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Arisa [49]
2 years ago
6

Plot the vertex, focus, and directrix for the parabola represented by this equation. X=-1/12(y-2)^2+1

Mathematics
1 answer:
alukav5142 [94]2 years ago
5 0

The vertex of the parabola is (1, 2), focus of the parabola is  (-2, 2), and directrix x = 4.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabola equation:

\rm x = -\dfrac{1}{12}(y-2)^2+1

The standard form of the parabola:

\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h

(h, k) is the vertex of the parabola and (f, k) is the focus.

\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1

h = 1, k =2, and f = -2

The directrix is x = 4

Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

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Plz help me well mark brainliest if you are correct!
alekssr [168]

Answer:

The line segment RU

Step-by-step explanation:

The radius of a circle is defined as the distance from the center to the edge. Since answer D represents that definition, it is a radius.

5 0
3 years ago
Read 2 more answers
Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

\sqrt[3]{}(x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

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8 0
1 year ago
Pls help asap ಠ╭╮ಠ i need your help plssssss
FrozenT [24]

Answer:

g

just pick it

3 0
3 years ago
What is the value of x?<br> 2 units<br> 3 units<br> 5 units<br> 8 units
irinina [24]

Answer:B

Step-by-step explanation:

5 0
3 years ago
10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
Tju [1.3M]

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

5 0
3 years ago
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