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alex41 [277]
3 years ago
5

16(2x-5)²-9(y+1)² and plz​

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

64x2−9y2−320x−18y+391

Step-by-step explanation: 16(2x−5)2−9(y+1)2

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Write the equation of the hyperbola with foci at (1, 5) and (7, 5) and with vertices at (2, 5) and (6, 5).
mash [69]
If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down.  We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively.  Also, the equation looks like this when it is horizontal: \frac{(x-h) ^{2} }{ a^{2} } - \frac{(y-k) ^{2} }{ b^{2} } =1.  a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3.  We need to find b now, using Pythagorean's theorem.  ( 2)^{2} + b^{2} =( 3)^{2} and b= \sqrt{5}.  Now we have everything we need to rewrite the equation: \frac{(x-4) ^{2} }{4} - \frac{(y-5) ^{2} }{5} =1
6 0
3 years ago
Joe has eaten 2/5 of a pizza. Jane has eaten 1/3 of a pizza. How many times more pizza has joe eaten than jane?
Marina CMI [18]

Answer:

3.6

Step-by-step explanation:

Divide 2/5 by 1/9 which is the same as multiplying 2/5 by 9/1

 

we then get 18/5 = 3.6

 

So, Joe has eaten 3.6 times more pizza than Jane

Hope that is the right answer !?

4 0
4 years ago
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members can go outdoor rock
Lilit [14]
30*85 multiply those to numbers and then multiply 45 120
4 0
3 years ago
what is the quotient of (6x2-7x-5)/(2x+1) for all the values of x where the expression is defined? PLEASE HELP ASAP!!!!!!!!!!!!!
gladu [14]

Answer:

<h2><u>=3x−5</u></h2>

Step-by-step explanation:

6x2−7x−5 / 2x+1

=    6x2−7x−5 / 2x+1

=    (3x−5)(2x+1)  / 2x+1

<u>=3x−5</u>

4 0
3 years ago
Are the equations -2x=10 and -5x=25 equivalent
Natasha_Volkova [10]
To equations are equivalent if and only if they have the same solution set.

Solve for both of the equations.

-2x = 10
x = -5 <-- Divide both sides by -2

-5x = 25
x = -5 <-- Divide both sides by -5

Both have the solution -5.

So, yes both are equivalent.
4 0
4 years ago
Read 2 more answers
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