the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms

Answers

Answer 1

Answer:

The terms are 2, 4, and 8

Step-by-step explanation:

a+b+c=14

a^2+b^2+c^2=84

Plug in numbers.

3+6+5=14

3^2+6^2+5^2=70

This is too little, meaning the some of the terms have to be larger.

1+7+6=14

1^2+7^2+6^2=86

This is too much, meaning smaller terms are needed.

2+8+4=14

2^2+8^2+4^2=84

This is perfect.


Related Questions

How can doubling a known fact be helpful when finding products mentally

Answers

Answer:

by doing that

Step-by-step explanation:

if x = y so y is z and you can find thatKegunaan Chi-Square:

Uji Chi Square berguna untuk menguji hubungan atau pengaruh dua buah variabel nominal dan mengukur kuatnya hubungan antara variabel yang satu dengan variabel nominal lainnya (C = Coefisien of contingency).

Use square roots to solve the equation x ^ 2 = - 25 over the complex numbers. Select any solutions that apply A.-5 B. -5i C. -5i^2 D.5i

Answers

Answer:

B. [tex]-5i[/tex]

D. [tex]5i[/tex]

Step-by-step explanation:

Remember that the imaginary unit is equal to:

[tex]i^2 = -1[/tex]

And getting the square root in both sides of the equation we get:

[tex]i = \sqrt{-1} \quad \land \quad -i = \sqrt{-1}[/tex]

The with our expression we develop of the next way:

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

However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.

[tex]x = 5i \quad \land \quad x = -5i[/tex]

In this occasion we use [tex]i[/tex] and [tex]-i[/tex] because both represent a negative square root, so our final answer is:

B and D

Pre college need help with this question

Answers

Answer:

the domain is {7,-4,1,4,}

the range is {1,-5,2,-7}

Step-by-step explanation:

Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.

Answers

Jamir baked 32 peanut butter cookies

Chris wants to order DVDS over the internet. Each DVD costs $12.99 and shipping order costs $9.99. If he can spend no more than $100 how many DVDs can he buy?

Answers

Answer:

4

Step-by-step explanation:

I think its 4 because the max DVD's he could have bought if shipping was free was 7 but since shipping is not free,he has to equal the amount so 12.99+9.99= 22.98 and the maximum multiplication by 22.98 with the maximum number as 100 would be 91.92, thats my answer

[tex]-2cos^{2} x-6sinx-1=0[/tex]
Please help!!
Thank you!

Answers

Answer;

Y= --2 cos (x)² --6 sin (x) --1

Domain x ER

Vertical intercept (0,--3

I solved it by graph and trust myanswer

like my answer and brainliest

20 kilograms increased by 25%

Answers

Answer:

25 kilograms

Step-by-step explanation:

Find the value of the variable.

Answers

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

5(x-a)=3(x+b)

Solve for x

Answers

Answer:

[tex]x=\frac{3b}{2} +\frac{5a}{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(x - a) = 3(x + b)

5x - 5a = 3x + 3b

      2x = 5a + 3b

        x = 2.5a + 1.5b

Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

find all complex solutions of 13x^2-5x+1=0

btw it doesn’t let me do the +- sign

Answers

Answer:

Step-by-step explanation:

You can make it by using division +/-. The keystrokes are

+

/

-

a = 13

b = -5

c = 1

x = [-(-5) +/- sqrt( (-5)^2 - 4*13*1) )] / 2

x = [ 5 +/- sqrt( 25 - 52) ] / 2

x = [ 5 +/- sqrt(-27)]/2

x = [5 +/- 3 sqrt(3)i ] / 2

x = 5/2 +/- 3/2 * sqrt(3) i

So x1 = 2.5 + 1.5 sqrt(3)i    or

x2 = 2.5 - 1.5 sqrt(3)i

For the line segment with endpoints M(m, 4) and N(-2, n) , the midpoint is (3, 1) . Find m and n.

Answers

Answer:

Step-by-step explanation:

(m + (-2)) / 2 = 3

    (m + (-2)) = 6

               m = 8

(4 + n) / 2 = 1

      4 + n = 2

            n = - 2

   

Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car. What is the minimum initial deposit Arthur must make? Round to the nearest whole dollar.

Answers

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180 514.10X = 2180 X = 2180 / 514.10 X = 4.24

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in https://brainly.com/question/25749130

Find the measure of the angle marked and indicated in bold.

Answers

Answer:

105° your answer

Step-by-step explanation:

parrallel line = gongruent angles

16x - 7 = 15x

16x - 15x = 7

x = 7

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

7 * 15 = 105° your answer

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

16 * 7 - 7 = 15 * 7

105 = 105

the answer is good

Identify the slope and the y- intercept, as a point (0,b), from the equation.

