Circle O is centered on the origin with a diameter of 14 units. Determine if the point (−3,2√10) is on the circle. Explain your reasoning.

Answers

Answer 1

Answer:

Determine the equation of the circle.

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

center = (0, 0)diameter = 14
⇒ radius = 14 ÷ 2 = 7

Substitute the given values into the formula to determine the equation of the circle:

[tex]\implies (x-0)^2+(y-0)^2=7^2[/tex]

[tex]\implies x^2+y^2=49[/tex]

Given point:  [tex](-3,2\sqrt{10})[/tex]

Input the x and y values of the given point into the derived circle equation.  If it equals 49, then the point is on the circle:

[tex]\implies (-3)^2+(2 \sqrt{10})^2=9+40=49[/tex]

Therefore, the given point is on the circle centered at the origin with a diameter of 14 units.


Related Questions

I NEED HELP ASAP PLEASE

Answers

Answer:

10, 20, 15

Step-by-step explanation:

10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10

so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15

Please answer this! I could not figure it out. Neither could my classmates.

Answers

Answer:

[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]

Explanation:

[tex]\rightarrow \sf 3x - 5y = -10[/tex]

[tex]\rightarrow \sf - 5y = -10-3x[/tex]

[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]

[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]

Comparing it with slope intercept formula: y = mx + b

where m is the slope, b is y intercept

Identify the slope for this function:

[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]

Then perpendicular slope shall be negatively inverse:

[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]

Answer:

D

Step-by-step explanation: i got it right

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

15.9

Step-by-step explanation:

x^2 + 6^2 = 17^2

x squared + 36 = 289

                  -36     -36

x squared = 253

[tex]\sqrt{x}[/tex] = [tex]\sqrt{x}[/tex]253

x = 15.9

Answer:

18.0

Step-by-step explanation:

17^2+6^2= 289 + 36=325

The square root of 325 is 18.02 and when you round 18.02 to the nearest tenth it would give you an answer of 18.0.

Round your answers to the nearest tenth.
B
a
15
b
47°
B =
a =
b =

Answers

Answer:

  B = 43°

  a = 11.0

  b = 10.2

Step-by-step explanation:

The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

Applied to this triangle, the unknown sides can be found from ...

  sin(47°) = a/15

  a = 15·sin(47°) ≈ 11.0

and

  cos(47°) = b/15

  b = 15·cos(47°) ≈ 10.2

__

The second acute angle in a right triangle is the complement of the first:

  B = 90° -47° = 43°

Find the volume of a pyramid with a square base, where the area of the base is 5.5\text{ cm}^25.5 cm
2
and the height of the pyramid is 6.4\text{ cm}6.4 cm. round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

  17.3 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height.

__

The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...

  V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³

The volume of the pyramid is about 17.3 cm³.

SOMEBODY HELP ME PLEASE

Answers

Answer:

68

Step-by-step explanation:

the interior angles of a triangle always adds up to 180. So if you add 59 and  

53 together you would get 112. Then subtract that from 180 and you would get 68.

Help me please I forgot how to do this

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

Find the volume for this figure. Use 3.14 for (pie)
A)1,656 mm
B) 1,092 mm
C) 1,250 mm
D) 1,800 mm

Answers

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7

The ratio 5 girls to 3 boys in couris . there are 24 boys how many many girls are there

Answers

Answer:

40

Step-by-step explanation:

24 divided by 3 is 8. 8 multiplied by 5 is 40.

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Answers

Answer:

y = 7.5[tex]\sqrt{x}[/tex]

Step-by-step explanation:

given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion

Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '

Answers

Answer:

28cm

Step-by-step explanation:

Given that;

14cm = 5m

x = 10m

cross multiply

5x = 140

divide both side by (5)

[tex] \frac{5x}{5} = \frac{140}{5} [/tex]

:- x = 28cm

Find the distance between points p(6, 2) and q(-3, 8) to the nearest tenth.

Answers

Answer:The distance is 10.8

Step-by-step explanation:

Write a quadratic equation that has only one real-number solution

Answers

The equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

If the quadratic equation has only one solution, then

[tex]\rm b^2 - 4ac = 0[/tex]   or

[tex]\rm b^2 = 4ac[/tex]

[tex]\rm x = \dfrac{-b}{2a}[/tex]

2ax = - b

(2ax+b) = 0

(2ax+b)² = 0  (square on both sides)

[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]

Thus, the equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

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Question 11 of 25
Does this table represent a function? Why or why not?
X
y
2
1
4
3
6
3
8
4
10
6
A. Yes, because all of the x-values correspond to one or more
y-values.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because every x-value corresponds to exactly one y-value.

Answers

Answer: Let's put the chart into ordered pairs:

(x, y)

(2,1)

(3,4)

(3,3)

(4,2)

(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.

The answer options may be mis-written.

The answer is no, because one x value corresponds to more than one y-value.

Have a great day!

and night..

;).

