There are two fruit trees located at (3,0) and (−3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.

Answers

Answer 1
Answer: see the attachments for detailed solution

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Suppose an equilateral triangle has sides given by3y - 45y - 182y + 3What is the length of each side of the triangle?A.12B.17C.7D.18
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Which logarithm is equivalent to log3^10 – log3^2?

A type of number that includes rational and irrational numbers is ____

Answers

Answer:

Real number

Step-by-step explanation:

Those are the Real numbers.

Real numbers (R) are the conjoint of Rational Numbers (Q) - those than can be written as a fraction, e.g., 4/3, 80/456, etc. - and Irrational Numbers (I) - those that CAN'T be represented by a fraction, e.g., pi number.

So R = Q ∪ I

I need help with this question! Will mark brainliest :)

Answers

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

All circles are similar to each other.
a. True
b. False

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The given statement is all circles are similar to each other.

A circle is the set of points in a plane that are equidistant from a given point which is known as circle.

Two figures are similar if their corresponding sides are proportional.

Circles are completely dependent on its radius. The radius of any two circles are proportional for any point on the circles.

The statement "All circles are similar to each other" is true.

Therefore the correct option is a.

The statement "All circles are similar to each other" is true.

We know that,

Circles are a type of geometric shape with unique properties that set them apart from other shapes.

The defining feature of a circle is its set of points that are equidistant from a fixed point, known as the center.

This means that circles have a constant diameter and radii, regardless of their size.

Additionally, a circle's circumference is always proportional to its diameter, which is represented by the mathematical constant π.

Due to these consistent properties, all circles are considered to be similar to each other.

This means that any two circles have the same shape, but may differ in size.

Hence,

The statement that all circles are similar to each other is a fundamental truth in geometry and mathematics.

Learn more about the circle visit:

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Yvette is trying to calculate the distance between point C(1, 2) and point D(7, 10). Which of the following expressions will she use? square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared square root of the quantity of 10 minus 1 all squared plus 7 minus 2 all squared square root of the quantity of 10 minus 7 all squared plus 2 minus 1 all squared square root of the quantity of 7 minus 10 all squared plus 1 minus 2 all squared

Answers

So this can be solve using the distance formula: D = sqrt [ (x2 – x1)^2 + (y2 – y1)^2] So the expression she should use is: D = sqrt [ (7 – 1)^2 + (10 – 2)^2] Then the answer would be: D = sqrt [ (6)^2 + (8)^2] D = 10

Answer:

square root of the quantity of 10 minus 2 all squared plus 7 minus 1 all squared

Step-by-step explanation:

12overx+7=13over X what's the answer

Answers

12/x + 7 =13/x, where x is not 0;
<=> 12 + 7x = 13 <=> 7x = 1 <=> x = 1/7;

Answer:

lalalalalalalalalala

Step-by-step explanation:

Write the explicit rule.

-21, -51, -81, -111, -141

Answers

Answer:

aₙ = - 30n + 9

Step-by-step explanation:

You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.

aₙ = a₁ + (n - 1)d

= - 21 + (n - 1) * - 30

= - 21 - 30n + 30

= - 30n + 9

Your solution would be option d. aₙ = - 30n + 9