suppose that when you factor 4t^6-r^10, you get (2t^x+r^y)(2t^x-r^y). determine the sum of t and r.

Answers

Answer 1

Answer:

8

Step-by-step explanation:

Given the expression

4t^6-r^10 we are to factorize in the form;

(2t^x+r^y)(2t^x-r^y)

First we need to factorize (2t^x+r^y)(2t^x-r^y)

[tex]= (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\= 4t^{2x}-r^{2y}[/tex]

Compare [tex]4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}[/tex]

[tex]4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\[/tex]

Get y;

[tex]r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8[/tex]

Hence the sum of x and y is 8


Related Questions

help me plz!<3 asap​

Answers

Answer:

73,58,107,49,131

Step-by-step explanation:

m∠1=73°because alternate interior angles

m∠2= 180-49-73=58° because straight lines make 180° angles

m∠3=58+49=107° because alternate interior angles

m∠4 =49° because alternate interior angles

m∠5=180-49=131° because straight lines make 180° angles

Answer shown in the screenshot

I hope they are right!

A train covers 15 miles in 20 minutes. How far will it travel in 6 hours assuming that it continues at the same speed?

Answers

Answer:

270

Step-by-step explanation:

6 x 60 = 360

360/20 = 18

18 x 15 = 270

Lorna has $60 and her sister has $120. Lorna saves $7 per week, and her sister saves $5 per week. Which equation and solution represent the number of weeks, w, it will take for the girls to have
the same amount of money?
A 60w + 7 = 120w +5; = 30
7w +60 = 5x + 120; = 30
70 - 60 - 5w -- 120; = 30
B
©
D
Not here

Answers

Answer:

b

Step-by-step explanation:

Plzzzzzzzzhellpppppppmeeee please! We will be besties if ur2 help me!
21. Solve the equation with variables on both sides: 12y = 2y − 10
a. y=−10 b. y=10 c. y=−1 d. y=1

22. Solve the equation using inverse operations. 4x+5 = 6x−9
Answer:

Answers

Answer:

d. y=-1; x=7

Step-by-step explanation:

Q2. 81 = 3k

PLEASE HELP !!

Answers

Answer:

27

Step-by-step explanation:

SOMEONE HELP ME PLEASE I NEED HELP ASAP! PLEASE SHOW UR WORK

Answers

Answer:

6 and 13.33

Step-by-step explanation:

6 and 13.33 that’s right

I need help!! Worth 17 points!!

Answers

Answer:

2 + 3t

Step-by-step explanation:

is started at 2ft (2+) and went up 3 times each year. (3t)

Answer:

2 + 3t

Step-by-step explanation:

2 because of the feet it started at and 3t to represent 3 ft per year

if correct will get brainlliest

Answers

Answer:

Gold is LESS expensive than platinym because SLOPE of graph is LESS

SLOPE gives UNIT DOLLARS PER OUNCE.

Step-by-step explanation:

if correct‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

The sum of 9/26 and -4/13 is ____

Answers

Answer:

1/26

Step-by-step explanation:

-4/13 is equivalent to -8/26. Since 9/26 and -8/26 have the same denominator, you can add together the numerator to get the numerator of the final answer. 9-8 is 1, so your answer is 1/26.

What is the distance from the origin to point A graphed on the complex plane below?

Answers

Answer: False

Step-by-step explanation:

You didn't give the coordinate plane that I was supposed to use while helping you.

Correct answer will get brainliest

Answers

Answer:

7) -3

8) B

Step-by-step explanation:

7 is the slope is -3x

8 answer is -1.8x

Citrus farmer who grows mandarin oranges finds that the diameters of mandarin oranges harvested on his farm follow a normal distribution with a mean diameter of 5.85 cm and a standard deviation of 0.24 cm. Find the 80th percentile for the diameters of mandarin oranges, round 4 decimal places

Answers

Answer:

6.0520

Step-by-step explanation:

Given that:

Mean = 5.85

Standard deviation = 0.24

Let N denote the 80th percentile.

