This line segment will be dilated with the point of dilation at (4,1) and scale factor of 2. What is the x-coordinate of one of the the end point of the dilated segment

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

        [tex]r=\frac{75}{25}=3[/tex]

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

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Answer: m<C = 45, m<M = 50, m< B = 85.

Step-by-step explanation:

Adjacent angles on a line sum to 180 degrees.

m<C + m<M + m<B = 180. 45 + (8x+10) + (12x+25) = 180. Combine like terms. 80+ 20x =180. Subtract 89 from both sides. 20x = 100. Divide both sides by 20. X = 5. Substitute x back into the angle measures. m<C = 45, m<M = 50, m< B = 85.

Answer:

2089

Step-by-step explanation:

Answer:

x = 90

y = 60

Step-by-step explanation:

Let x = student

Let y = non-student

x + y = 150

4x + 8y = 840 <—— Use elimination/addition ethos for both equations

8 (x + y = 150)

-1 (4x + 8y = 840) <—— Let’s eliminate y

8x + 8y = 1200

+ -4x - 8y = -840

—————————————

4x = 360

x = 90

x + y = 150 <— substitute for x from above

90 + y = 150

- 90 = - 90 <— subtract from both sides

y = 60

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

Answer:

x = 1

Step-by-step explanation:

We have an expression and are asked to find x perhaps?

2(3x - 7) + 18 = 10

To solve this, we need to get x alone.

Distribute :

(2(3x) - 2(7)) + 18 = 10

6x - 14 + 18

Add like terms :

6x + 4 = 10

Subtract 4 from both sides :

6x = 6

Divide 6 from both sides :

x = 1

Answer:

First you do 2x3 and then 2x7 that would be 6x and 14 so add 18 to 14 and that woukd be 32 so Try 32+6x... I would thnk i'm correct Can I also get Branliest..?

Answer:

16.5

Step-by-step explanation:

60 minutes = 1 hour

20 minutes * 3 = 60.

That means, by multiplying by a factor of 3, we can see exactly what Carrier's pg/hr speed is.

5.5 * 3 = 16.5

Answer:3.63 pagers per hour

Step-by-step explanation:

5 1/2 is the same as 5.5

20/5.5=3.63

Answer:

A

Step-by-step explanation:

two real solutions! hope this helped!!

Answer:

The answer is 65

Step-by-step explanation:

Answer: -9/20 is equal to -9/10 when divided by 3/6 (1/2)

Step-by-step explanation:

It is always good to verify all of your answer options are not possible answers. However, in a question like this, the math evenly works out in most cases, eliminating any other possible answer options.

By submitting this answer and referring to the work and resources given I trust you're in accordance with the Brainly Honor Code and I take no responsibility for any laws or rules broken with you using this platform.

Answer:

0.6 inch

Step-by-step explanation:

The volume of a sphere is calculated through the equation,

                           V = 4πr³/3

Which means that the radius is calculated by the equation,

                                (3V/4π)^(1/3) = r

Substituting,

           Sphere A,       (3x30/4π)^(1/3) = r = 1.927 in

           Sphere B,        (3x10/4π)^(1/3) = r = 1.336 in

When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.

Answer:

1)16(x+y) is not equal to 4x+12y, it is equal to 16x+16y

2)2x^2-y+5+3 is not equal

3)3x & 3y

4)15x+15

5)commutative

Answer:

54wy35syrdhtrd

Step-by-step explanation:

oy86t4s2r4ssuc78t87y8ma769798bowss668768

Answer:

1. "5 times as" means multiply by 5.

Jenny = x * 5

2. "10 dollars more" means add 10

Brandon = x + 10

Answer:

bc= 6

Step-by-step explanation:

since the triangles are similar, the sides are in a ratio

xz/ac = 20/4 (5:1)

yx/ba = 15/3 (5:1)

yz/bc = 5:1 = 30/6

Answer:

3

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

The point (3,8) is not a solution of system of equation. Explanation given below.

Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.

Given system of equation,

y=7x + 8

y=x + 1

To find that the point (3,8) is a solution of system of equation,

we substitute the point to both of these equation and verify if that point is satisfying the equation or not.

In the first equation, x=3 and y =8

we get, 8 = 29

which is contradiction.

In the second equation ;

we get, 8 = 4.

Which is also contradiction.

Therefore, the equations do not have the solution (3 , 8).

To learn more about the system of equation;

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Answer:

i think its 360.......

Step-by-step explanation:

i hope it helps

Answer:

4 square root 5 is the answer

root(20*4)

2 × root(5×4)

4×root(5)

Answer: z 1/2

Step-by-step

:) 100%

Answer:

36.5      i believe.

Step-by-step explanation:

you divide 986 by 27 and it equals 36.5.

hope you get it right!

if this is wrong then you can report me i guess. ='(

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Since angle 1 is on a straight line and we know that angle 4 is 160, and a straight line has a sum of 180 degrees, simply subtract 160 from 180 to get angle 1.

Angle one would be 180-160 = 20

Since the sum of angles in a triangle is 180 and we already know 2 of them, angle 1 is 20 and angle 3 is 30, just add them together and then subtract that from 180. 20 + 30 = 50, and 180 - 50 = 130.

So in conclusion:

Angle 1 is: 20

Angle 2 is: 130

Answer:

m= -5/2

Step-by-step explanation:

formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)

change in y coordinates: 5-(-5) = 10

change in x coordinates: -4-(0) = -4

10/-4 = -5/2= -2.5

Answer:

Find each measure.

1. 

SOLUTION:  

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:  

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:  

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:  

5

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:  

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:  

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:  

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:  

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:  

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

 are the bases and   is the 

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:  

1.2

CCSS SENSE-MAKING  If ABCD is a kite, find

each measure.

6. AB

SOLUTION

Answer:

T= 6

Step-by-step explanation:

T-5=1

find T

+5 to both sides

T= 6

Answer:

Step-by-step explanation:

Amount paid for first 100 watches = (65% of 80) *100

                                                        [tex]=\frac{65}{100}*80*100\\\\= 65*80\\= 5200[/tex]

Amount paid for next 50 watches = (55% of 80) * 50

                                                        [tex]= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200[/tex]

Remaining watches = 280 -(100+ 55)

                                 = 280 - 155 = 125

Amount paid for 125 watches = (45% of 80) *125

                                                  [tex]= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500[/tex]

Amount received by the watch maker = 5200 + 2200 + 4500

                                                               = £ 11900

Answer:

-11/12

Step-by-step explanation:

Answer:

-11

12

Step-by-step explanation:

You have to add the numbers, multiply them, subtract them and then finally divide.

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation: