to that power
-3 x
Calculate product
-
Subtract fractions
-
Answer:A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.
Step-by-step explanation:
A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.