Step-by-step explanation:

h(n)=63⋅(− 3 1 ​ ) n h, left parenthesis, n, right parenthesis, equals, 63, dot, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis, start superscript, n, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.

Answers

The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

How to complete the recursive function?

The function is given as:

[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]

Set n to 0

[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]

Evaluate

h(0) = 63

This means that the function h(n) has the following parameters:

First term = 63

Rate = -1/3

Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

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Did I solve this problem correctly?

Answers

Answer:

yes

Step-by-step explanation:

yeah i think you did

Determine the interval (s) on which the given function is increasing

Answers

Answer:

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Step-by-step explanation:

A function is increasing when its gradient is positive (so y-coordinates are increasing).

We have a graph, rather than a function given to us, so we don't need to use any calculus.

Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).

Between x=0 and x=1, the function is decreasing.

After x=1, the function is increasing again.

We can use mathematical notation to express this.

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Or

[tex]x < 0\ \text{and}\ x > 1[/tex]

A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).

Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).

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Please help me thanks!

Answers

Answer:

The Surface area will double and the volume will triple.

Step-by-step explanation:

This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.

Answer:

See below ~

Step-by-step explanation:

Subpart (h) :

⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value

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

Subpart (i) :

⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value

a ball is dropped from a height of 6 metres. suppose the ball rebounds 2/3 of the height from which it falls. find total distance travelled by ball

Answers

Answer:

10 meters.

Step-by-step explanation:

We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.

It rebounded 2/3 of 6 meters, which is 4 meters.

6 meters add 4 meters is 10 meters.

Line AZ is tangent to circle V. What is the measure of angle YWZ?

Answers

Answer: 54 degrees

Step-by-step explanation:

Since AZ is tangent to circle V, it forms a 90 degree angle with the circle. If you compare XW with AZ, you can see they are perpendicular to each other. Angle W has already been found, and it's 36 degrees.

So if you subtract 90 by 36, it gives you YWZ, 54 degrees.

What is the volume of this object?
Top View
2u
2u



pls I need help lol


Answers

Answer:

15 u³

Step-by-step explanation:

Volume = width × length × height

Given:

width = 2ulength = 2 ¹/₂ uheight = 3u

⇒ Volume = 2u × 2 ¹/₂ u × 3u

                 = 15 u³

[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]

[tex] \sf \: length =2 \dfrac{1}{2}u[/tex][tex] \sf \: width =2u[/tex][tex] \sf \: height =3u[/tex]

given figure

[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]

[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]

volume of this object

[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]

[tex] \sf \: volume = width \times length \times height[/tex]

[tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]

we have,

[tex]\sf \: volume = width \times length \times height[/tex]

[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]

[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]

[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]

[tex]\sf \: volume = u \times 5u \times 3u[/tex]

[tex]\sf \: volume = 15u {}^{3} [/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.

Answers

Answer:

c: 275

Step-by-step explanation:

7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?

Answers

A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

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Which graph represents the solution set of this inequality? -2x + 7 < 23

Answers

Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

What is the surface area?
4 m
5 m
12m

Answers

Answer:

Where is the picture of the surface area?

Step-by-step explanation:

I need the picture in order for me to help your question.

Question 6(Multiple Choice Worth 5 points) (06.03 LC) What happened to Gautama after he sat under a fig tree and meditated for several weeks? He discovered ahimsa. He became a vegetarian. He founded Jainism. He was enlightened.

Answers

Answer: B

Step-by-step explanation: hope this helps

Answer:

He was enlightened

Step-by-step explanation:

There was a list of things he did to become Buddha

Lives like a prince
Is depressed by the suffering he sees outside the palace
Is impressed by how contented a holy man is
Decides to give up a life of pleasures and comforts
Wanders across India looking for the end of suffering
Sits down under a tree and meditates for several weeks
Gains enlightenment


jane has 3 apples julio has 4 apples and 2 bananas jesse has 4 bananas and 10 apples how many apples are there in all if they a put all fruit in a basket

Answers

17 apples in the basket

Write'15 cubed' as a power.​

Answers

Answer:

[tex]15^{3}[/tex]

Step-by-step explanation:

[tex]15^{3} =(15)(15)(15)=3375[/tex]

Hope this helps

Need help please answer ASAP!

Answers

#10

x²-9x²-3²(x+3)(x-3)

Option A and B

#11

√9a²+16a²√a²(9+16)√a²(25)√5²a²5a

Option C

Answer:

   10. (2) x - 3

    11. (3) 5a

Step-by-step explanation:

Question 10

x² - 9 = (x + 3)(x - 3)x² - 5x + 6 = (x - 3)(x + 2)x - 3 is a common factor(2) x - 3

Question 11

Simplifying

√9a² + 16a²√a² (9 + 16)a√25(3) 5a


calculate the maximum mass of copper thar could be produced
from 4.0 g of copper oxide

Answers

So, 3.55 g of copper could be made from 4 g of copper oxide.

The formula for copper oxide to convert to copper is a chemical equation Cupric oxide, or copper (II) oxide, is an inorganic compound with the chemical formula CuO.

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