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

Answers

Answer 1

Step-by-step explanation:

The solution and answer are well written in the Pic above.

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

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

What is the value of d?
A)80
B)100
C)84
D)50

Answers

Answer:

100 degrees

Step-by-step explanation:

You can tell by just looking at the picture :)

Help on this question

Answers

Answer:

is it me or can I not see anything

Given the function (Image below) [Algebra ll]

Answers

X= -1 and -11
Put -1 and -11 in for x. The answer comes out 6

Dora travels between the two mile markers shown and then finds her average speed in miles per hour. Select the three equations that represent this situation.

Answers

The image of the 2 mile markers is missing as well as the options and so i have attached them.

Answer:

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Step-by-step explanation:

From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.

Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles

Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.

Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.

We know that;

Speed = distance/time

Thus;

Speed = 105/1.5

Speed = 70 mph

Thus, the 3 equations that represent this situation from the options are;

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Answer:

1.5 hours = 105 miles/speed

Speed = 105 miles/1.5 hours

105 miles = 1.5 hours × speed

Step-by-step explanation:

QUESTION 4
f(x)=4x-10/x-2

4.1 Determine the x- and y-intercepts of
4.2 +9. Write f (x) in the form: f(x) = x - 2 4.3 Draw the graph of y, clearly show the intercepts with the axes and the asymptotes.
4.4 Give the equations of the asymptotes of f(x) + 3.​

Answers

Answer:

4.2+9.Write f (x)in the form:f(x)=x-2 4.3Draw

PLS HELP !!!
a. 15
b. 1
c. 2
d. 11

Answers

Answer:

d

Step-by-step explanation:

ive had this exac problem before

Answer:

B. 1

Step-by-step explanation:

Since the sides are equal to each other, the equations will be equal.

4x + 7 = x + 10

      -7          -7

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

4x= x + 3

-x    -x

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

3x = 3

----   ---

3      3

x = 1

The answer is 1.

Which of the following is equivalent to 2/x + 3/x−1 for x>1 ?

pls explain

Answers

Answer:

Step-by-step explanation:

I need someone to please explain how to turn this into a simplified fraction. (NOTE: please explain!!) __ 3.541 The repeating sign is only above the 41, not the five

Answers

the way to do these recurring decimals is by firstly separating the repeating part or recurring part and then multiply it by some power of 10 so we move it to the left, lemme show

[tex]3.5\overline{41}\implies \cfrac{35.\overline{41}}{10}\qquad \stackrel{\textit{say that the repe}\textit{ating part is }~\hfill }{x = \overline{0.41}\qquad \qquad \textit{so that }35.\overline{41}=35+\overline{0.41}=35+x}[/tex]

now, let's multiply that repeating part by some power of 10 that moves the 41 to the left, well, we have two repeating decimals, 4 and 1, so let's use two zeros, namely 100 or 10², thus

[tex]100\cdot x = 41.\overline{41}\implies 100x - 41+\overline{0.41}\implies 100x = 41+x\implies 99x=41 \\\\\\ \boxed{x =\cfrac{41}{99}}\qquad \qquad \textit{so then we can say that}~~\cfrac{35.\overline{41}}{10}\implies \cfrac{35+\frac{41}{99}}{10} \\\\\\ \cfrac{~~\frac{3506}{99}~~}{10}\implies \cfrac{~~\frac{3506}{99}~~}{\frac{10}{1}}\implies \cfrac{3506}{99}\cdot \cfrac{1}{10}\implies \cfrac{3506}{990}\implies \blacktriangleright \stackrel{\textit{which simplifies to}}{\cfrac{1753}{495}} \blacktriangleleft[/tex]

top cylinder: 6 in, 8 in
botton cube: 9 in, 9 in, 15 in
The volume of this figure is _____ cubic inches.​

Answers

Answer:

1441.08 in^3

Step-by-step explanation:

Volume of rectangular prism = 15 * 9 * 9 = 1215 in^3

radius = 3 in

Volume of the cylinder = 3^2 * 3,14 * 8 = 226.08 in^3

Total volume = 1215 + 226.08 = 1441.08 in^3

Answer:

HJHJGHJHG

Step-by-step explanation:

JGHU45565677689789

I need help with this it’s saying the “blank” Method would be the best for solving this system of equations

6x + 4y=8
-x+4y=12

Answers

Answer:

-12+4y=x..............1

6(-12+4y)+4y=8

-72+24y+4y=8

28y=80

y=3.33

-12+4(3.33)=x

1.32=x

The price of a jacket usually costing £50 is increased to £65.
Work ou the percentage increase.