Y=2/5x-11


Slope -

Y-intercept -

Answers

Step-by-step explanation:

Given line:

y = 2/5x - 11

Compare this with the slope-intercept form:

y = mx + b

The slope is:

m = 2/5

Y-intercept is:

b = - 11

As a point on the line it has coordinates (0, - 11)

Answer:

Hope this helps!

Step-by-step explanation:

The slope is:

m = 2/5

Y-intercept is:

b = - 11

The coordinates on the line are: (0, - 11)

America says that the point (0,0) on the graph below means that you use no sugar if you make 1 pie. Is America correct? ​

Answers

Answer:

America is correct

Step-by-step explanation:

it says 0,0 and then it would mean it wouldn't have any sugar in the pies

Answer:

No, America's wrong.

If you look on the graph, as the line increases you can see one pie needs around 3/4(not accurate). (0,0) is the origin point. No sugar is used, and no pie was made.

Put these fractions in order from least to greatest:

Answers

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.

Answer:

The answer is the 3rd option. (1/4, 3/8, 2/3)

Step-by-step explanation:

All u have to do is find a common denominator for all 3 fractions.

The common denominator in this problem would be 24

So lets convert all the fractions with a denominator of 24.

1/4 = 6/24

3/8 = 9/24

2/3 = 16/24

Since we now converted the fractions with a common denominator, we can deduce the order from least to greatest.

6/24, 9/24, then 16/24

In other words, the answer is the 3rd option. (1/4, 2/8, and 2/4)

Hope this helps! :0

૮ ・ﻌ・ა

Carlos is at the store buying pencils. There is a package with 4 pencils that
costs $5 or a package with 5 pencils that costs $6. Which package is the
better buy?
A. The $6 package, because each pencil costs $1.20.
B. The $6 package, because each pencil costs $0.83.
C. The $5 package, because each pencil costs $1.25.
D. The $5 package, because each pencil costs $0.80.

Answers

Answer:

The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.

Step-by-step explanation:

could you help me with this? its an ss here:

Answers

-8-5=2 i think this is right i could b wrong
2-(-8)=10

When subtracting a negative number, you will actually add. You can double check this by counting on the number line. Make sure you count by 2.

22. A baker is planning to make a batch of sugar cookies for his bakery. For one large batch of cookies, the recipe calls for 6 eggs and 4 cups of sugar. The ratio for this 1 batch is 6 to 4 6:4 or The baker has to make 5 batches of cookies. How many eggs and cups of sugar she 4 will need to make these 5 batches. 6 22. eggs 23. cups of sugar 24. The Ratio in word form for the 5 batches of cookies:​

Answers

Answer:

22. 30

23. 20

25. Thirty to twenty, or 30:20

Step-by-step explanation:

22.6*5

23.4*5

Graph the line with slope -2 passing through the point (4, 1)

Answers

Answer:

Use points (4,1) and (3,-1)

Step-by-step explanation:

Let's say the other coordinates are (x,y).

Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:

[1-(-1)]/(4-3)=2/1=2

So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.

GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.

Answers

Answer:

y-4=4(x-1)

Step-by-step explanation:

Write the equation in slop-intercept form and get the slope and point from the equation

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

Now we write the equation in point-slope form

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

What is the point slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

To learn more about the slope intercept form visit:

https://brainly.com/question/9682526.

#SPJ5

No links help
Rectangle X is 5 cm long and 3 cm wide. Rectangle Y is similar to Rectangle X. What could be the dimensions of
Rectangle Y?
A)10 cm long and 8 cm wide
B)15 cm long and 9 cm wide
C) 15 cm long and 13 cm wide
D)10 cm long and 3 cm wide

Answers

B) 15cm long and 9cm wide

A herd of 4 horses has 1 white and some black horses. What is the ratio of while to black
horses?

Answers

Answer:

4:1

Step-by-step explanation:

if we assume there are only two types of horses it would be 4 black horses per 1 white

Help me out True or false questions

Answers

Answer:

A. false

b. true

c. false

Step-by-step explanation:

In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000

Answers

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

Pls help!! What is the equation for the line in slope-intercept form​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?

Answers

Answer:

7

Step-by-step explanation:

since there are 4 dogs for every 6 people,

if we add 3 people, there will be 9 people and 7 dogs.


Please help!!!!
check for understanding:

Answers

Answer:i thinks is 115.9 maybe im not sure because its in my HW

Step-by-step explanation:

Answer:

x=7.245

Step-by-step explanation:

pythagoras theorem says:

c=√a^2+b^2

so:

c=a2+b2=3.22+6.52≈7.245

Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)

A. -3/5x + 3/7
B. 3/5x - 3/7
C. -3/5x - 3/7
D. 3/5x + 3/7

Answers

Hi,

3(1/5x - 1/7)

= 3/5x - 3/7

B

✅(◠‿◕)

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