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3 years ago

Which pair of equations are examples of inverse operations

Mathematics

1 answer:

Ann [662]3 years ago

8 0

The picture is too small, but which equations can undo each other?
Addition and Subtraction is Inverse Operations
Multiplication and Division is Inverse Operations

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What is the length of the transverse axis (y-2)^2/16 - (x+1)^2/144= 1

Scilla [17]

The length of the transverse axis is 8.

<h3>What is transverse axis length?</h3>

The transverse axis of the hyperbola is the straight line connecting vertices A and A'. The line segment connecting the vertices of a hyperbola is referred to as the transverse axis or AA'.
The hyperbola's equation is expressed as (yk)2b2(xh)2a2=1). The center is (h,k), b defines the transverse axis, and a defines the conjugate axis. The section of a line where a hyperbola's vertices form.

Given the equation of hyperbola: $\frac{(y-2)^{2} }{16}$ $-\frac{(x+1)^{2} }{144 }$ $=1$

Rewrite this equation as $\frac{(y-2)^{2} }{4^{2} }$ $-\frac{(x+1)^{2} }{12^{2} }$ $=1$

When comparing this equation to the common hyperbola equation with a vertical transverse axis is $\frac{(y-k)^{2} }{a^{2} }$ $-\frac{(x+h)^{2} }{b^{2} }$ $=1$

$h = -1$

$k= -2$

$a = 4$

$b = 12$

The length of the transverse axis is $2a = 2*4$

$=8.$

The length of the transverse axis is 8.

To learn more about the length of the transverse axis, refer to:

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2 years ago

PLZ HELP I NEED IT RN OR IMMA FAIL BADLY NO DOWNLOADS PLZ

Lapatulllka [165]

Answer:

A. Point A is the correct answer

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3 years ago

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A system whose graphs have the same slope but different y intercepts

pishuonlain [190]

Parallel Lines is a system whose graphs have the same slope but different y intercepts

5 0

3 years ago

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FINDE THE DOMAIN OF THE FUNCTION g(x)=roots x+7 write your answer using INTERVAL NOTATION.

Anna007 [38]

Answer:

Domain: [-7, ∞)

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

Step 1: Define function

g(x) = √(x + 7)

Step 2: Determine

We know that we cannot have a negative under the square root as it will produce imaginary numbers. Therefore, on a real number scale, the square root can be no less than or equal to 0.

We see from the function that in order to get 0 under the square root, x = -7. If we have x = -8, we would get -1 under the square root, thus giving us an imaginary numbers.

Therefore, our domain is x ≥ -7 or [-7, ∞).

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3 years ago

A square is constructed with an area of 18 square feet. What is the approximate length of one side?

natka813 [3]

Just get a calculator and do 18 divide by 4

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3 years ago

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