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 .

Answer 2

Answer:

these points lie INSIDE THE CIRCLE

Hope it helps

have a nice day

Does The Point (-4, 2) Lie Inside Or Outside Or On The Circle X^2 + Y^2 = 25?

Related Questions

Atlanta's population is growing at a rate of 2.9% per year while Detroit's population is declining at 1.1% per year. Describe what this means.

PLSSS HELPPP!!!!!

Answers

Answer:

Every year, the population is increasing by a certain amount. This type of continuous growth is increasing at an increasing rate. Exponential growth.

Step-by-step explanation:

Let's say the population of Atlanta was 100,000 in year 0. At the end of year 1, it would have grown 3%. 100,000 * 103% = 103,000.

103% because if it were 3%, the population would be shrinking.

at the end of year 2, you take the ending amount of year 1, 103,000*103%=106,090.

Exponential growth is everywhere in the world, population sizes, production, intelligence. The formula f(x)=a(1+r)^x :

f(x): the amount in x years.

a: The starting population.

r: The yearly growth rate.

x: How many years.

If you are given months, convert from years to months.

For example: Detroit is expected to grow 1.1% each year until the year 2029. This means that 8 years would have passed, 2029-2021. You take the starting population, which is roughly 675,000 as of now and input into the exponential formula equation.

f(8)=675,000(1+.011)^8 = 736,738 (Population of Detroit in the year 2029).

.011 because 1.1% is converted to decimal form.

Suppose f (x) = x². Find the graph of
f(x - 2).
Click on the correct answer
2
3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4

Answers

Answer:  Graph 2

Explanation:

The graph of f(x) = x^2 is a parabola with the vertex at the origin. If we replace every x with x-2, then we shift the xy axis 2 units to the left, giving the illusion the parabola shifts 2 units to the right.

In short, going from y = x^2 to y = (x-2)^2 means we shift the curve 2 units to the right. This is shown in the second graph.

On Monday, a local hamburger shop sold a combined total of 456 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?​

Answers

Answer:

114 hamburger

Step-by-step explanation:

456:4=114

the cheeseburger sold 3 times than the hamburger so 3+1=4

456:4 =114

Help fast
Luke and Owen have \$100$100dollar sign, 100 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Luke was suspicious, so he invested \$10$10dollar sign, 10 only, but Owen invested his entire \$100$100dollar sign, 100. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Owen invested all of the money returned to him, and Luke invested the money returned to him and the remaining \$90$90dollar sign, 90. Again, they got a sum rrr times as great as what they invested. In the end, Owen had \$337.50$337.50dollar sign, 337, point, 50 more than Luke.
Write an equation in terms of rrr that models the situation.

Answers

An equation in terms of r which models the situation described is : 100r² = 10r² + 90r - 337.50

First investment :

Luke:

Total amount had = $100

Amount invested = $10

Amount left = $100 - $10 = $90

Return = r times the amount invested = (10 × r) = 10r

Owen:

Total amount had = $100

Amount invested = $100

Return = r times the amount invested = (100 × r) = 100r

Second investment :

Luke :

Amount invested = Return on first + amount left = 10r + 90

Return is r times the amount invested :

Return on second investment = (10r + 90) × r = (10r² + 90r)

Total amount earned after both investment = 10r² + 90r

Owen :

Amount invested = Return on first = 100r

Return is r times the amount invested :

Return on second investment = (100r × r) = 100r²

Total amount earned after both investment = 100r²

Owen made 337.50 more than Luke ; This means that :

Total earned by Owen = Total earned by Luke + 337.50

100r² = 10r² + 90r + 337.50

Hence, the equation in terms of r is : 100r² = 10r² + 90r - 337.50

Learn more : https://brainly.com/question/18796573

Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)

Answers

Answer:

1). 6x - 14    2). y = 1x + 1       3). y = -4x + 22     4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1      4 - (-2) / 3-2         = 6

y = 6x + b           4 = 6(3) + b      4 = 18 + b        -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3)      = 1

y = 1x + b        2 = 1(1) + b     2 = 1 + b    1 = b

y = 1x + 1

3).  2 - 6 / 5 - 4      = -4

y = -4x + b      6 = -4(4) + b      6 = -16 + b       22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5      = -7/2

y = -7/2x + 51/2

which point is a solution to y>2x-1?

Answers

Answer:

B) (0,2)

Step-by-step explanation:

We substitute the values of x and y into this inequality:

2 ≥ 2(0)-1

2 ≥ 0-1

2 ≥ -1

This is true, so this is the correct point

hope this helps have a good day

Answer:

there it is

Step-by-step explanation:

What is the vertex form of the quadratic function that has a vertex at (5, 4)
and goes through the point (6, 1)?
O A. y= (x - 5)2 + 4
B. y=-3(x - 5)2 + 4
C. y = 3(x - 5)2 + 4
O D. y = 5(x - 5)2 - 3

Answers

Tbh I’m not sure
I think it’s D-y=5(x - 5)2 - 3
I’m sorry if this is wrong

The measure of an angle formed by _blank_ is half the sum of the measures of the intercepted arcs

Answers

Answer:

The measure of an angle formed by Intersecting chords is half the sum of the measures of the intercepted arcs.

