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solniwko [45]
3 years ago
7

Find the vertices and foci of the hyperbola with equation (x-3)^2/16-(y+4)^2/9 = 1

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:well first you should start with the problem (x-3)^2/16-(y+4)^2/9=1

Then solve it and you should get the answer

Hope this helps!

Step-by-step explanation:

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a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour
liq [111]

Answer:

7 or 8 miles per hour

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A field is a rectangle with a perimeter of 960 feet. The length is 100 feet more than the width. Find the width and length of th
marta [7]
To start, let x represent the width and x+100 represent the length.

Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 960 feet, you can set the expression equal to 960. This would look like this:
(x+100)+(x+100)+x+x=960

Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=960

Now that you have your like terms simplified, subtract 200 from both sides to get 4x=760 and finally, to solve for x, or find the width, divide both sides by 4 to get x=190.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width of (190) since according to the information given, the length is 100 more than the width. When you add 100 to 190, you should get that your length is 290.

Now that you have your length and width, you can conclude that the dimensions of the field is 190 by 290 feet, which is your answer :)
4 0
2 years ago
4. The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has
RUDIKE [14]

Answer:

i got 38

Step-by-step explanation:

6 0
3 years ago
Please help me i really need help
joja [24]

Answer:

68

Step-by-step explanation:

15% of 80 is 12 so you subtract 12 from 80 and thats 68.

5 0
3 years ago
One more time!
CaHeK987 [17]
Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}

so we conclude that
q(\frac{\sqrt{19} }{2} ) = 1/4

therefore

p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right)  \right)

plug x=\sqrt{19}/2 into p( q(x) ) to get answer

p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left(  \frac{\sqrt{19} }{2}\right)^2 }{ \left(  \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow

\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow  -\dfrac{6\sqrt{19} }{361}

p(1/4) = -\dfrac{6\sqrt{19} }{361}
3 0
3 years ago
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