Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 5.​

Given:

The midpoint of overline AB is M(0, - 7) .

The coordinates of A are (- 2, - 6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

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

The midpoint of overline AB is M(0, - 7). Using the midpoint formula, we get

[tex]M=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]

[tex](0,-7)=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-2+a}{2}=0[/tex]

[tex]-2+a=0[/tex]

[tex]a=2[/tex]

And,

[tex]\dfrac{-6+b}{2}=-7[/tex]

[tex]-6+b=-14[/tex]

[tex]b=-14+6[/tex]

[tex]b=-8[/tex]

Therefore, the coordinates of point B are (2,-8).

Answer:

well first 16x5=80

2 * 2 * 2 * 2 * 5

Step-by-step explanation:

Hope that helps! :)

Answer:

m∡QPR = 25°

Step-by-step explanation:

solve for 'x':

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m∡QPR = 9(1) + 16

m∡QPR = 25°

Answer:

x=5

y=-17

Step-by-step explanation:

basically what I did was:

1) I multiplied the first equation by 4 , solved for x

2) I used the value of x that i found and substituted in one of the equations to find y

Answer: x=0 y=2

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

Answer:

x > 4

Step-by-step explanation:

multiply by 6 to both sides to take out the fraction, leaving u with :

7x - 4 > 4(6)

7x - 4 > 24

    +4     +4

7x > 28

divide by 7 to isolate the x

x > 4

Step-by-step explanation:

x + 62 = 90

because they are complementary angles

I don't see any r

but I guess since they're complementary it would be 90 - 62

Answer:

Complementary angles

x = 28°

Step-by-step explanation:

Angle relationship = Complementary angles

x = 90° - 62° = 28°

Answer:

10 3/4, 4 3/4, and 9 1/2

Step-by-step explanation:

We're going to let x represent the length of the longest side. The perimeter is

x +(x-6) +2(x-6) = 25

4x -18 = 25

4x = 43

x = 43/4 = 10 3/4

Then x-6 = 4 3/4.

Multiply that two to get 8 3/2 = 9 1/2

I hope this helped! :)

Answer:

1:31,850-77100

2:4389

3:31850=21150

4:5287.50

5:9673.50

Step-by-step explanation:

Just basic math yall

Answer:

yep

Step-by-step explanation:

when you divide a fraction u can use the KCF method which is basically:

(keep) the first fraction the same

(change) the division sign in the middle to a multiplication sign

(flip) the second fraction

basically because you have to flip the 1/4 when you divide it, it'll be the same as a 4/1 anyways

Answer:

x =4

Step-by-step explanation:

so pretty much you're give the values for theta and phi, so all you have to do is insert the values in their corresponding position and simplify it. After the simplification process, the answer should be no less or more than 4.

Answer:

the answer is 4

Step-by-step explanation:

by simplification;

=》

[tex] \frac{a + b}{a - b} [/tex]

** putting the value of a and b :-

=》

[tex] \frac{5 + 3}{5 - 3} [/tex]

=》

[tex] \frac{8}{2} [/tex]

=》

[tex]4[/tex]

Answer:

16.5

Step-by-step explanation:

Answer: 2 or more.

X and Y could be anything, so there are at least two answers

Answer:

es 13 unidades mayor

Step-by-step explanation:

16 - 3 =13

Answer:

first question: decrease - second question: 34

Step-by-step explanation:

first question: to find the mean, you need to add all of the numbers together and divide the sum of those by the amount of numbers you added together. in this question, it would be

73+79+96+84=332 -> 332/4=83 is the mean for the 1st set of numbers

(1)   (2)  (3)   (4)

the question asks what happens after the next test score is added in, for this, you will do the same steps as before except you add in the 80 for her fifth test and then divide by 5 instead of 4, because you have another number being added.

73+79+96+84+80=412 -> 412/5=82.4 is the mean for the 2nd set of numbers

the second set of numbers, after the fifth test score is added in, is lower than the first set of numbers. therefore, the mean decreases

second question: same concept, except on a dot plot. a dot above a number means that there is one of those numbers that should be counted. this means since there are 2 dots above the 30, there are 2 30s being added to the rest of the numbers. in this dot plot, the numbers being added are

30+30+32+32+34+38+38+38=272 -> 272/8=34 is the mean

hope this helps!

Answer:

maddy will spend $61.23

Step-by-step explanation:

add $22.38 to $38.85

Answer:

It is first one PARENTS. Second one OFFSPRING.

Step-by-step explanation:

edg 2021. ALSO, yy and xx is parents and offspring.

Answer: first blank parents, second blank offspring

Step-by-step explanation:

Answer:

The answer is

[tex]x = 12 \\ y = 20 \\ z = 15[/tex]

Step-by-step explanation:

By using Pythagoras low

Then we can find that

[tex] {y}^{2} = {x}^{2} + {16}^{2} \\ {z}^{2} = {x}^{2} + {9}^{2} \\ {y}^{2} + {z}^{2} = {25}^{2} \\ then \\ {x}^{2} + {9}^{2} + {x}^{2} + {16}^{2} = {25}^{2} \\ 2 {x}^{2} = 288 \\ x = 12 \\ By \: substituting \: x \: into \: the \: previous \: equations \\ then \: \\ y = 20 \\ z = 15[/tex]

Answer:

The answer is

Step-by-step explanation:

By using Pythagoras low

Then we can find that

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Total distance travelled = 30% + 1/4

To add these numbers, convert 30% to fraction

30% = 1/3

1/3 + 1/4 = 7/12

Remaining distance = 1 - 7/12 = 5/12

Step-by-step explanation:

Avni's ratio = 5/9

Money of Avni = 36*5/9= 20

Namitha's ratio= 4/9

Money of namitha = 36*4/9= 16

Answer:

1,036,800 in year 2018

Step-by-step explanation:

20% of 600,000 is 120,000

120,000+600,000=720,000

720,000 in year 2016

20% of 720,000 is 144,000

720,000+144,000=864,000

864,000 in year 2017

20% of 864,000 is 172,800

172,800+864,000=1,036,800

1,036,800 in 2018

Answer:

x=the circumference of absolute end triangularitizeationing particle matter

Answer:

Answer is y=6 (option C).

Step-by-step explanation:

|10 - 5y| = 20

First equation is just as written for first solution:

10 - 5y = 20

Subtract 10 from both sides to eliminate the 10.

-5y = 10

divide both sides by -5 to eliminate the -5 and isolate the y.

y = -2

Distribute negative sign through equation for a second solution.

|10 - 5y| = 20

-(10 - 5y) = 20

-10 + 5y = 20

Add 10 to both sides to eliminate the 10.

5y = 30

divide both sides by 5 to eliminate the 5 and isolate the y.

y = 6

y = 6 is the only answer listed in the 4 options.

Answer:

38

Step-by-step explanation:

Answer:

volume of sphere=4/3 π4³=256/3π ft²

Answer:

1,728%

Step-by-step explanation:

multiply baby

Answer:

-27-4=3x+3

-30-3=3x

X=-11

Answer:

$511.575

Step-by-step explanation:

Given data

P=$475

R=3.8%

T= 2 years

Compound interest

A=P(1+r)^t

substitute

A=475(1+0.038)^2

A=475(1.038)^2

A=475*1.077

A=511.575

Hence the final amount is $511.575