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

HOPE IT HELPS

HAVE A GREAT DAY!!

Answer:

Intersecting Chords

Step-by-step explanation:

plz help me with this math and also explain

Answers

Step-by-step explanation:

[1]

SI = $250Rate (R) = 12[tex] \sf \dfrac{1}{2}[/tex] %Time (t) = 4 years

[tex]\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 \times 100 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { 25000 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { \dfrac{25000}{50} = P } \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\ [/tex]

Therefore principal is $500.

__________________

[2]

2/7 of the balls are red.3/5 of the balls are blue.Rest are yellow.Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

[tex]\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ 31x + 1260= 35x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 35x-31x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 4x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\ [/tex]

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\ [/tex]

If f(x) = 3x + 10 and g(x) = 2x - 4, find (f+g)(x).
O A. (f+g)(x) = -34 - 2x - 14
B. (f+ g)(x) = 3x - 2x + 14
O C. (f+ g)(x) = 5x + 6
D. (f+ g)(x) = 3x + 2x + 6

Help! I’m getting really confused which one it is

Answers

Answer:

O D

Step-by-step explanation:

f+g(x)

3x+10+2x-4

3x +2x+6

how do I solve this question (step by step)?

Answers

Answer:

see explanation

Step-by-step explanation:

Angles on the circumference subtended on the same arc are equal

Angle at the centre is twice the angle at the circumference subtended on the same arc.

Then

∠ BAC = ∠ BDC = 29°

∠ BOC = 2 × ∠ BDC = 2 × 29° = 58°

Olivia bought 525 Euros at an exchange rate of $1.76/Euro. How many Canadian dollars did she pay for the Euros she bought?

Answers

the total amount of money for the price of one euro is equal to 1.76                         [tex]\displaystyle\bf 525\cdot1.76=\underbrace{0,44\cdot 4}_{1.76}\cdot 525=2100\cdot0,44=21\cdot 44=924$\\\\Answer:She can exchange \underline{924\$ }for 525 euros[/tex]

Which descriptions from the list below accurately describe the relationship between QRS and TUV? check all the apply.

Answers

Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

Learn more about the triangle visit;

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Can someone help with 13 and 14

Answers

Step-by-step explanation:

Question 13 :-

-4c³ . 7d² . 2c -²( -4c ³ - ² ) . 7d² -4c . 7d²-28cd²

Question 14 :-

n-⁴ w⁰n-⁴ . 1 n -⁴

Answer:

13.) -56cd²

14.) n-⁴

Step-by-step explanation:

Question 13 :- -4c³• 7d² • 2c-²

-4c³• 7d² • 2c-²

Calculate the products.

-4•7•2 c³ d²c-²-56c³ d²c-²

Multiplying the terms with the same base by adding their exponents.

-56c³-²d²

Calculate the exponents.

-56cd²

Question 14 :- n-⁴w⁰

n-⁴w⁰

Any non - zero expression raised to the power 0 equals 1.

n-⁴ 1

Any expression multiplied by 1 remains the same.

n-⁴

Find the values of x and y from the following equal ordered pairs. a) (x,-2) = (4,y) b) (3x, 4) = (6, 2y) c) (2x-1, y + 2) = (-1,2) d) (2x + 4, y + 5) = (3x + 3,6) e) (x + y,y + 3) = (6, 2y) f) (x + y, x - y) - (8,0)​

Answers

Answer:

a)

x=4, y=-2

b)

x=2, y=2

c)

x=0, y=0

d)

x=1, y=1

e)

x=3, y=3

f)

x=4, y=4

Step-by-step explanation:

a) (x,-2) = (4,y)

x=4

y=-2

b) (3x, 4) = (6, 2y)

3x=6 => x=2

2y=4 => y=2

c) (2x-1, y + 2) = (-1,2)

2x-1 =-1 => x=0

y+2 = 2 => y=0

d) (2x + 4, y + 5) = (3x + 3,6)

2x+4 = 3x+3 => x=1

y+5 = 6 => y=1

e) (x + y,y + 3) = (6, 2y)

x+y = 6 => x+3 = 6 => x=3

y+3 = 2y => y=3

f) (x + y, x - y) - (8,0)​

x+y = 8 => 2x=8 => x=4

x-y = 0 => x=y => y=4

product of (n+bv^2) (5n+3bv2)

Answers

Answer:

5n² + 8bnv² + 3b²v^4

Step-by-step explanation:

(n+bv²) (5n+3bv²)

5n² + 3bnv² + 5bnv² + 3b²v^4

5n² + 8bnv² + 3b²v^4

hshsjshshsjsksjjsbsbbs bc hd​

Answers

Answer:

its b b b

Step-by-step explanation:

what is the value of x? (3x-14)°=180° [4(x-9)]°=180°

Answers

Answer:

3x-14=180

3x=194

x= 64 2/3

4(x-9)=180

4x-36=180

4x=216

x=54

Hope This Helps!!!

