Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(0, 4), T(-6, -3)
The distance between them is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
Step-by-step explanation:
Given
(a)


(b)


(c)


(d)



Answer:
Volume of cylinder is 953.77 cm³ and volume in term of π is 303.75π
Step-by-step explanation:
Given: Diameter is 9 cm
Height is 15 cm.
First lets find out the radius of cylinder.
As given, diameter is 9 cm
we know, radius= 
Radius= 
Now, finding the volume of the cylinder.
Formula; Volume of cylinder= 
where r is radius and h is height of cylinder.
⇒ Volume of cylinder= 
⇒Volume of cylinder= 
⇒Volume of cylinder= 
Taking π = 3.14
⇒ Volume of cylinder= 
⇒ Volume of cylinder= 953.77 cm³
Hence, volume of cylinder is 953.77 cm³ and volume in term of π is 303.75π.
Answer: option A. 9.2 gal/year
Justification:
The average rate of change from 1960 to 1970 is the change on the variable gallons consumed per passenger car divided by the period
average rate of change = Δg / Δt
Δg = 760 gallons - 668 gallons
Δt = 1970 year - 1960 year
760 gal - 668 gal 92 gal
average rate of change = -------------------------------- = ---------- = 9.2 gal / year
1970 year - 1960 year 10 year
Answer: 9.2 gal / year
As you see for this specific period, 1960 to 1970, the vehicles increased their consumption of gas per passenge, meaning that they became less efficient.
Answer:
The slope is 7.
Step-by-step explanation:
Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).
Then the slope (m) = (s-q)/(r-p)
⇒ m = (-4 -10)/(-5-(-3))
⇒ m = (-14) / (-5 +3)
⇒ m = -14/- 2
⇒m = 7
Hence the slope is m =7 .