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4 years ago

5

Copy and complete the table of each values for each equation

1 answer:

Aleksandr-060686 [28]4 years ago

8 0

Step-by-step explanation:

Given function is y = –x.

Substitute the values of x in the function and find the values of y.

y = –x

At x = –2,

y = –(–2) = 2

At x = –1,

y = –(–1) = 1

At x = 0,

y = –(0) = 0

At x = 1,

y = –1(1) = –1

At x = 2,

y = –(2) = –2

Now, substitute the values of y in the table.

The image of the table is attached below.

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Q4<br> Help pleaseeeeeeee

emmasim [6.3K]

a. The general equation for a circle centered at $(a,b)$ with radius $r$ is

$(x-a)^2+(y-b)^2=r^2$

The described circle has equation

$(x+3)^2+(y+2)^2=r^2$

We know the circle passes through the origin. This means that the equation above holds for $x=0$ and $y=0$ . The distance between any point on the circle and its center is the radius, so we can use this fact to determine $r$ :

$(0+3)^2+(0+2)^2=r^2\implies 9+4=13=r^2\implies r=\sqrt{13}$

So the circle's equation is

$(x+3)^2+(y+2)^2=(\sqrt{13})^2=13$

b. If the distance between point B and the center is less than $\sqrt{13}$ , then B lies inside the circle. If the distance is greater than $\sqrt{13}$ , it falls outside the circle. Otherwise, if the distance is exactly $\sqrt{13}$ , then B lies on the circle.

The distance from B to the center is

$\sqrt{(-1+3)^2+(3+2)^2}=\sqrt{4+25}=\sqrt{29}$

$29>13$ , so $\sqrt{29}>\sqrt{13}$ , which means B falls outside the circle.

5 0

3 years ago

Solve each equation by completing the square. n^2 - 6n + 6 = -2

Law Incorporation [45]

<h3><u>Explanation</u></h3>

Separate the constant out of expression.

$( {n}^{2} - 6n) + 6 = - 2$

Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.

$( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1$

Square Root both sides to get rid the squared expression. Make sure to write plus or minus.

$\sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1$

$n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2$

<h3><u>Answer</u></h3>

$\large \boxed {n = 4,2}$

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3 years ago

A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o

miss Akunina [59]

Answer:

6%

Step-by-step explanation:

3/20=4/x

It is a indirect proportion so we reciprocal,

Then,

3/20=x/40

3×40=20×x

120=20x

x=120/20

x=6

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3 years ago

Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs

uranmaximum [27]

Answer:

240?

Step-by-step explanation:

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3 years ago

Use the drop-down menus to choose steps in order to correctly solve 3+4d−14=15−5d−4d for d.

igomit [66]

3+4d-14=15-5d-4d
4d-11=15-9d
13d=26
d=2

7 0

4 years ago