does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Answer 1

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle.


Related Questions

calculate the speed, in ms-¹ of vehicle A and of vehicle B​

Answers

9514 1404 393

Answer:

A: 0.32 m/sB: 0.56 m/s

Step-by-step explanation:

The speed is the ratio of the change in distance to the corresponding change in time.

Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...

  A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s

Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...

  B = (28 m)/(50 s) = 0.56 m/s

It is Keke’s birthday, and her parents want to surprise her with a room full of balloons. Use the Fermi process
to estimate the number of balloons needed to fill Keke’s living room. Assume the living room is a rectangular
prism with a length of 30 feet, a width of 45 feet, and a height of 11 feet. Assume the balloons are spheres
with a radius of 0.45 feet. Show your work

Answers

Answer:

im not sure sorry .

Step-by-step explanation:

HELP ME PLS I NEEDA GET THIS RIGHT PLS PLS ITS PYTHAGOREAN THEOREM

Answers

2.8 mm

2mm^2=4mm

4mm+4mm = 8mm

square root of 8mm is 2sqrt2

2sqrt 2 is 2.8 mm

Please show your work
[tex]1\frac{2}{3} + 2\frac{3}{4}[/tex]

Answers

Answer:

[tex]→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓[/tex]

53/12 is the right answer.

Steps:

1 2/3 + 2 3/4 can also be written as...

5/3 + 11/4

The LCD is 12 so we make both fractions have a denominator of 12.

That gives us 20/12+33/12

Now you can add the numerators (but leave the denominator the same)

That gives us 53/12, but our simplified version would give us 4 5/12 as our final answer.

Answer:

[tex]4\frac{5}{12\\}[/tex]

Please mark brainliest if that helps!

Jenn starts out with $2000 in her bank account. On average, she spends $150 a week from her account. At that rate, how many weeks will it take her to run out of money?

Answers

Answer:

About 13 weeks

Step-by-step explanation:

3x - 2y = 16 and x - 2y = 4 (any method <3)​

Answers

Answer:   (x, y) = (6, 1)

This means x = 6 and y = 1

==========================================================

Explanation:

I'll use the substitution method to solve this system.

Let's solve the second equation for x

x-2y = 4

x = 4+2y

Then plug that into the first equation so we can solve for y.

3x - 2y = 16

3(4+2y) - 2y = 16 ... x replaced with 4+2y

12+6y - 2y = 16

12 + 4y = 16

4y = 16-12

4y = 4

y = 4/4

y = 1

Lastly, use this y value to find x

x = 4 + 2y

x = 4 + 2(1)

x = 6

The solution as an ordered pair is (x, y) = (6, 1)

---------------------------------

Checking the answer:

Plug those x,y coordinates into the first equation

3x - 2y = 16

3(6) - 2(1) = 16

18 - 2 = 16

16 = 16

That confirms the first equation. Repeat for the second equation

x - 2y = 4

6 - 2(1) = 4

6 - 2 = 4

4 = 4

Both equations are confirmed.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

It should be c 4,-5

hope it helps

Answer:

c. (4,-5)

Step-by-step explanation:

Point K is currently at (4,5). If reflected about x, the x-coordinate remains 4 and the y-coordinate becomes -5. Giving the answer (4,-5)

If the circumference of a right cylinder is tripled, the volume will increase by a factor of _____.

Answers

Answer:the answer is 9

Step-by-step explanation:

please answer this!!!

Answers

Answer:

C 20

Step-by-step explanation:

use sine law

Answer:

C, 20

Step-by-step explanation:

Angle c= 30

side AC= 40

sin(30)=x/40

40sin(30)=x

x=20

HELP PLEASE!!
Which best describes the relationship between the lines
with equations -3x – 4y = 1 and -6x – 8y = 2?
A. Perpendicular
B. Neither perpendicular or parallel
C. Parallel
D. Same line

Answers

Answer:

same line

Step-by-step explanation:

its the exact same equation, but the second is multiplied by 2

The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?

Answers

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

[tex]Area = Length \times Width[/tex]

Rectangle (a)

[tex]Area = 4x \times 4[/tex]

[tex]Area = 16x[/tex]

Rectangle (b)

[tex]Area = 11 \times x[/tex]

[tex]Area = 11x[/tex]

Rectangle (c)

[tex]Area = 2 \times 8x[/tex]

[tex]Area = 16x[/tex]

Rectangle (d)

[tex]Area = 16x \times 1[/tex]

[tex]Area = 16x[/tex]

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

https://brainly.com/question/14383947

14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks)

Answers

I dont think anyones gonna be helping you bud Ill repost the question for you and come back with the answer nobodys helpful rn and I dont know it myself really

Help me please. I don't understand geometry.

