the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__​

Answers

Answer 1

Answer:-

[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]

Explanation:-

P(x,y)O(0,0)

We know distance formula

[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]


Related Questions

Solve for X. Geometry

Answers

Answer:

x=12

Step-by-step explanation:

QS=QR+RS

2x-11=7+x-6

x=12

what is the equation in slope intercept form 3 y - 9= 12x
Please help I need to turn it in.

Answers

Answer:

y=4x+3

Step-by-step explanation:

3y-9=12x

+9      +9

3y=12x+9

/3      /3

y=4x+3

Answer: y = 4x + 3

Explanation:

3y = 12x + 9 (i moved the constant to the right-hand side and change its sign.)

y = 4x + 3 (i divided both sides of the equation by 3 and got y = 4x + 3)

Find the commission on a sale of $600 with a 5% commission rate.

Answers

Answer: $30

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

10% of 600 = 60

5% of 600 = 30

A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?

Answers

Answer:

salt: pepper

4 :   3

Step-by-step explanation:

salt: pepper

2/3  : 1/2

Multiply each by 6

2/3 *6 : 1/2 *6

4 :   3

An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet

Answers

Answer:

the answer is 5×3+11×5 feet

Answer:

4th option

Step-by-step explanation:

An equilateral triangle has 3 congruent sides

Divide the perimeter by 3 for length of side

[tex]\frac{15x^3+33x^5}{3}[/tex]

= [tex]\frac{15x^3}{3}[/tex] + [tex]\frac{33x^5}{3}[/tex]

= 5x³ + 11[tex]x^{5}[/tex] ← length of 1 side

If LM = x + 3, MN = 2x and LN = 24, what does x equal

Answers

Answer:

[tex]\displaystyle 7 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle 24 = [3 + x] + 2x → 24 = 3 + 3x → \frac{21}{3} = \frac{3x}{3} \\ \\ 7 = x[/tex]

I am joyous to assist you at any time.

I need help finding the domain and range of y+9x=15

Answers

Answer:

domain) all real numbers

range) all real numbers

Step-by-step explanation:

y=15-9x

there are no illegal values for x that would make the equation invalid so domain is all real numbers

this line is not flat so range is also all real numbers

Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10

Answers

Answer:

8 sqrt(10)

Step-by-step explanation:

2 sqrt(8) * sqrt(20)

We know sqrt(a) * sqrt(b) = sqrt(ab)

2 sqrt(8) * sqrt(20)

2 sqrt(160)

2 sqrt(16*10)

2 sqrt(16) sqrt(10)

2 *4 sqrt(10)

8 sqrt(10)

Answer:

First, we can write 2√8 as 2 x √8. This will make the next calculations easier.

So the problem becomes 2 x √8 x √20.  

We can group together √8 and √20, to get √160.

And we have: 2√160.

However, this can be simplified further, as 16x10 = 160, and so we obtain the  final answer of 8√10.

C is correct.

find the volume of each figure. Round to the nearest tenth if necessary.​

Answers

Answer:

1385.4

Step-by-step explanation:

Volume=pi*r^2*h=pi*49*9=1385.4

what is the equation of the graph ?

Answers

Answer:

what graph

Step-by-step explanation:

What effect will replacing x with (x - 4) have on the graph of the equation y = (x - 3) ^ 2 ?

a. slides the graph 7 units down
b. slides the graph 4 units up
c. slides the graph 1 unit right
d. slides the graph 4 units right

Answers

Answer:

d. slides the graph 4 units right

Step-by-step explanation:

When you replace x with x - h, the graph shifts h units horizontally.

Here, the replacement is x - 4.

Compare x - 4 to x - h.

h = 4

The shift is 4 units right.

Answer: d. slides the graph 4 units right


You drive 132 miles in 3 hours. At
that speed, how many hours would it take you to drive 110 miles?

Answers

Answer and Step-by-step explanation:

To solve, we need to find how many miles are driven in an hour.

Divide 132 by 3.

132/3 = 44

Now, we need to find how many hours it would take to drive 110 miles.

[tex]\frac{44 miles}{1 hour} = \frac{110 miles}{? hours} \\\\[/tex]

Cross multiply.

[tex]44(?) = 110[/tex]

Divide by 44.

[tex]? hours = 2.5 hours[/tex]

So, it would take 2.5 hours to drive 110 miles.

#teamtrees #PAW (Plant And Water)

I hope this helps!

round to the nearest place value shown​

Answers

87.3, 213.43, 672, 5980, 12800

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART PLEASE GOVE EXPLANATION?

Answers

Answer:

0.249

Step-by-step explanation:

tan(theta) = opposite / adjacent (according to the SOH CAH TOA rule), which effectively means y/x in this case.

So -0.242 / -.970 ≈ 0.249

Other explanation:

On a unit circle,

y = sin(θ)

and

x = cos(θ).

And since, tan = sin/cos, tan(θ) = y/x. You y and x are given, so calculating tan is a matter of dividing them.

can someone pls help me on number 4

Answers

Answer:

Step-by-step explanation:

Do this by converting the numbers to decimals

9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.

9.770833 feet is the length of the given board.

11.25 inches = 11.25 / 12 = 0.9375 feet

So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.

Therefore there is 10.42222187 board cut up. The decimal is the remainder.

