Find the equation of the circle with a center at (-2,10 and a point on the circle is at (4,9).
A. (x-2)^2+(y+1)^2=100
B. (x+2)+(y-1)^2=100
C. (x-2)+(y+1)^2=10
D. (x+2)^2+(y-1)^2=10

it will be 151200 is the anwser

There will be a total of 5040 unique ways to make arrangements of 4 cards out of 10 so option (A) will be correct.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

Given the 4 cards arrangement out of 10

npr = n! /(n-r)!

Here n = 10 , r = 4

10p4 = 10! /(10-4)!

10p4 = 10 × 9 × 8 × 7 × 6! /6!

10p4 = 5040

So there will be a total of 5040 ways to arrange the cards.

For more about permutation and combination,

https://brainly.com/question/13387529

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Answer:

|2x-5|<3

Step-by-step explanation:

.............

Answer:

f(x) = 0.5(x + 3)(x − 1)

Answer:

117.3 in^3

Step-by-step explanation:

Volume of cone=π(r^2)h/3=π·42·7/3≈117.3 in^3

Answer:

117.3in³

Step-by-step explanation:

πr²[tex]\frac{h}{3}[/tex]

3.14x4²x[tex]\frac{7}{3}[/tex]= 117.29

117.29 to nearest 10th= 117.3in³

Answer:

30 pieces.

Step-by-step explanation:

According to the word problem, Alex wants to cut all six of his candy bars into fifths.

5/5 = one whole candy bar.

If there will 5 pieces for every candy bar, we can multiply 5 by 6.

5 x 6 = 30.

There will be 30 of the 1/5 size pieces.

Answer:

=12y+5x

Step-by-step explanation:

Answer:

12y+ 5x

Step-by-step explanation:

9y + 3y + 5x​

9y and 3y are like terms

9y+3y = 12y

12y+ 5x

Answer:

105

Step-by-step explanation:

11×14= 154

7×7= 49

154-49= 105

Answer:

105 is ur answer!

you're welcome lol

Answer:

1680 ways

Step-by-step explanation:

From the question,

nPr = n!/(n-r)!.................. Equation 1

Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.

Given: n = 8 books,  r = 4 books.

Substitute into equation 1

8P4 = 8!/(8-4)!

8P4 = 8!/4!

8P4 = (8×7×6×5×4!)/4!

8P4 = 1680 ways.

Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways

Answer:

Q5: S.A = 216 cm²

Q6: S.A = 254 cm²

Step-by-step explanation:

Q5:

Surface area of a cube = 6a²

a = 6 cm

Plug in the value of a

Surface area of the cube = 6(6²)

= 6(36)

S.A = 216 cm²

Q6:

Given:

Length (L) = 9 cm

Width (W) = 4 cm

Height (H) = 7 cm

Required:

Surface area

Solution:

Surface area of the rectangular prism = 2(LW + LH + HW)

Plug in the values

S.A = 2(9*4 + 9*7 + 7*4)

= 2(36 + 63 + 28)

= 2(127)

S.A = 254 cm²

Answer:

48

Step-by-step explanation:

Answer:

Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.

Step-by-step explanation:

Giving the following information:

Joshua:

Initial investment (PV)= $750

Interest rate (i)= 0.0341/4= 0.008525

Number of periods (n)= 18*4= 72 quarters

Josiah:

Initial investment (PV)= $750

Interest rate (i)= 0.0285

Number of periods (n)= 18 years

To calculate the future value of each one, we need to use the following formula:

FV= PV*(1 + i)^n

Joshua:

FV= 750*(1.008525^72)

FV= $1,381.98

Josiah:

FV= 750*(1.0285^18)

FV= $1,169.74

Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.

Answer:

delta math says answer is 100

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I hope this helps you :)

Answer:

thx for the points

Step-by-step explanation:

2.9375 Pints

and 47 ounces is, well... 47 ounces

Answer:

200.96 ft^2

Step-by-step explanation:

The area of a circle is pi * r^2

This means that the area of that circle is pi * 8^2

8^2 * pi = 64 * 3.14 = 200.96

Answer:

x = 9

Step-by-step explanation:

Formula

The secant and tangent lines bear the following relationship

(tangent line )^2 = the outside secant line * length of the whole line

Givens

tangent line = 15

outside secant line = x

length of whole secant line = x + 16

Solution

15^2 = x ( x + 16)

15^2 = x^2 + 16x

225 = x^2 + 16x

x^2 + 16x - 225 = 0

Answer and Discussion

The equation has two factors.

(x - 9)(x + 25) =0

x + 25 has no meaning. There cannot be a negative length in this level of geometry.

The answer is x - 9 = 0

x = 9

Answer:

the answer is y=3x+3

Step-by-step explanation:

Answer: 3x+3

Step-by-step explanation:

Find the mx+b

B= 3, starting point on y-axis

M = 3, find rise over run.

Answer:

C

Step-by-step explanation:

Answer:

16m/s

Step-by-step explanation:

Given data

u = 40,

a = - 6,

t = 4

Let us substitute into the given expresssion to find v

v = u + at

v = 40+ -6*4

v= 40+ (-24)

v= 40-24

v= 16m/s

Answer:

CE

Step-by-step explanation:

The smallest side is opposite the smallest angle.

Answer:

86 degrees

Step-by-step explanation:

Interior degrees of a triangle always add up to 180 degrees

What you would do is add the first two (52+31 = 84)

Subtract this number from 180 to get your remaining degrees

86 degrees

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

1738.67 feet

Step-by-step explanation:

Imagine a right angles triangle, with the base length of 1800ft and the angle between the base and the hypotenuse to be 15 degrees.

Now, we have to calculate the hypotenuse length, using trigonometric ratios

The ratio that links adjacent side and hypotenuse is cos

So, write an equation:

cos(15) = Adjacent/Hypotenuse  = 1800/H

Rearrange to solve.

H = cos(15) x 1800 = 1738.67

This is the distance flown by the aeroplane .

Hope this helps

Step-by-step explanation:

For example, 2/4 and 3/6 both are equal to ½.

...

Equivalent Fractions Chart.

Unit Fraction Equivalent Fractions

1/2 2/4, 3/6, 4/8..

1/3 2/6, 3/9, 4/12..

1/4 2/8, 3/12, 4/16..

1/5 2/10, 3/15, 4/20,

Answer:

500/1000

Step-by-step explanation:

if you happen to simplify you will get 1/2. hope it helps.good day