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Alex_Xolod [135]
3 years ago
12

Find the vertices and foci of the hyperbola with equation quantity x plus 1 squared divided by 225 minus the quantity of y plus

5 squared divided by 400 = 1

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
7 0

Answer:

The vertices are (-16,-5) and (14,-5)

The foci are (-26,-5) and (24,-5)

Please, see the attached file.

Thanks.

nataly862011 [7]3 years ago
6 0

Answer:

Answer Choices

Vertices: (-1, 3), (-1, -13); Foci: (-1, -13), (-1, 3)

Vertices: (3, -1), (-13, -1); Foci: (-13, -1), (3, -1)

Vertices: (-1, 1), (-1, -11); Foci: (-1, -15), (-1, 5)

Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)

Step-by-step explanation:

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Example 5 suppose that f(0) = −8 and f '(x) ≤ 9 for all values of x. how large can f(3) possibly be? solution we are given that
joja [24]

f'(x) exists and is bounded for all x. We're told that f(0)=-8. Consider the interval [0, 3]. The mean value theorem says that there is some c\in(0,3) such that

f'(c)=\dfrac{f(3)-f(0)}{3-0}

Since f'(x)\le9, we have

\dfrac{f(3)+8}3\le9\implies f(3)\le19

so 19 is the largest possible value.

6 0
3 years ago
What is the slope of the line 3y=6x-1
Allisa [31]

Answer:

2

Step-by-step explanation:

Simplify 3y=6x+1;

y=2x-1/3

y=mx+b , where m represents the slope.

Slope; 2

6 0
3 years ago
Read 2 more answers
What is the value of y
8090 [49]
I need more info to answer this question
4 0
3 years ago
Read 2 more answers
Systems By Graphing - Solve All Correctly For a Thanks, 5-Stars, And A Brianliest!
BartSMP [9]

Answer:

Step-by-step explanation:

Amari= Graph C and Solution is (-6,-2)

Bella= Graph A and Solution is (3,4)

Carl= Graph B and Solution is (0,-3)

0 solutions because the slopes are the same. The lines will never cross because they are at the exact same angle.

No, I do not agree with Joey because the lines have different slopes and will lead to the system cross which is the solution.

1st graph: y=2x-1 and y=7 solution #1= (4,7)

2nd graph: y=-2x-3 and y=1/2x solution #2= (-2,1)

3rd graph: y=x and y= -1/5+6 solution #3= (5,5)

I had this exact same assignment a few months ago, my teacher didn't use the 2nd slide but I had the 1st and 3rd slide so this should help!

4 0
3 years ago
Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)
kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for  yp , and then substitute that result,  y′′p , along with equation for  yp  above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side,  sin(2x) , you will find:

A=0

B=−14

Therefore,

yp=−14xcos(2x)

For more information about differential equation, visit

brainly.com/question/18760518

8 0
2 years ago
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