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

To create a model of an artery, a health teacher uses the scale 2.5 cm : 0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?



a
9 m
b
90 cm
c
18 cm
d
9 cm

Answers

Answer: 9 cm

Step-by-step explanation:

I took the test

Simplify (6ab3c)(-abc2).

6b 2c
-6a 2b 4c 3
-6ab 3c 2

Answers

Answer: The simplified version of (6ab3c)(-abc2) is -12a^2 b^4 c^2

Step-by-step explanation:

Answer:

−6a^2b^4c^3

Step-by-step explanation:

Estelle's graduation picnic will cost $15 if it has 5 attendees. If there are 26 attendees, how much will Estelle's graduation picnic cost? Solve using unit rates.

Answers

Answer:

You can try to do a direct rule of three in this exercise.

We can considerr that the relation is proportional and we know that in this case it's dorect, as the more attendees there come, the more Estelle will have to pay, so we can write this and get x:

5 attendees - 15 dollars

26 attendees -  x dollars

x = 26*15 /  5 = 78 dollars

So you know how much Estelle would have to pay

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

En un almacén de dimensiones 5m de largo ,3m de ancho y 2m de alto queremos almacenar cajas de dimensiones 10 dm de largo 6dm de ancho y 4 dm de alto ¿cuántas cajas podremos almacenar?

Answers

Answer:

how do you translate

Step-by-step explanation:

i dont understand this

Find the slope of the linear function
y=5/4x-9​

Answers

Answer:

[tex]\frac{5}{4} x[/tex]

Step-by-step explanation:

y = mx+ b

m = slope

b = y-intercept

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the straight lines.

The equation of a straight line is given as,

y = mx+c, hence here, m = slope, c = y-intercept..

so, y = 5/4x-9

.m = 5/4

so the slope is 5/4

A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out how much you pay per month ​

Answers

$539 - $35 = $504

$504 : 12 = $42

Per month you pay $42.

Raj is thinking of a fraction that is equivalent to 5/8 in which the numerator is greater than 20 and the denominator is less than 50. What is the fraction Raj is thinking about?

Answers

Answer:

25/40

Step-by-step explanation:

5 into 8 is 40 and 5 into 5 is 25

Answer:

20 / 32

but the numerator is equal to 20, not greater than 20.

Step-by-step explanation:

5/8 = 10/16 = 20 / 32




Hamburgers cost $4.50 at a football stadium, write an equation that shows the total cost,c of n hamburgers?

Answers

Answer:

c=4.50

Step-by-step explanation:

c=4.50 the answer is at the top.

Answer:

N=$4.50

Step-by-step explanation:

If the price for one hamburger is $4.50, then N=$4.50

15% of 130 using the decimal method

Answers

Answer:

0.3846 is a decimal and 38.46/100 or 38.46%is the percentage for 50/130

Step-by-step explanation:

Pls mark me in brain list

Answer:

0.3846 is a decimal and 38.46/100 or 38.46%is the percentage for 50/130

Step-by-step explanation:

Help me with the area of the following triangle??? 25 POINTS question

Answers

-13/2x+1 is the answer which the area

How to find it simple:

Do 1/2*3x-4

then use that answer and multiple it with the height which is 2x+1 and you get the answer.

Johnny works after school and earns $8 per hour. He needs at least $2000 to purchase a car so he does not need to take the bus. How many hours does he need to work to reach his goal?​

Answers

2hours

Step-by-step explanation:

2 hours

O is the center of a circle if angle AOB =55° what is angle ACB=?​

Answers

Answer:

answer is 55/2 which is 27.5 degree

Step-by-step explanation:

angle subtended at center is double the angle subtended on aby other part of the circle...

Distribute Terms
-5(x +2)

Answers

-5x-10

hope that helps^^

27 of the 180 vehicles in a movie theater parking lot are minivans.What percent of the vehicles in the parking lot are minivans?

Answers

Answer:

160

Step-by-step explanation:

Answer:

15 percent

Step-by-step explanation:

First use the equation part over total to get 27/180. Then reduce the equation by dividing both the numerator 27 and the denominator 180 by 9. You are left with 3/20. Then use your calculator or you can work it out long hand to get 0.15. You times 0.15 by 100 if you want to find the percent, leaving you with 15 percent.

I hope this helped! :)

Someone plz help me with this question with an explanation

Answers

To use the angle-angle similarity theorem you need to know 2 corresponding angles of each triangle are the same.

You are already shown that angles H and M are the same.

The sets of corresponding angles are:

H and M, N and I, and O and J

The answer would be angle O and angle J are similar.