0.42222187 * 12 = 5.066 inches or rounded to 5 inches.

find the area and perimeter of the figure and show work question 30

Answers

Answer:

Perimeter = 24 cm

Area = 27.6 cm²

Step-by-step explanation:

Perimeter = 8 + 8 + 8 = 24 cm

A(Triangle) = 1/2(8)(6.9) = 27.6 cm²

Which of the following sentences is not true?

Smaller numbers are farther left on the number line.
All negative numbers are less than zero.
A negative number with a larger numeral is a larger number.
The symbol > means "greater than."

Answers

Answer:

3rd answer

Step-by-step explanation:

all negative number with a larger numeral is a larger number

Where do I get the second number from? I’m confused lol

Answers

Answer:

(1, 0)

Step-by-step explanation:

You have to follow the horizontal line when the coordinate x=1, until the y-axis, so you'll realize that y=0

Answer:

2/2,0/2 = (1,0)

Step-by-step explanation:

(3,1)(-1,-1)

midpoint (x1+x2)/2,(y1+y2)/2

A length on a map is 7.5 inches. The scale is 1inch & 5 miles. What is the actual distance?

Answers

Answer: Actual distance = 37.5 miles

Step-by-step explanation:

Let x be the actual distance

Given information

Length on map = 7.5 inches

Scale = 1 inch : 5 miles

Set up proportion

[tex]\frac{7.5}{x} =\frac{1}{5}[/tex]

Cross multiply to convert out of fraction form

[tex]7.5*5=1*x[/tex]

[tex]\boxed{x=37.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Refer to Table 20-3.A
3. Accofding to the table, what percent of families in Edgerton have income levels below $69,000?

Select one:
O a. 60 percent.
O b. 80 percent.
O C. 40 percent.
O d. 20 percent.

Answers

Answer:

A. 60 Percent

Step-by-step explanation:

Quintle means 5.

Below $69,000 covers three of the five quntiles (bottom, second, and middle).

3/5 equals .6 or 60%

Correct answer gets brainliest and 5 stars

Answers

Answer:

Does the answer help you?

A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.

Answers

Answer:

??????????????????????????????

inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate

Answers

Answer:

4 hours per each room for 5 people

Step-by-step explanation:

What set of number does the following number belongs to? (1.1A.1a) -√5​

Answers

Answer:

irrational

Step-by-step explanation:

See the image for a Venn diagram illustrating relationships among the various subsets of real numbers.

The sum and product of two numbers x and y are 3 and 1.25 respectively. Form two
equations involving x and y and solve them to obtain the possible values of x and of y.


Please solve thissss pleaseee I have test tomorrow

Answers

Answer:

X+Y=3........(1)

X×Y=1.25........(2)

i) In (1):X+Y=3

X=3-Y.......(3)

ii)Subt (3) in (2)

XY=1.25

(3-Y)Y=1.25

3Y -Y²=1.25

0=Y²-3Y+1.25

[tex] \frac{ - ( - 3) + \sqrt{( - 3) { }^{2} - 4(1)(1.25) } }{2(1)} [/tex]

Y=2.5 OR Y=0.5(when you substitute a minus -)

iii)Substitute the Y values in (3)

C. Write an equation for the situation.

2. The equation y = 7x gives the cost y of x pounds of chicken at the grocery store. Complete the table for the given weights of chicken ​

Answers

Equation representing the relation between the cost and the weight of the chicken has been given as,

y = 7x

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

Learn more about the proportional relation,

https://brainly.com/question/11903729

HELP....PLEASE,USE GEOMETRY!

Answers

Answer:

18[tex]\pi[/tex]

Step-by-step explanation:

area of the "left most" side disk would be [tex]\pi r^{2}[/tex] = 9[tex]\pi[/tex]

the height of the disk is = 2

thus the area would be 18[tex]\pi[/tex] units cubed

Answer:

56.55 units

Step-by-step explanation:

If we rotates this rectangle we will get a cylinder.

The base of this cylinder is a circle with a radius of 3 units (the high of the rectangle).

And the high of this cylinder is 2 units.

Volume of cylinder is given by the formula :

V= h.pi.r²

so V= 2×3.14×9

= 56.55 units

Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?​

Answers

Answer:

12

Step-by-step explanation:

The first number they will both say = L.C.M of (6,4)

=> L.C.M of (6,4) is 12

The first number they will both say is 12

Please help could you explain or show work so I will remember how to do problems like this?

Problem: 4x - (x - 4) = - 20

I desperately need a good grade because this is my first grade.

Correct answer is brainiest!

Answers

Answer:

x = -8

Step-by-step explanation:

4x - (x - 4) = - 20

Distribute the minus sign

4x - x +4 = -20

Combine like terms

3x+4 = -20

Subtract 4 from each side

3x+4-4 = -20-4

3x = -24

Divide by 3

3x/3 = -24/3

x = -8

Answer:

x = -8

Step-by-step explanation:

4x - (x - 4) = -20

~Simplify

4x - x + 4

~Subtract 4 to both sides

3x = -24

~Divide 3 to both sides

x = -8

Best of Luck!

3y-4(5x-3y+y²) expand and simplify​

Answers

There is answer good luck in your homework

Answer:

23x + 12y + -4xy^2

Step-by-step explanation:

So lets first expand

3y (-4 x(5x - 3y + y^2)

let's ignore 3y for now

Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.

note: Capital X = Multiplying symbol

___________________________________

-4 X 5x, -4 X - 3y, -4 X y^2

= -20x + 12y + -4xy^2

now we bring back the 3x

3x - -20x + 12y + -4xy^2

so now we simplify, by finding like terms

= 23x + 12y + -4xy^2

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