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irina1246 [14]
3 years ago
9

Write the equation of the ellipse in standard form

Mathematics
2 answers:
emmasim [6.3K]3 years ago
6 0

Answer:

h = 1, k = 2, a = 6 and b = 2.

Step-by-step explanation:

Start by grouping the terms in x and y together:

4x^2 - 8x  + 36y^2 - 144y = -4

Factor out the coefficient:

4(x^2 - 2x) + 36(y^2 - 4y) = -4

Complete the squares:

4 [(x - 1)^2 - 1] + 36 [y - 2)2 - 4] = -4

4(x - 1)^2 - 4 + 36(y - 2)^2 - 144 = -4

4(x - 1)^2 + 36(y - 2)^2 =  144

Divide through by 144:

(x - 1)^2 / 36 + (y - 2)^2/ 4 = 1

(x - 1)^2 / 6^2 + (y - 2)^2 / 2^2 = 1  (answer).

NNADVOKAT [17]3 years ago
5 0

Answer:

h=1    K =2    a =6    b=2

Step-by-step explanation:

look this solution :

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0.25 is a quarter so 1/4

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HELP FASTTTT Which graph shows the solution to the system of linear inequalities ?
Mice21 [21]
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.

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again, ignore the constants and simplify to 
x-y<0 or
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There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.

For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.

As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.

4 0
2 years ago
Read 2 more answers
18x=36 with a full explanation and I will give you brainlyest
iris [78.8K]

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Divide both sides by −18. Since −18 is negative, the inequality direction is changed.

x< −18

36

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Step-by-step explanation:

Hope this helps!

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2 years ago
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stellarik [79]
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5 0
3 years ago
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2. JI. has coordinates J(-6, 1) and Z(-4, 3). Find the coordinates of the midpoint.​
AleksandrR [38]

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

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7 0
3 years ago
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