Suppose x, y, and z are different positive integers such that xy, yz, and zx are all perfect
squares. Must x, y, and z be perfect squares? Why or why not?

Answers

Answer 1

Answer: Yes, and the numbers are 4, 36, and 9

Step-by-step explanation:

Yes, because it x=4, y=36, and z=9 then 4 * 36=144, 144=12*12 4*9=36, 36=6*6, and 9*36=324, 324=18*18. As you can see they are all perfect squares and 4, 36, and 9 are all perfect sqaures too.


Related Questions

is 1 ÷2 the same as 1/2?

Answers

Answer:

Step-by-step explanation:

yes it is

Answer:

yes----------------------

I thought of a two-digit number. The unit digit of my number is a prime number, and the tens digit is four times as big as the unit digit. What is my number?

Please help! I'm very bad at these "what's my number" problems, so please respond ASAYC! (as soon as you can)

Answers

Answer:  82

====================================================

Explanation:

Let A be the tens digit and B be the units digit

We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.

"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.

Now multiply each of those items by 4

4*2 = 8

4*3 = 12

4*5 = 20

4*7 = 28

Of those results, only 4*2 = 8 leads to a single digit answer.

This must mean that A = 8 and B = 2

Therefore the number is AB = 82.

5,342 divided by 4 *********

Answers

Answer:

1335.5

Step-by-step explanation:

Answer:

10/171

Step-by-step explanation:

George has 525 songs on his mobile device and downloads 3 new songs a week. represent the total number of songs he has after w weeks.

Answers

Answer:

y= 3w+525

Step-by-step explanation:

Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number​

Answers

The is is algebra one or two please mark me

If a number is divisible by 3, then its odd

Answers

Answer:

and? obviously bc 3 isnt a even number so then the answer wont be even

What is an equilateral triangle?
a.
a triangle with equal sides and angles
c.
a sacred triangle used in Islamic art
b.
a triangle whose angles equal 360
d.
none of the above

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. a triangle with equal sides and angles

PLEASE

The simple interest formula is ​I=Prt​, where I is the interest, P is the principal, r is the interest rate, and t is the time.

What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?

Answers

Answer:

$40781250

Step-by-step explanation:

Okay so the formula for simple interest is: I = P x T x R divided by 100

25000 x 10875 x 15 = 4078125000 / 100 = $40781250

If you have the multiple choice answers:

A. $160

B. $200

C. $1600

D. $16,000

the answer is C. $1600

here's why:

The principal is $10,000, the interest rate is 2%, and the time is 8 years.

I = Prt

 = $10,000 · 2% ⋅ 8

 = 10,000 ⋅ 0.02 ⋅ 8

 =         1600

So, the interest earned is $1600.

draw a line segment of length 8 cm divide it in the ratio 5:3​



plzzzz helpppp

Answers

Answer:

Draw the line segment AB = 7 cm.

Draw ray BX making an acute ∠ABX.

Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.

Through B5 draw B5P || B2A, intersecting BA produced at P.

The point P so obtained is the required point which divides AB externally in the ratio 3:5.

A cylinder has a diameter of 16 cm and a volume of 804.247cm2. What is the height of the cylinder?

Answers

Answer:

The height is 4cm

Step-by-Step Explanation:

Use the formula:

V= π (d/2)² h

Solve for h

h=(V/π(d/2)²

804.25/(π (16/2)²

4cm

Hope this helps :)

Answer: 4cm

Step-by-step explanation:

If f(x)=-9x-2, find f(7)

Answers

Answer:

x= -1/5

Let me know if you need an explanation :)



PLEASE GUYS HELP ME I WILL GIVE BRAINLIST OR WHATEVER IS CALLED I HAVE AN IMAGE ATTACHED TO




Rosie draws a triangle, ABC.
• AB = 8 cm
• AC = 9 cm
• Angle BAC = 75
a) Draw a sketch of Rosie's triangle.
b) Use your sketch to work out the area of Rosie's triangle.
cm

Answers

Answer:

34.77

Step-by-step explanation:

joseph save 50% of his allowance each week if he saves $25 in 5 weeks how much allowance does joseph receive each week

Answers

Answer:

10 dollars

Step-by-step explanation:

Please quick You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)

Answers

Answer:

a) $3000

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 4

interest = 3000

please help me on this ​

Answers

Answer:

x = 3

Step-by-step explanation:

7(2 - x) - 5(x - 1) = -6x + 1 (distribute the 7 and the 5)

14 -7x -5x + 5 = -6x + 1 (collect like terms)

-12x + 19 = -6x + 1 (add 12 on both sides)

19 = 6x + 1 (subtract 1 on both sides)

18 = 6x (divide by 6 on both sides)

3 = x

Hope this helps ya!!

please help find the top angle

Answers

Answer:

130 degrees

Step-by-step explanation:

So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:

25 + 25 + 4x + 2 = 180

4x + 52 = 180

4x = 128

x = 32, now we have x so replace the x in the equation with 32

4(32) + 2

128 + 2

130

Which of the following are true statements about the expression 4 - (-4)?​

Answers

it’s b and d!! 4 to the right of 4 on the number line is 8 and the answer is 8 so it’s both!!

Can every parallelogram be changed into a rectangle
with equal area? Explain.

Answers

Answer:

Every parallelogram can be made into a rectangle, which is why we use the same formula to find the area of a parallelogram and a rectangle.

Step-by-step explanation:

Because the parallelogram and rectangle are composed of the same parts, they necessarily have the same area.

