the sum of the three terms consecutive terms of an ap is -6 and the product is 64, find the terms. using a, a + d, a + 2d​

Answers

Answer 1

Answer:

-8, -2 and 4

Step-by-step explanation:

Let the terms of the AP be a-d, a and a+d

If the sum is 6, then;

a-d+a+a+d = -6

3a = -6

a = -6/3

a = -2

Hence the first term is 6

If the product is 64

(a-d)(a)(a+d) = 64

-2(a²-d²) = 64

-2(4-d²) = 64

4-d² = -64/2

4-d² = -32

-d² = -32-4

-d² = -36

d² = 36

d = 6 or  -6

The first term is a-d = -2-6 = -8

second term is a  = -2

third term is a+d = -2+6 = 4

Hence the required AP is -8, -2 and 4


Related Questions

A store sold 281 dresses last year. The store makes a profit of $35 for each dress sold.
How much did the store make from selling the dresses?

Answers

281x35 =9,835
The store made $9,835 from selling dresses
Good luck brainliest would be appreciated

Answer:

9,835

Step-by-step explanation:

Math has me dead. Looks simple but it really isnt that easy.

Answers

Answer:

I am pretty sure the answer is A. I really hope this helps

Step-by-step explanation:

I dont have time to explain it im sorry my next class starts in 3 mins

Answer:A

Step-by-step explanation:

Please help!!

What is the value of Avogado's number?

Answers

Answer:

It will be C because I have it in my notes lol

Step-by-step explanation:

Hope this Helped

Solve: -2x - 5 = -3
plz help me hurry

Answers

Answer:

x=-1

Step-by-step explanation:

-2x - 5 = -3

add 5 to both sides

-2x = 2

divide both sides by -2

x = -1

Answer:

x = -1

Step-by-step explanation:

-2x - 5 = -3

Same to both sides:

-2x = -3 + 5

Simplify:

-2x = 2

Divide by -2 on each side to isolate x:

x = -1

Let me know if you have any questions

A triangle has side lengths of 11 cm and 7cm. Which could be the value of the third side, 19cm or 17 cm

Answers

Answer:

use the Pythagoras theorem..you will got the solution

Answer:

The answer is 17

Step-by-step explanation:

Can someone help me with this please .

Answers

Answer:

4

Step-by-step explanation:

78

234 students in 9 different classrooms. What is the ratio of students to classrooms?

Answers

Answer:

26 students per classroom

Step-by-step explanation:

To solve this, the ratio 234 students:9 classrooms must be converted to:

s students:1 classroom

To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:

26 students: 1 classroom

2x3(5-4)/6.2
Algebra

Answers

6/6.2 OR 0.627

Step-by-step explanation:

[tex] \frac{2 \times 3(5 - 4)}{6.2} [/tex]

6(1)/6.2 = 6/6.2 OR 0.627

Ayako claims that there are centers of dilations through which a dilation of line n by a factor leaves n changed. Determine whether each point below represents a center of dilation that supports ayako's claim

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. The points are not given, but I can explain it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the enlargement or reduction in the size of an object by a factor k. If a line AB is dilated by a factor k, with a center of dilation on the line AB, if the new line formed is A'B', then A'B' would lie on the same line AB irrespective of the dilating factor.

Dilation of a line segment is to smaller or larger a line with a specific scale factor. The line n when dilated with the center of dilation on the line, it will bring no change on the original line.

Given information

The line which is dilated is n.

Dilation

Dilation of a line segment is to smaller or larger a line with a specific scale factor. If this scale factor is more than 1 then the line segment will larger otherwise smaller.

In the given problem a line n is dilated with the a scale factor that leaves the changed of n.

If the entire line is dilated and the point of this line passes through center of dilation then the change will be nothing. If dilated from the center of dilation the scale factor does not matter.

To find center of dilation which supports Ayako's claim the point below which represents the center of dilation are not given in the problem.

Hence, The line n when dilated with the center of dilation on the line, it will bring no change on the original line.

Learn more about the center of dilation here;

https://brainly.com/question/25300368

125 rounded to the nearest tenth

Answers

130 is rounded to the nearest TENS

Classifying polynomial expression.

Answers

The answer are on paper.

I need help asap!! This is an i-ready lesson.

Answers

Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

Please help me with my homework problem

Answers

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

what value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?

Answers

Answer:

x= -56..................

Your friend's house is 6 miles south and 14.4 miles east of the bank. How far is your friend's house from the bank?

Answers

Answer: 15.6 miles

Step-by-step explanation:

If you draw it out it makes a triangle which you can then use the pythagorean theorem to find the actual distance between the house and the bank. Your equation should be sqroot of 6^2+14.4^2 which equals 15.6 miles. Hope this helps. :)

360 miles in 6 hours unit rate

Answers

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

how many minutes would it take rachel to jog 3 miles if she jogs 1/15 mile every minute

Answers

Answer:

3 mi * 15 min/mi = 45 min

Step-by-step explanation:

plz i need help hurry
and how do you mark brainliest

Answers

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

help me guysssssssssssssssss :D

Answers

Answer:

Slope=3

Step-by-step explanation:

m=y2-y1/x2-x1

m=19-10/6-3

m=3

Answer: The answer is C which is "m = 3"

Step-by-step explanation: To find the slope, the formula is change of y / change of x. The change of y in the graph is 9, and the change of x is 3. 9 divided by 3 is 3. Therefore, the option "m=3" is the correct answer.

How would I go about solving this problem?

Answers

I started by finding the area of the walls. The 8x10 walls are 80 and there are 2 so 160. And the other walls are 15x8 so 120 and there are 2 so 240. I added 160 and 240 to get 400. Then you need to subtract the window and the door because you aren’t painting them. You end up getting 340

please help i’ll give brainliest if you give a correct answer and show your work!

