Answer:
y = 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, so
y = 2x + c ← is the partial equation
To find c substitute (- 2, 3 ) into the partial equation
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = 2x + 7 ← equation of line
Answer:
B. -3, -10, -17, -24, -31
Step-by-step explanation:
An Arithmetic sequence is defined as a set of numbers with a common difference. In answer choice B, it is seen that the difference between each number is seven.
A is incorrect as one to eight has a difference of seven, while the other numbers have a difference of eight.
C is incorrect as it skips the number 12 between 9 and 15, thus breaking the sequence.
D is incorrect as the numbers jump from positive to negative, thus not having a common difference.
Hope this helps!
Answer:
−a^2 b^2 + 2a + 2b
_________________
a^2
Step-by-step explanation:
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Answer:
1/3
Step-by-step explanation:
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have
Therefore,
α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
