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WARRIOR [948]
3 years ago
8

ALGEBRAAA

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

1. The average rate of change is the slope of a line to find it divide the vertical change by the horizontal change


2. recursive is a formula to calculate the next term, depending on what the previous term was

 Explicit is a formula to calculate any term depending on the term number

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Pleaseee help! No files please. thanks! ASAP!
Ainat [17]

Answer:

b

Step-by-step explanation:

use a protractor to mmeasure it

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2 years ago
daniel gets a paycheck every 4 weeks . He works x hours each week how many hours does daniel get paid for on each paycheck
Rama09 [41]
4x=x
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3 years ago
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Identify the standard form of the equation by completing the square.
OLEGan [10]

Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Therefore, this is the standard equation for a horizontal hyperbola with:

  • center = (1, 2)
  • vertices = (-2, 2) and (4, 2)
  • co-vertices = (1, 0) and (1, 4)
  • \textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}
  • \textsf{Foci}: \quad  (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)

4 0
2 years ago
What is the median of the following data set? {5, 2, 9, 7, 4}
Lyrx [107]
<span>A:5 
First you put the numbers in numerical order. whenever there is an odd amount of numbers, the median is the middle number</span>
3 0
4 years ago
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What is the slope of a line through (-3,3) and (-1,1)<br><br> A. 1/2<br> B. 2<br> C. -2<br> D. - 1/2
stealth61 [152]

Answer:

D is the answer

Step-by-step explanation:

8 0
3 years ago
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