Answer:
270km
Step-by-step explanation:
3 hours is 180 minutes
40 minutes - 60km
180 minutes - x km
x = 180/40 * 60 = 270km (the speed is 90km/h)
D/12=6/16 multiply both sides by 12
d=72/16
d=9/2
d=4.5
General equation of Ellipse centered at (h,k) is given as
where a is the radius along x-axis
and b is radius along y-axis.
Given : The equation of elliptical path of Earth as
Comparing the equation with the general equation, we get
(h,k) as (-2.5,0)
a = 
b = 
We have the Sun located at the coordinate (0,0).
Hence, the distance between Sun and Earth in July = 149.5 + 2.5 =152
∴ Earth's distance from the Sun in July is 152 million kilometers.
Answer: No, x+3 is not a factor of 2x^2-2x-12
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Explanation:
Let p(x) = 2x^2 - 2x - 12
If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).
Compare x+3 = x-(-3) to x-k to find that k = -3.
Plug x = -3 into the function
p(x) = 2x^2 - 2x - 12
p(-3) = 2(-3)^2 - 2(-3) - 12
p(-3) = 12
We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12
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Let's see what happens when we factor p(x)
2x^2 - 2x - 12
2(x^2 - x - 6)
2(x - 3)(x + 2)
The factors here are 2, x-3 and x+2
Answer:
width=x
length=5x
area= 300ft2
area=lxb
300=5x(x)
300=5x^2
x^2=60
x=7.74
7.74(5)=38.7
dimensions are 38.7ft by 7.74 ft
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