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3 years ago

Can’t solve this question help plz?

Mathematics

1 answer:

bearhunter [10]3 years ago

7 0

A. 6 51
B. 6 42
C. 34 minutes

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Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)

elena55 [62]

Answer:

Hello

Step-by-step explanation:

The domain is limited with 2 lines parallel: -1 ≤ x ≤ 1

and the disk ? (inside of a circle) of center (0,0) and radius 2

$dom\ f(x,y)=\{(x,y) \in \mathbb{R} ^2 | \ -1\leq x \leq -1\ and \ ( -\sqrt{4-x^2} \leq \ y \leq \sqrt{4-x^2}\ ) \ \}\\$

3 0

2 years ago

Explain how you got the answer

Gnoma [55]

Answer:

$\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }$

Step-by-step explanation:

Given equation is

$x^2 + y^2 -6x-6y -42 = 0$

Adding 42 to both sides

$x^2 + y^2 -6x-6y = 42\\$

Completing squares

$x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42$

Adding (3)² => 9 and (3)² => 9 to both sides

$(x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}$

Comparing it with $(x-h)^2+(y-k)^2 = r^2$ where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = $2\sqrt{15}$

7 0

3 years ago

You want to buy an MP3 player. Your Aunt paid you $20 to mow her lawn and you earn $5 each week

natka813 [3]

Answer:

1. y = 5x + 20

2. $20 the amount you saved mowing your aunt's lawn.

3. 21 weeks

Step-by-step explanation:

1. 5 is the slope because it is the rate. 20 is the y-intercept because that is how much you already have.

2. 20 because that is how much you already have.

3. Since you already have $20, you need to subtract 125 by 20 to get 105. Then you divide 105 by 5 to get 21 weeks.

6 0

3 years ago

Read 2 more answers

What is the name for an 8-sided polygon

Mazyrski [523]

An 8 sided polygon is, an Octagon

8 0

2 years ago

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A line has a slope of -2/5 and passes through the point (10,7) . Write the equation of this line in point-slope form, slope-inte

qaws [65]

$(\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{10})$

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1 year ago