10) Determine which of the following are functions. 11) What are the domain and range of the following relation?

Given:

Circle K has its center at (0,0) and a radius of 4.

Point N is at [tex](3,\sqrt{7})[/tex].

To find:

To check whether the point N lies on the circle or not. Then find the other point using symmetry.

Solution:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]       ...(i)

where, (h,k) is center and r is radius.

Circle K has its center at (0,0) and a radius of 4.  Putting h=0, k=0 and r= 4 in (i), to get the equation of circle K.

[tex](x-0)^2+(y-0)^2=4^2[/tex]

[tex]x^2+y^2=16[/tex]       ...(ii)

To check the point [tex]N(3,\sqrt{7})[/tex], put x=3 and [tex]y=\sqrt{7}[/tex] in (ii).

[tex](3)^2+(\sqrt{7})^2=16[/tex]

[tex]9+7=16[/tex]  

[tex]16=16[/tex]  

This statement is true. So. option [tex]N(3,\sqrt{7})[/tex] lies on the circle K.

According to the symmetry about the origin, if (x,y) lies on the graph then (-x,-y) also lies on that graph.

Since the center of the circle is origin, therefore, it is symmetrical about the origin.

Thus, point [tex]P(-3,-\sqrt{7})[/tex] must be on the circle K.

Therefore, the another point on the circle K is [tex]P(-3,-\sqrt{7})[/tex].

Answer: y=3x-8, y=5x-8, and y=2x-8

Step-by-step explanation:

These equations are all lines in slope-intercept form (y=mx+b where b is the y-intercept). y=3x-8, y=5x-8, and y=2x-8 all have -8 as the b value. Therefore, these equations have the same y-intercept.

Answer: [tex]9\ cm\equiv 5\ m[/tex]

Step-by-step explanation:

Given

The actual length of the parking lot is 75 m

length in the drawing is 135 cm

Here, 75 m is equivalent to 135 cm

Using unitary method

[tex]75\ m\equiv 135\ cm[/tex]

[tex]15\ m\equiv 27\ cm[/tex]

[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]

Answer:

b. 2456 * ( 900 + 90 + 2) will give the same answer as 2456 * 992

Hope it will help :)

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

Answer: 4 cubic meters

Step-by-step explanation:

The volume of a cube = a³

4³ = 64

So the length of each length has to be 4 cubic meters.

Answer:

00ehrhrhrhdjrjrhejrjrjrjrjdjdjfjdhdhdhdhrjdjdjd

Answer:

4.85 left

Step-by-step explanation:

Answer:

$4.85

Step-by-step explanation:

Amount John has = $8.50 (Given)

Find amount left after spending on sweet

Sweet = $1.25

Amount left = $8.50 - $1.25 = $7.25

Find amount left after giving to 2 friends:

First friend = $1.20

Second friends = $1.20 x 2 = $2.40

$7.25 - $2.40 = $4.85

Answer: $4.85

Answer:

x=5

Step-by-step explanation:

15-3x=0

15-3*5=0

15-15=0

Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

Answer:

It should be either B or D

Step-by-step explanation:

"President can carry out laws" Please read the information in the lesson instead of posting the question online.

Answer: the anser is B

Step-by-step explanation:

Answer:

m<A is 60 degrees

m<B is 30 degrees

Step-by-step explanation:

As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B

we can substitute (5x+10) and 3x as <A and <B into the equation

so:

5x+10+3x=90

Combine like terms

8x+10=90

subtract 10 from both sides

8x=80

divide by 8

x=10

Now substitute as x

m<A: (5*10+10)=50+10=60 degrees

m<B: (3*10)=30 degrees

Hope this helps!

Answer:

The equation is;

y = -2x - 3

Step-by-step explanation:

If two lines are parallel, then they have an equal value of slope

Mathematically we can generally have the equation of a line written as;

y = mx + c

where m

is slope and c is the y-intercept

In the case of the equation given, the slope of the line is -2

So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)

The point-slope form can be written as;

y-y1 = m(x-x1)

So the equation we want to get is;

y-(-7) = -2(x-2)

y + 7 = -2x + 4

y = -2x + 4 - 7

y = -2x - 3

Answer:

214.

Step-by-step explanation:

According to the table, The number of people that were successful (The row that follows the word "Successful") and not selected (The Column that follows the words "Not selected") were 214 of the candidates.

To find the answer to this question, you have to find where the Row labeled "Successful" and Column labeled "Not Selected" intersect.

I hope this helped!

Answer:

214

Step-by-step explanation:

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

Answer:

60

Step-by-step explanation:

There were 160 votes in total, and we need to figure out how much is 3/8 of it. Therefore, we need to find (3/8)*(160) (of is another word for multiply). The easiest method is to find 1/8 of 160 which is 20, and then multiply it by three to get 60, which is your answer!

I hope this helped, please give brainliest if this is correct! Thank you!

Answer: 15 antique houses

Step-by-step explanation:

New houses : Antique houses

                  4 : 5

                 12 : ?

12 ÷ 4 = 3

Multiply 5 by 3

5 × 3 = 15

12 : 15

There are 15 antique houses.

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

Answer:

C.)

Step-by-step explanation:

You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps

Answer: D

Step-by-step explanation:

Domain is x and Range is y

Answer:

I think it's this one- blocking U.S. ships from entering European ports 2. Thomas Jefferson 3. Battle of Tippacanoe

don't hate me if it's not.

Answer:

[tex]0.109\ \text{acres per pound}[/tex]

Step-by-step explanation:

Given that,

It takes 91 pounds of seed to completely plant a 10-acre field.

We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.

[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]

So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].

Answer:

7.20

Step-by-step explanation:

15% of 48 = 7.20

Answer:

Jordan should leave $7.20 tip

Step-by-step explanation:

%15 off of $48.00 is $40.80; $7.20 + $40.80 = $48.00

✧brainliest appreciated✧

Answer:

560 votes

Step-by-step explanation:

Given that :

Sample votes :

Karim 28 votes ;Marisol 41 ; and Richard 11

Total sample votes = 28 + 41 + 11 = 80

Percentage vote obtained by Karim :

(28 / 80) * 100%

0.35 * 100%

35% of sample votes

Prediction if votes were 1600;

35% of 1600

0.35 * 1600

= 560 votes

Answer:

Yes, GB is parallel to KA, and so are these lines parallel to each other.    I   I

Step-by-step explanation:

There are the same distance away from each other at any given point on the segments/lines.

Answer:

GB is parallel to KA

Step-by-step explanation:

If a line intersects two lines of a triangle, and creates a similar triangle, then the intersection line is parallel to the third side.

Answer: [tex]5.79\times 10^{7}\ \text{Hz}[/tex]

Step-by-step explanation:

Given

Speed of radar wave [tex]v=2\times10^{6}\ m/s[/tex]

the wavelength of radar wave [tex]\lambda =0.0345\ m[/tex]

We know, [tex]velocity=frequency\times wavelength[/tex]

[tex]frequency=\dfrac{\text{velocity}}{\text{wavelength}}[/tex]

[tex]frequency=\dfrac{2\times10^6}{3.45\times10^{-2}}[/tex]

[tex]frequency=5.797\times 10^{7}\ Hz[/tex]

Answer:

A. 12cm

Step-by-step explanation: