What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?

The equation of the ellipse will be x² / 36 – y² / 32 = 1.

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

This ellipse is centered at the origin.

Vertices: (0,-6) (0,6)

Foci: (0,-2) (0,2)

Then the equation of the ellipse will be  given as

x² / a² – y² / b² = 1

Let c be the distance between the origin to foci.

Then we have

c = 2

And the value of a will be

a = 6

Then the value of a² will be

a² = 6² = 36

The value of b is the distance from center to one of the Co-vertices. Then the value of b² will be

a² – b² = c²

36 – b² = 2²

        b² = 36 – 4

        b² = 32

Then the equation of the ellipse will be x² / 36 – y² / 32 = 1.

More about the ellipse link is given below.

https://brainly.com/question/19507943

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Answer:

1) (3,5) is the new point

2) P(-1,-4) U(-5,0) N (-2,1)

Step-by-step explanation:

hope this helps. good luck

Answer:

TABLE 1:

88

80

65

57

50

41

45

28

14

4

TABLE 2:

176

164

132

108

90

81

60

28

11

2

Step-by-step explanation:

When two angles are complementary they add up to 90 degrees

so for example if angle 1 is 2 angle two must equal 88 (they have to add up  to 90)

When two angles are supplementary they must add up to 180 (so it's the same process as table 1 but instead of adding to 90 it's 180)

Answer:

m<2 88,80, 65, 57, 50, 41, 35, 28, 14, 4

m<4 176, 164, 132, 108, 90, 81, 60,28, 11, 2

Step-by-step explanation:

complementary means they add up to 90°

m<2 88,80, 65, 57, 50, 41, 35, 28, 14, 4

supplementary means they add up to 180°

m<4 176, 164, 132, 108, 90, 81, 60,28, 11, 2

9514 1404 393

Answer:

  k = 54/79

Step-by-step explanation:

You can eliminate fractions by multiplying both sides by 12.

  15(2 -k) = 24(3k -1) -8k

  30 -15k = 72k -24 -8k

  54 = 79k

  54/79 = k

Answer:

70%

Step-by-step explanation:

Answer:

6 bricks

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

12 divide by 2 you will get six or skip count by 2 and when you get to 12 count how many numbers you have then you will get the answer

Answer:

the answer would be 7.5 inches long or 7 1/2 inches long

Step-by-step explanation:

2.5 multiplied by 3

Answer: upwards

Step-by-step explanation:

a<0<1 positive, opens up. negative opens down.

Answer:

the answer is 9

Step-by-step explanation:

Answer:

x3-4x2+2x-2

Step-by-step explanation:

The level of radioactivity in the soil is decreasing by a factor of 1/2 each month

Answer:

If you mean y = 4x + 5, then the answer is 5 (the height would be 5 feet)

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

the ratio of songs he liked to disliked was 5:2. if he listened to 91 songs total . Therefore the number of songs liked by the john be 65 songs .

Answer: Choice D) As the side length increases by 1, the area increases and then decreases by an equal factor

=============================================================

Explanation:

Choice A is ruled out because the area does change. As x changes, y changes as well. This rules out choice B as well.

Choice C is somewhat close. However, it's not entirely true since the area doesn't increase by the same amount. For instance, the jump from points (2,18) to (3,24) indicate that the jump in y value is +6. But going from (3,24) to (4,28) shows a jump of +4 in the y value. So we can rule out choice C.

This means that choice D is the final answer.

Answer:

2 solutions, one positive and one negative

Step-by-step explanation:

A positive times a positive is always positive and a negative times a negative is always positive. Example square root of 9 is -3 and 3. 3x3=9 and -3 x -3= 9

Answer:

2/3x^3+1/6x^2

Step-by-step explanation:

Answer: IT should be

Answer:

i

Step-by-step explanation:

Answer:

Select the table that has:

4              3

8              6

20           15

(The right answer!)

Step-by-step explanation:

Answer:

6.27 minutes

Step-by-step explanation:

1/10 of 2.1 is 0.21 and 2.1+0.21=2.31 and if there final time is 3.96 then to find the original time you must add them 2.31+3.96=6.27

Answer:

y=130°

Step-by-step explanation:

180-(90+40)

180-130

50°

y=180°-50°

=130°

Answer:

$97.524

Step-by-step explanation:

Answer:

y=(x+1)^2-6

Step-by-step explanation:

The solution to the exponential expression is given as follows:

x = 34.29.

The exponential expression for this problem is defined as follows:

[tex]10^{\frac{x}{6}} \times 10^{\frac{x}{8}} = 10^{10}[/tex]

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

The sum of the exponents is given as follows:

x/6 + x/8 = 4x/24 + 3x/24 = 7x/24.

Hence the equivalent expression is given as follows:

[tex]10^{\frac{7x}{24}} = 10^{10}[/tex]

The function 10^x is an injective function, hence the value of x is obtained as follows:

7x/24 = 10

7x = 240

x = 240/7

x = 34.29.

More can be learned about exponential expressions at https://brainly.com/question/25537936

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Answer:

[tex]x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

[tex]x^2 + (-1)^2 = 1 + (-1)^2[/tex]

[tex](x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\[/tex]

⇒ take the square root of both sides;

[tex]x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]

Therefore, option B is the right solution.

Answer:

5456

Step-by-step explanation:

i ghaddd