Answer:
Area=105
Step-by-step explanation:
If we were to close the rectangle it would be 15ft x 8ft which equals 120ft
but then we'd have to find the area of the small rectangle inside being
3ft x 5ft = 15 ft
So, we'd have to subtract 15 ft from 120 ft giving us the answer of 105 ft
Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
![b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55](https://tex.z-dn.net/?f=b%5E2%20%2Ba%5E2%20%3D%20c%5E2%5C%5C%5C%5Cb%5E2%3D%7Bc%5E2-a%5E2%7D%5C%5C%5C%5Cb%5E2%20%3D%2064-9%5C%5C%5C%5Cb%5E2%20%3D%2055)
General equation of hyperbola is :
![\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7Ba%5E2%7D%2B%5Cdfrac%7By%5E2%7D%7Bb%5E2%7D%3D1%5C%5C%5C%5C%5Cdfrac%7Bx%5E2%7D%7B9%7D%2B%20%5Cdfrac%7By%5E2%7D%7B55%7D%3D1)
Hence, this is the required solution.
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the <em>multiplicand</em> and the <em>multiplier</em>. Those parts are also called <em>factors</em>.
Coyote - 43 mph
Rabbit - 35 mph
If each animal runs a certain amount of speed PER HOUR, then you want to multiply each of their speeds PER HOUR by the 6 hours, so let's get started! :D
Coyote - 43 x 6 = 258 miles per 6 hours
Rabbit - 35 x 6 = 210 miles per 6 hours
NOW, we can get to the last part!
258 - 210 = 48
We now know that the coyote runs 48 miles per 6 hours faster than a rabbit! :D
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