I need help on this pleasee​

Answers

Answer:

slope is 6/0 which is undefined

Step-by-step explanation:

Circles A, B, and C overlap. x is in the overlap of circles A and B. Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B

Answers

9514 1404 393

Answer:

  b, c, d, e, f

Step-by-step explanation:

x ∉ A  . . . . .  not true, x is in A

x ∈ B . . . true

x ∉ C . . . true (x is outside the circle labeled C)

x ∈ A ⋃ B . . . true

x ∈ A ⋃ C . . . true

x ∈ A ⋂ B . . . true (x is in the overlap)

Answer:

A is false, every thing else is correct so b,c,d,e,f is your answer

Step-by-step explanation:

have a good day

What is 30% of 42
I’ve given up on my homework please help

Answers

30% of 42 is 12.6.

sorry if wrong.

hope it helps.

have a great day.

Answer:

30% of 42 is 12.6.

Step-by-step explanation:

Ok, so first you need to find the value of 1%. To do that, you divide 42 by 100. That gives you 0.42. So, 0.42 = 1%. TO find 30%, multiply the value of 1% by 30. That's 0.42 * 30, which gives you 12.6. Therefore, 30% of 42 is 12.6!

Given the function f(x) graphed on the coordinate plane 15
below, determine f(3).

F(3)= ?

Answers

Answer:

2

Step-by-step explanation:

Use the ordered pairs shown in the table.

Which equation represents the data in the
table?

Answers

Answer:

Option C y = 1.5x

Step-by-step explanation:

If you look closely you will notice that there is a pattern that follows all the time. And the pattern is...

y = 1.5x

What is the area of the triangles? The problems are in the picture below. 15 points and a brainiest.

Answers

Answer:

first: 8 in^2

second: 77 yd^2

third: 225 in^2   (assuming that the larger triangle base =50 in (25 x 2)

Step-by-step explanation:

area = 1/2 x base x height

first:

1/2 x 4 x 4 = 8 in^2

second:

1/2 x 14 x 11 = 77 yd^2

third:

(1/2 x 50 x 18) - ( 1/2 x 18 x 25) = 450 - 225 = 225 in^2

how to factorise
25x²- 64y²​

Answers

Answer:

(5x + 8y)(5x - 8y)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.

~Hoped this helped~

25x²- 64y²

= (5x)² - (8y)²

= (5x-8y)(5x+8y)

Hope this helps!

What is the length of the diagonal of a 10 cm by 15 cm rectangle

Answers

Answer:

5 root 13

Step-by-step explanation:

using the pytogorean therom we get

root(10 squared +15 squared)

=root(100+225)

=root(325)

=5 root 13


Find the highest common factor of 35 and 8C.

Answers

Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

8p - p+0.75 = 4 + 0.25

Answers

P=0.5 :) your welcome

3x - 5 = -3 is the answer positive or negative

Answers

Answer:

positive

Step-by-step explanation:

if you time the three by a postive then times that by a negetive you get a negitive if you time by two negitives you get postive

In the expression 3x - 5 = - 3 the value of x is positive 2/3.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 3x - 5 = - 3.

3x = - 3 + 5.

3x = 2.

x = 2/3 so x is positive.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Four friends go out to lunch together. Mike orders a personal pizza with 2 toppings for $7.00. Dustin orders a personal pizza with 5 toppings for $9.25. Lucas orders a calzone with 1 topping for $5.75. Will orders a calzone with 4 toppings for $8.75. For what number of toppings is the price of a personal pizza the same as a calzone?

Answers

Answer:

Step-by-step explanation:

Four friends go out to lunch together.

For what number of toppings is the price of a personal pizza the same as a calzone?

Let us represent the number of toppings as x

We need to know the price of a personal pizza and the price of a calzone

Mike orders a personal pizza with 2 toppings for $7.00.

2x = $7

x = $7/2

x = $3.50

Dustin orders a personal pizza with 5 toppings for $9.25.

5x = $9.25

x = $9.25/5

x = $1.85

Lucas orders a calzone with 1 topping for $5.75.

x = $5.75

Will orders a calzone with 4 toppings for $8.75.

4x = 8.75

x = 8.75/4

x =2.1875

A movie theater is located at (1,7) after walking 6 blocks to the movie theater you meet you friend at your friend's house. What ordered pair corresponds to the location of your friend's house

Answers

Answer:

(-5,1)

Step-by-step explanation:

Given the coordinate of the location of the theatre as (1,7)

If this was the coordinate after moving 6 blocks to your friend's house, then the coordinate of the location of my friend house will be gotten as thus;

C = (1-6, 7-6) (since he moved 6blocks)

C = (-5, 1)

Hence the required coordinate is (-5,1)

solve the system of equations
3x-3y=4
-3x+3y=3

Answers

Answer:

x=y+2/3

Step-by-step explanation:

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