Answers

Answer: ~p ~q.

Explanation: The inverse is "If ~p then ~q." Symbolically, the inverse of p q is ~p ~q.

Does anyone know the answer plz ?

Answers

Answer:The answer is true

Step-by-step explanation:

(I hope this helped you) :)

a horizontally laid standard weight pipe has a diameter of 10 inches and is 12 feet long. The pipe is filled 9 inches high with water. How many gallons of water does the pipe hold? (Round your answer to the nearest gallon.) Please help.

Answers

Answer:

d isósceles hijo muy graciosa ya no me acuerdo de nada y tu q ases hablas con el

Which angle in ABC has the largest measure?

A. B. C. D. Cannot be determined

Answers

Answer:

< B has the largest angle measure.

as it is opposite to longest side of triangle.

Which graph represents a decreasing trend

Answers

Answer:

Excuse me! plz provide the graphs 2.

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.

Answers

Answer:

1/4

Step-by-step explanation:

Count all of the vowels (this will be your numerator):

A and E

2

Count all of the letters (this will be your denominator):

A, B, C, D, E, F, G, and H

8

Write this as a fraction:

2/8

Simplify:

2/8 = 1/4

HELPPP

Which shapes have the greatest area?
(Select all that apply.)

Answers

Answer is 1st and 3rd shape

Whose area is 4 units

Answered by Gauthmath must click thanks and mark brainliest

the Marked price of a book is rupees 160 if it is sold at 15% discount find the discount amount and selling price​

Answers

answer is 15%

Step-by-step explanation:

cost prices of book =160

selling prices of book =136

now,rate of discount =loss% (as discount only leads to some kind of loss)

so CP>SP

so loss=CP-SP =160-136=24

loss%= (loss/CP)÷100

=(24/160)÷100

=15%

so rate of discount =15%

Find C to two decimal places and find the measurement of angle be use your calculator

Answers

Let's solve

P=8B=5

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]

[tex]\\ \sf\longmapsto c^2=64+25[/tex]

[tex]\\ \sf\longmapsto c^2=89[/tex]

[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]

[tex]\\ \sf\longmapsto c\approx 9.22[/tex]

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?

Answers

Step-by-step explanation:

jsndmdmsmsnananansndbdbnd

Using the graph, determine the equation of the axis of symmetry.​

Answers

Answer:

x = 6

Step-by-step explanation:

The axis of symmetry passes through the vertex of the graph

It is a vertical line with equation

x = c ( c is the x- coordinate of the vertex )

vertex = (6, 1 ) with x- coordinate 6 , then

equation of axis of symmetry is x = 6

The circumference of a circle is 16πw⁴.

Derive an expression for the area in terms of pi and w

Answers

Answer:

A = Pi (8 w**4)**2

Step-by-step explanation:

C = 16 Pi w**4 (given)

C = 2 Pi R (stand forula)

So then find R in terms of w by settting C = C from above

2 Pi r = 16 Pi w**4

2R = 16 w**4

R = 8 w**4

SO

A = Pi R**2

A = Pi (8 w**4)**2

A math teacher claims that the students' test scores are directly proportional to the amount of time spent studying. Amy studies 17 hours for a test and gets a score of 68. At this rate, how many hours would she have to study to get a score of 97?

Answers

Answer:

97/4 = 24.25 hours

Step-by-step explanation:

68 = 17x

x = 68/17 = 4

simplify (4+√3)(4-√3)

Answers

Answer:

13

Step-by-step explanation:

(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13

Answer:

Step-by-step explanation:

(a + b)(a -b) =a² - b²

a = 4 and  b = √3

(4 + √3)(4 - √3)= 4² - (√3)²

                        = 16 - √3*√3

                        = 16 - 3

                        =  13

Find the equivalent exponential expression.
(4^2)4

Answers

Answer:

4^8

Step-by-step explanation:

If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.

(4^2)^4 = 4^(2 * 4) = 4^8

Solve A = 1/2bh for h

Answers

Answer:

2A /b = h

Step-by-step explanation:

A = 1/2 bh

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A /b = h

The data below are the test scores of the students in a math class.
97, 76, 84, 82, 90, 95, 77, 79, 80, 82, 84, 77, 100, 78, 87
Create a stem-and-leaf plot to represent the data.

how???​

Answers

First, we can order the set in ascending order to get

76,77, 77, 78,79, 82, 82 ,84, 84, 87, 90, 95, 97, 100.

A stem-and-leaf plot has the tens digits on the left side, and the units digits on  the right side, so this set would look like

7   |   6, 7, 7, 8, 9

8   |   2, 2, 4, 4, 7

9   |   0, 5, 7

10  |   0

Which of the following are valid probability distributions?

Answers

Answer:

Step-by-step explanation:

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