Answers

Answer:

So the answer is 30%

Step-by-step explanation:

1. For 50 = 15 increase euros

2. For 100 = 15/50 x 100 = 30 increase in euros

3. 30/100 = 30%

OR....

1. Ten percent of 50 is 5.

2. 5x3= 15(increase in euros)

3. 10 percent three times which is equal to 30%.

Solve:








all real numbers


no solution

Please help

Answers

Answer:

In a problem where you

calculate the "solution" to a "system of equations"

one of three things will happen....

#1) you end up with x=3 , or y=7 .. or something like that

  if that happens then there is ONE SOLUTION

#2) you end up with  5=5, or 7=7 , or 0=0

   in this case the lines are the same and you have "all real numbers" as the solution (there are an infinite number of solutions, the lines are the same line)

#3) you end up with 1=2, 0=5, 2=7, etc. this is impossible, there are no solutions ... the lines are parallel

Step-by-step explanation:

Please help me!!! ASAP!

Which table represents a linear function?

A. X. Y
2. -46
4. -18
6. 58

B. X. Y
2. -2
4. 4
6. 14

C. X. Y
2. 11
4. 14
6. 17

D. X. Y
2. -6
4. 6
6. 26

Answers

Answer:

ans is C................

Please help!!
What is the formula that is used for DISCOUNT SALES?

Answers

Answer:

discounted price = original price ( 1 - discount rate)

Step-by-step explanation:

Need answer :))))))))

Answers

Answer:

cost per serving can be used as a result of using your head to think

Solve for 0 or x, round to the nearest tenth.

Answers

Answer:

theta = 44.4 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig formulas

cos theta = opposite/ hypotenuse

cos theta = 15/21

Take the inverse of each side

cos^ -1 (cos theta) = cos ^-1 (15/21)

theta =44.4153086

theta = 44.4 degrees

Answer the questions about the perpendicular bisector below.

Answers

Given:

The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).

To find:

The perpendicular bisector of line segment DO.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of DO is:

[tex]Midpoint=\left(\dfrac{1+7}{2},\dfrac{5+(-1)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(4,2\right)[/tex]

Therefore, the midpoint of DO is (4,2).

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of DO is:

[tex]m=\dfrac{-1-5}{7-1}[/tex]

[tex]m=\dfrac{-6}{6}[/tex]

[tex]m=-1[/tex]

Therefore, the slope of DO is -1.

We know that the product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]m_1\times (-1)=-1[/tex]

[tex]m_1=1[/tex]

The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-2=1(x-4)[/tex]

[tex]y-2+2=x-4+2[/tex]

[tex]y=x-2[/tex]

Therefore, the equation of the perpendicular bisector of DO is [tex]y=x-2[/tex].

expand: 4(w - 2)
(with the steps)​

Answers

Answer:

4w-8

Step-by-step explanation:

4(w-2)

(4*w)-(4*2)

4w-8

Answer:

4w-8

Step-by-step explanation:

4(w - 2)

Distribute

4*w - 4*2

4w-8

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:  6

Explanation:

For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.

The length of x is 6.

What is a right-angled triangle?

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'

According to the given problem,

Perpendicular = 3

Hypotenuse = x

We know,

sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

∅ = 30°

⇒ sin30 = [tex]\frac{3}{x}[/tex]

⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex]  [ sin30 = [tex]\frac{1}{2}[/tex] ]

⇒ x = 3 * 2

⇒ x= 6

Hypotenuse = 6

Applying Pythagoras theorem:

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ 6² = 3² + Base²

⇒ 6² - 3² = Base²

⇒ Base² = 25

⇒ Base = √25

⇒ Base = 5

Hence, we can conclude the value of x to be 6.

Learn more about right-angled triangle here:

https://brainly.com/question/3770177

#SPJ2

Translate the sentence into an equation.
Nine times the sum of a number and 4 is 3.

Answers

9(4+x)=3 expressed in terms

Solve the equation and enter the value of x below. 7(x + 9) + 5 = 96​

Answers

Hello!

[tex]\large\boxed{x = 4}[/tex]

7(x + 9) + 5 = 96

Distribute:

7x + 63 + 5 = 96

Combine like terms:

7x + 68 = 96

Subtract 68 from both sides:

7x = 28

Divide both sides by 7:

x = 4

Answer:

[tex]\fbox{x = 7}[/tex]

Step-by-step explanation:

7(x + 9) + 5 = 96

Solve for x.

7(x + 9 ) + 5 = 96

Step 1 :- Distribute 7.

7 × x + 7 × 9 + 5 = 967x + 63 + 5 = 96

Step 2:- Add 63 and 5.

7x + 68 = 96

Step 3 :- Move constant to the right-hand side and change their sign.