Step-by-step explanation:

(3x-14)°=180°

3x-14=180

3x=180+14

3x=194

x=64.6

[4(x-9)]°=180°

4x-36=180

4x=180+36

4x=216

x=54

Which shape has the greatest number of lines of symmetry?

A. rhombus
B. square
C. rectangle
D. parallelogram

Answers

I believe it’s B. Square
I believe It’s square:) too

A solid box with height 20cm, width 50cm and length 60cm needs to be painted.
The paint costs £0.06 per cm2.
How much will it cost to paint the box?

Answers

Answer:

£624

Step-by-step explanation:

Surface area of a box = 2(length*width + length*height + width*height)

Length = 60 cm

Width = 50 cm

Height = 20 cm

Surface area of a box = 2(length*width + length*height + width*height)

= 2(60*50 + 60*20 + 50*20)

= 2(3000 + 1200 + 1000)

= 2(5,200)

= 10,400 cm²

Surface area of a box = 10,400 cm²

The paint costs = £0.06 per cm²

Total cost of painting the box = 10,400 cm² × £0.06

= £624

Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?

Answers

Answer:

$11.76

Step-by-step explanation:

2.94×4=$11.76

Tommy’s birthday party will cost 11.76 because 2.94 times 4 equals 11.76

Find the number of degrees in the measure of angle x

Answers

Answer: x = 82°

Step-by-step explanation:

The angle on the other side of 108° can be calculated as 180° - 108° = 72°

All angles within a triangle add up to 180°, so the x-value can be found as:

x = 180° - 72° - 26° = 82°

Which of the following is the constant ratio of the relation shown in the table?

Answers

There is no constant ratio

Answer:

hello!

where are you from ?

Step-by-step explanation:

option 4 is correct ...there is no constant ratio.

Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run 777 kilometers per hour!" and Cameron says "I can run 100100100 meters per minute!

Answers

Answer:

Jeff is moving faster.

Step-by-step explanation:

To compare two speeds, first we make them in one unit.

We know that,

1 km/h = 0.2777 m/s

7 km/h = 1.94 m/s

Jeff can run at a speed of 7 km/h i.e. 1.94 m/s while Cameron can run with a speed of 10 m/min or 0.167 m/s.

On comparing 1.94 m/s and 0.167 m/s, we found that Jeff is moving with more speed.

So, Jeff is faster.

Can someone please help me really struggling

Answers

I believe that the slope intercept is y=x+5.
And I don’t know about point slope form, it wasn’t in my standards, I’m sorry.

Answer:

your y-intercept is 5 and your slope is 1 hope this helps with translating into the form you want

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Write using exponents.
5.5.5. b. b. b.b
1 2 3 4 5 6 89
F9 CDI
a|b|x
NEXT QUESTION
O ASK FOR HELP
TURN IT IN

Answers

Answer:

The answer will just be 125b^4

Step-by-step explanation:

Basically multiply 5 by 5 by 5 and then count all of the b’s (4 b’s) and add it to the product as an exponent

Final answer: 125b^4

Help me with this question and do not answer unless you know the answer pls and thank you >:(

Answers

Answer:

1.5 * 1.5 = 2.25 sq miles

Step-by-step explanation:

1.5 * 1.5 = 2.25 sq miles

Which one of these would be geometry or is it none of the above.

Answers

in my opinion i think you are right but i’m not sure but it could be one of those
It is non of the above

A radar station located at ground level picks up a plane flying at a direct distance of 47,440 feet
away. If the angle of elevation from the station to the plane is 29°, what is the altitude of the plane?

Answers

Answer:

22,999 feets

Step-by-step explanation:

Given the solution diagram attached,

The altitude, h of the plane can be solved using trigonometry :

Using :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 47440

Sin 29 = h / 47440

h = 47440 * sin29

h = 22999.368

h = 22,999 feets

The side length of the chessboard is 7 inches. Find the area of the chessboard.

Answers

Answer:

I'm assuming the chessboard is square so 49cm square.

Step-by-step explanation:

Area of a square= side × side

7×7=49

Have a nice day.

The area of the chessboard is 49 square inches, and which side length is 7 inches.

To find the area of the chessboard, we need to calculate the product of its length and width.

In this case, since the chessboard is a square, the length, and width are equal.

Given that the side length of the chessboard is 7 inches, we can calculate the area as follows:

Area of the chessboard = side length x side length

Area of the chessboard = 7 inches x 7 inches

Area of the chessboard = 49 square inches

Therefore, the area of the chessboard is 49 square inches.

Learn more about the area of the square here:

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