Aaron had 6 albums with 18 Photos in each. Andre gave him seven albums with 13 photos in each. Then Jennie Gave Aaron 10 more photos. How many photos did Aaron have?

Answers

Answer:

209

Step-by-step explanation:

(6x18)+(7x13)+10

108+91+10

209

Answer:

Step-by-step explanation:

6+7+13+10

can u pls find the slope intercept form pls?​

Answers

Answer:

y = - 7/5x + 18/5

Slope: - 7/5

y - intercept: (0, 18/5)

Hope this helps!!

a group...........................................

Answers

Answer:

165⁰ I hope this helped :)

( Please answer) Elevator #1 starts moving upward from a height of 28 feet at a rate of 8 feet per
second. At the same time, elevator #2 starts moving downward from a height of 100
feet at a rate of 10 feet per second. Which two equations form a system that can be solved to find how many seconds (s) it will take for both elevators to reach the same height (h) in feet? A.) H - 8s = 28 B.) h - 10s = 100 C.) 10h - s = 100 D.) 28h + s =8

Answers

The answer is A and D

The equations for the situation are h-10s =100 and 28h + s = 8. The correct options are A and D.

What is an expression?

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.

Given that moving upward from a height of 28 feet at a rate of 8 feet per second. At the same time, elevator #2 starts moving down from a height of 100 feet at a rate of 10 feet per second.

The equation will be written as,

h-10s =100

28h + s = 8

To know more about an expression follow

https://brainly.com/question/3545444

#SPJ2

. On the opening night of a new movie, a local movie theater sold 630 tickets and filled 90% of the seats in the theater. How many seats are in the movie theater?

Answers

Answer:

700 seats

Step-by-step explanation:

- If 630 tickets filled 90% of the seats, [tex]x[/tex] tickets filled 100% of the seats

multiply 630 by 630 tickets = 90/100

- Set up a proportion

630 tickets/90 = [tex]x[/tex] tickets/100

[tex]x[/tex] = 700 tickets = 700 seats

Priya rode her bike 1250 feet. If her bike wheel has a diameter of 2.5 feet, how many times did her wheel make a full rotation? *
9 points
79 times
159 times
398 times

Answers

Answer:

159 times

Step-by-step explanation:

Givend = 2.5 ftDistance = 1250 ftTo findNumber of rotationsSolution

Circumference of the wheel is the one full rotation:

C = πd = 3.14*2.5 = 7.85 ft

Number rotations:

1250/7.85 = 159.2

Correct option is 159 times

y 5x=2

What are the coordinates

Answers

Answer:move -5x to the right becomes 5x

Y=5X+2

When x =1 5(1)+2= 7 for Y

When X=2 5(2)+2= 12 for Y

When X =-1 5[-1)+2/ -3

Coordinates (1,7).(2,12)(-1,-3)

Step-by-step explanation:

In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year? 32 58 64 72​

Answers

Answer:

D(72)

Step-by-step explanation:

to find this do 40 + 40 to get 200 percent of the original year when subtract 20 percent of 40 to get 72

What is the slope of the line that passes through the points (-4,6) and (-3,2)

Answers

Answer: m=4/7x

Step-by-step explanation:

First, you need to use the equation y2-y1/x2-x1

Plug that in and you get 2-6/-3-4

2-6= -4

-3-4=-7

Cancel out the negatives

And the answer is 4/7

En el siguiente esquema se presentan en rojo las diferentes rutas que existen para llegar de una ciudad a otra. Por ejemplo, para llegar de la ciudad B a la ciudad C hay 4 posibles rutas. Si se quiere viajar desde la ciudad A a la ciudad D, ¿por cuántas rutas se podría ir? * A. 14 B. 36 C. 12 D. 24

Answers

Answer:

La respuesta es D. 24

Step-by-step explanation:

Falta el esquema. Lo adjunto en la resolución de la pregunta.

En el esquema se puede ver que hay 3 maneras de ir desde la ciudad A a la ciudad B, 4 maneras de ir desde la ciudad B hacia la ciudad C y finalmente 2 maneras de ir desde la ciudad C hacia la ciudad D.

Necesitamos saber por cuántas rutas se podría ir si se desea viajar desde la ciudad A a la ciudad D.

Utilizaremos el principio de multiplicación para responder a ésta pregunta ⇒

Supongamos que estamos realizando un experimento [tex]N[/tex] el cuál está conformado por una serie de sub - experimentos [tex]m_{1},m_{2},...,m_{n}[/tex].

Ahora, cada uno de estos sub - experimentos se puede desarrollar de [tex]n_{1},n_{2},...,n_{n}[/tex] maneras diferentes respectivamente. Entonces, el número total de maneras diferentes en las que el experimento [tex]N[/tex] se puede llevar a cabo se calcula como [tex]n_{1}[/tex] x [tex]n_{2}[/tex] x . . . x [tex]n_{n}[/tex]

Ahora bien, siguiendo con ésta idea escribimos :

3 x 4 x 2 = 24

''3'' porque es el número de rutas distintas para ir de A hacia B

''4'' porque es el número de rutas distintas para ir de B hacia C

Y finalmente ''2'' porque es el número de rutas para ir desde C hacia D

Si hacemos éste producto el resultado es 24 y por lo tanto la opción correcta es D. 24

I WILL MARK BRAINIEST
please tell me what type of angle it is

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

Answer: adjacent angles

explanation: both angles share the same side.

PLEASEEE HELPPPP
I’LL GIVE YOU BRAINLIST I DONT GET THIS :\\

Answers

X is equal to 90 degrees
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