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Yanka [14]
3 years ago
9

Type the correct answer in the box. Use numerals instead of words. Convert miles per hour to meters per second. Round the answer

to the nearest whole number. (1 mile = 1,609 meters, 1 hour = 3,600 seconds) 65 miles per hour = meters per second.
Mathematics
1 answer:
Neko [114]3 years ago
3 0

Since you're given the number of meters in a mile and seconds in a hour, you have

\dfrac{1 \text{ mile}}{1 \text{ hour}} = \dfrac{1609\text{ meters}}{3600\text{ seconds}} = \dfrac{1609}{3600} \dfrac{\text{meters}}{\text{seconds}}

So, 65 miles per hour are equivalent to

65 \times\dfrac{1609}{3600} \dfrac{\text{meters}}{\text{seconds}} \approx 29 \dfrac{\text{meters}}{\text{seconds}}

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What is the equation of the following graph?
boyakko [2]

Answer:

\frac{(x-1)^2}{5^2} -\frac{(y-2)^2}{2^2} =1

Step-by-step explanation:

Here you are require to find the equation of the hyperbola given that the center (h,k), the coordinates of the vertices and those of the co-vertices can be determined from the diagram given

The sharp turning points of the curves give the vertices at (-4,2) and (6,2)

Joining the vertices with a straight line will form the transverse axis with length 2a .

To find the length of the transverse axis 2a will be ; 6--4=10. 2a=10 hence a=10/2 =5

a=5

Find the center of the hyperbola at (h,k) by  finding the intersecting point of the diagonals of the rectangle in the diagram

The center identified will be (h,k) = (1,2)

To find the length of the conjugate axis 2b will be ; the length between points (1,4) and (1,0) which are the coordinates of the co-vertices in the hyperbola. 2b= 4-0=4 , b=4/2 = 2

b=2

The standard equation of the hyperbola with center (h,k) is written as ;

\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1

where  (h,k) is center of hyperbola, (h±a,k) is coordinate of the vertices and (h,k±b) are coordinates of co-vertices.

Substitute values of a, b, h, and k in equation as

\frac{(x-1)^2}{5^2} -\frac{(y-2)^2}{2^2} =1

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the shape opposite to 'z' is labelled with 2

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