Answers

Answer:

as the cycle continues, you will always get 50 as the answer, since you are dividing both the numerator and the denominator with 10 in each expression. In other words, the 10:00 you divide the numerator which cancels out with the 10 you divide the denominator with. So the answer will always be 50 in each next expression.

Step-by-step explanation:

(I) 45÷90= 4500/90 = 50

(ii) 450÷9= 450/9 =50

(iii) 45÷0.9 = 45/0.9=50

(iv) 4.5 ÷ 0.09 = 45/0.09

starting with (I) 4500÷90 = 4500/90 =50

you divide the numerator and the denominator by 10 to get ; (ii) 450÷9 = 450/9 = 50

as the cycle continues you will always get 50 as the answer since you are dividing both the numerator and the denominator with 10 in each expression. In other words, the 10:00 you divide the numerator with cancels out with the 10 you divide the denominator with. So the answer will always be 50.

keusisdnrnsusjdhhrnrksysskrkridbebrb thank you​

Answers

Answer:

ur welcome

Step-by-step explanation:

Can some one help please

Answers

Answer:

y=7x+6

Step-by-step explanation:

hope i helped

PLZ HELP ME & ANSWER CORRECTLY!!!!! NEED ANSWER ASAP!!!!!
Mica and Joy are standing at corner A of the rectangular field shown below.
Mica walks diagonally across the field, from A to corner C. Joy walks from corner A to corner B, and then to corner C. To the nearest hundredth of a mile, how much farther did Joy walk the Mica?

Answers

Answer:

0.54 miles more

Step-by-step explanation:

1. Find the Diagonal. d=w2+l2=1.252+0.752≈1.45774

2. 3/4+1 and 1/4=2 miles

3. 2 miles-1.46 estimate.

4. Solution...0.54

Does anyone know composite functions?

Answers

Download Socratic , 9 times out of 10 you’ll get all the answers you’re looking for unlike on this app

Help please......... ​

Answers

It’s b. hope I helped!

7 (4.3 + p)
note p=5.7

Answers

Answer:

70

Step-by-step explanation:

Replace p with 5.7.

7 (4.3 + p) = 7 (4.3 + 5.7)

                = 7 (10)

                = 70

Answer:

4.3 + 5.7 = 10

7 * 10 = 70

Hence, 70 is the answer

Hope it helps

Please mark me as the brainliest

Thank you


[tex] - \sqrt{49 {x}^{2} } [/tex]
simplify expression

Answers

Step-by-step explanation:

Given

[tex] - \sqrt{49 {x}^{2} } \\ = - \sqrt{ {7}^{2} {x}^{2} } \\ = - 7x[/tex]

Hope it will help :)

Proving trapezoid theorems Geometry

Answers

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer:

Step-by-step explanation:

just did it

A pair of boots normally sales for $89.00,it is on sale for $50 what’s the sale percent?

Answers

Answer:

Your answer

43.8 %

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Other Questions
write narrative essay about any imaginary story (short story). Which male duty was seen as the most virtuous in Roman society?A. owning all of the family's propertyB. selling any children that were seen as unfit into slaveryC. continuing the family name through sonsD. allowing their wives to participate in government Put the following sentence into the simple past tense.Spielt ihr Fuball?Spieltet ihr Fuball.Spielt ihr Fuball.Spielen ihr Fuball.Habt ihr Fuball gespielt. At a recent soccer game at Red Bulls stadium, 7500 fans were rooting for the New England Revolution while 17,500 fans were rooting for the New York Red Bulls. What percent of the soccer fans were rooting for the New England Revolution? In the House Divided Speech, Abraham Lincoln wrote about an issue that he felt strongly about and that was very important to him. Write a short speech (150 words) about a topic that is important to you, using specific word choice to convey tone (author's attitude). Choose an informational text structure (ex. problem/solution, cause/effect) that helps communicate and develop your ideas clearly. In your speech, include an allusion or image that you think conveys the situation in a powerful and memorable way. (ex. Lincoln alluding to Jesus in his House Divided speech) Make it your goal to persuade your audience to accept your point of view. (a) Speculate What might Roger have wanted to say as he left Mrs. Jones's apartment? (b) Interpret What theme, or insight about life, is conveyed in this story? Organisms become extinct only in mass extinction events. True or false? How many kids are there in the US The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y 15 75 17 85 21 105 Car 2 :y = 10x Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2 How does the amendment process of the Georgia Constitution differ from amendment process of the US Constitution? Pleaseeee help I need a answer fast What are the solutions of the quadratic equation below?x-4x-6=0 what is the factored form of 5(8 + 3x) + 5? What does this diagram mean? I've read over it but still don't get it and the last response I got was a jumble of letters. An electron, tial well may be anywhere within the interval 2a. So the uncertainty in its position is x= 2a. There must be a corresponding uncertainty in the momentum of the electron and hence it must have a certain kinetic energy. Calculate this energy from the uncertainty relationship and compare it. What is the height of the cone below?V = 90 cmB = 18 cm?5 cm06 cmO 15 cmO 30 cm Use your knowledge of word parts to choose the phrase that best defines the word astrology?1. Stories about the oceans.2. The science of the stars.3. A clerk who writes for others.4. Stories about water. Find the mean then the mean absolute deviation (MAD) of the following data set Round your answer to two decimal places if necessary 3, 1, 5, 4, 8,6 What is the area of an isosceles triangle with side lengths of 22 and 66 answer asap!!! PLS HELP. what is the value of x in the figure?? a. 90b. 60c. 120d. 30