7x = 96 - 68

Step 4 :- Subtract 68 from 96.

7x = 28

Step 5 :- Divide both side by 7.

[tex]\frac{7x}{7} \\ [/tex] = [tex]\frac{ 28} {7}\\[/tex] x = 4

what is the answer to x^2-11=25 please

Answers

Hey there!

[tex]\mathsf{x^2 - 11 = 25}[/tex]

[tex]\large\textsf{ADD 11 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 - 11 + 11 = 25 + 11}[/tex]

[tex]\large\textsf{CANCEL out: -11 + 11 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 25 + 11 because that helps solve for the x-value}[/tex]

[tex]\mathsf{25 + 11 = \bf 36}[/tex]

[tex]\large\textsf{NEW EQUATION: }\mathsf{x^2=36}[/tex]

[tex]\large\textsf{Take the square root of the number (36)}[/tex]

[tex]\mathsf{x = \pm \sqrt{36}}[/tex]

[tex]\mathsf{\pm = \boxed{\bf plus-or-minus}}[/tex]

[tex]\mathsf{x = \sqrt{-36}\rightarrow \bf -6}[/tex]

[tex]\large\textsf{or}[/tex]

[tex]\mathsf{x = \sqrt{36} = \bf 6}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf x = 6 or x = -6}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

x² - 11 = 25

Add 11 to both sides.

x² - 11 + 11 = 25 + 11

Cancle out the 11 because when we add -11 to 11 that gives 0. On other side add 25 and 11 we get 36.

x² = 36

Take the square root of both sides of the equation and remember to use both positive and negative roots.

√x² = ± √36

x = ± 6

Write the solutions, one with a+ sign and one with a- sign.

[tex] x_1 = 6[/tex]

[tex]x_2 = -6[/tex]

This equation has two solutions which are :-

[tex] x_1 = 6[/tex]and [tex]x_2 = -6[/tex]

Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125

Answers

Answer:

7

Step-by-step explanation:

Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In this case:

(4x + 7) + (97) = (17x + 13)

4x + 104 = 17x + 13

4x + 91 = 17x

91 = 13x

7 = x

Question 4 (True/False Worth 4 points)
(0701)
True or False?
is a solution to the inequality 12+2 < 12
True
O False

Answers

I’m not sure what the question is asking but from my understanding, the answer is false.

Explanation:

Because the 12+2 on the left side isn’t less than twelve. This makes it false.

What is 120 US fl oz in US liquid quarts

Answers

3.75 quarts

Brainly plz and thank you

Lol do yu guys know this?? plz help

Answers

Answer: Choice C. 32,768

Explanation:

2.5 hours = 2.5*60 = 150 minutes

150/10 = 15

There are 15 periods that are 10 minutes each in a 2.5 hour timespan.

y = a*b^x

y = 1*2^15

y = 32,768

If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.


10min = double

2.5 hours went pass

2.5hrs = 150 min


Suppose that x - y = 2 and 2x – 3y = 11. Then x + y =

Answers

Answer:

x + y = -12

Step-by-step explanation:

x - y = 2

2x – 3y = 11

-2x +2y = -4

2x – 3y = 11

-y = 7

y  = -7

x = -5

x + y = -12

If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .

Answers

Answer:

[tex]2y^2-7y+6=0[/tex]

Step-by-step explanation:

We are given that [tex]\alpha[/tex] and [tex]\beta[/tex] are the zeroes of the polynomial [tex]6y^2-7y+2[/tex]

[tex]y^2-\frac{7}{6}y+\frac{1}{3}[/tex]

We have to find a quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex].

General quadratic equation

[tex]x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes[/tex]

We get

[tex]\alpha+\beta=\frac{7}{6}[/tex]

[tex]\alpha \beta=\frac{1}{3}[/tex]

[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}[/tex]

[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}[/tex]

[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2[/tex]

[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}[/tex]

[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3[/tex]

Substitute the values

[tex]y^2-(7/2)y+3=0[/tex]

[tex]2y^2-7y+6=0[/tex]

Hence, the quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex] is given by

[tex]2y^2-7y+6=0[/tex]

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

Answers

Answer:

Step-by-step explanation:

so they used  a total of  560  units

we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula

0.1(x-360+54)

0.1(560-360) + 54 = monthly bill

20+54 = monthly bill

74 = monthly bill

answer D looks good

5x+1=2x-5
I need help

Answers

Answer:

x =-2

Step-by-step explanation:

5x+1=2x-5

Subtract 2x from each side

5x-2x+1=2x-2x-5

3x+1 = -5

Subtract 1 from each side

3x+1-1 = -5-1

3x=-6

Divide by 3

3x/3 = -6/3

x = -2

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