To work out the average speed you would have to use the formula
AS = 15.0 ÷ 30.0 = 0.5 which is distance divided by time.
The you would do 0.5 x 60 = 30 (60 minutes = 1 hour)
So the average speed would be 30.0 km/h.
Given that

, we have for

the Taylor series expansion about 0 as

Replace

with

, so that the series is equivalent to

and notice that

Recall that for

, we have

which means

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Answer:
7x +9y = -1
Step-by-step explanation:
The standard form of the equation for a line is ...
ax +by = c
where a, b, c are mutually prime integers and a > 0.
We can get this form by multiplying the equation by 9, adding 7x+27.
y - 3 = -7/9(x +4)
9y -27 = -7x -28 . . . . . multiply by 9, eliminate parentheses
7x +9y = -1 . . . . . . . . . add 7x+27 to both sides
_____
The attached graph shows both equations. They are in different colors and textures so you can see they are the same line.
Answer:
r
Step-by-step explanation:
Since r is not given, the length we can be find using the Law of Sines using is length r.
The Sine formula or the Law of Sines
q/Sine Q = r/Sine R
q=9.5
r is the unknown
9.5/Sine 18° = r/ Sine 135°
Answer: y= -6.45 and y=5-x
Step-by-step explanation:
Subtract 5.1 from both sides.
-2y= 18-5.1
Simplify 18- 5.1 to 12.9
-2y=12.9
Divide both sides by -2
y= - 12.9/2
Simplify 12.9/2 to 6.45
y=-6.45
Factor out the common term 3.
3(x+y)=15
Divide both sides by 3.
x+y =15/3
Simplify 15/3 to 5.
x+y = 5
Sub. x from both sides
y= 5-x