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Stells [14]
3 years ago
9

Pls help :(((((((((((

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Domain : {1, 2, 3, 4}

Range : {3, 6, 9, 12}


hope that helps :)

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Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by
Anna11 [10]

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

Read more about quadratic functions at:

brainly.com/question/1497716

7 0
2 years ago
Use the given information to determine the exact trigonometric value.
iren [92.7K]

its C

Step-by-step explanation:

- 2\sqrt5

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7 0
2 years ago
What is the circumference of the circle if r = 3,5 feet?
Nady [450]

Answer:

21.98

Step-by-step explanation:

C=2πr C=2d are the formulas of circumference so that would mean the diameter of the circle is 7 since 2 times the radius is the diameter. We then multiply the diameter 7 by PI to get 21.98

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First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
5 0
3 years ago
Rachel drew the two graphs below. Graph R On a coordinate plane, a line goes through points (0, 0) and (2, 1). Graph S On a coor
fgiga [73]

Answer:d

Step-by-step explanation:

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2 years ago
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