P(X < N) = 0.8

[tex]P(Z < \dfrac{(N - 5.85)}{0.24}) = 0.8[/tex]

Using the Excel formula: = NORM.INV(0.8,5.85,0.24)

The 80th percentile for the diameters of mandarin oranges:

= 6.0520 (to 4 decimal place)

cual es el multiplo comun de 18 y 27

Answers

9 porque 9x2=18 y 9x3=27 aver si ayuda :)

Question 1 (1 point)
Which of the following is a solution of x < -5?
-5
-10
0
3

Answers

Thanks for the answer

Answer:

-10

Step-by-step explanation:

x has to be less in value than -5 and -10 is the only one that is less in value

Hope it Helps!

if this helped can you mark as brainliest?

Given j(x) = x + 5, what is the value of j(12)?

Answers

Answer:

j(12) = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

j(x) = x + 5

j(12) is x = 12

Step 2: Evaluate

Substitute in x:                    j(12) = 12 + 5Add:                                     j(12) = 17
So to show work you’d replace x and j(x) with 12:
j(12)=12+5
j(12)=17
(12,17)

The diagram shows a triangle ABC where AB=AC , BC=AC, and ⦟BAC = 20 degree, find ⦟ADB​

Answers

Answer:

hello something is wrong with the question. if ab= AC, and AC = BC, AB=BC, it'd make this an equilateral triangle and the degree wouldn't be 20 degrees

Y= 3x 9

That’s how the question was put

Answers

Answer:

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Step-by-step explanation:

Answer:

there is no soloution

Step-by-step explanation:

what is the solution of 5y + 1=31

Answers

Answer:

y=6

Step-by-step explanation:

edge2020

Answer:

y=6

Step-by-step explanation:

5y+1=31

    -1  -1

5y=30

5     5

y=6

hey there, random person? Mind to answer?

Answers

your answer is 512 feet squared.

27 is 75% of what number ?

Answers

THE ANSWER IS

?????

36

Answer:

27 is 75% of 36

Step-by-step explanation:

METHOD 1:

[tex]\begin{array}{ccc}27&-&75\%\\\\x&-&100\%\end{array}\qquad|\text{cross multiply}[/tex]

[tex](75)(x)=(27)(100)\\\\75x=2700\qquad|\text{divide both sides by 75}\\\\x=36[/tex]

METHOD 2:

[tex]n[/tex]-a number

[tex]p\%=\dfrac{p}{100}\\\\75\%=\dfrac{75}{100}=0.75[/tex]

75% of a number is 27:

[tex]0.75\cdot n=27\qquad|\text{divide both sides by 0.75}\\\\n=36[/tex]

2.) What is the y- coordinate for the SOLUTION to the following system of
equations? (Note: although you do not HAVE to graph, it is suggested.)
y = -x- 2
by = 4(x - 1) + 7

Answers

Answer:

y-coordinate for the SOLUTION to the following system of

equations will be:

y=-1

The graph is also attached.

Step-by-step explanation:

Given the system of equations

[tex]y\:=\:-x-\:2[/tex]

[tex]y\:=\:4\left(x\:-\:1\right)\:+\:7[/tex]

Let us solve the system of equations to determine the y- coordinate

[tex]\begin{bmatrix}y=-x-2\\ y=4\left(x-1\right)+7\end{bmatrix}[/tex]

[tex]y-4x=3[/tex]

[tex]-[/tex]

[tex]\underline{y+x=-2}[/tex]

[tex]-5x=5[/tex]

so

[tex]\begin{bmatrix}y+x=-2\\ -5x=5\end{bmatrix}[/tex]

solve -5x=5 for x

[tex]-5x=5[/tex]

Divide both sides by -5

[tex]\frac{-5x}{-5}=\frac{5}{-5}[/tex]

[tex]x=-1[/tex]

[tex]\mathrm{For\:}y+x=-2\mathrm{\:plug\:in\:}x=-1[/tex]

[tex]y-1=-2[/tex]

Add 1 to both sides

[tex]y-1+1=-2+1[/tex]

[tex]y=-1[/tex]

Thus, y-coordinate for the SOLUTION to the following system of

equations will be:

y=-1

The graph is also attached.

uh not sure if i put it in the right subject but... help Imao

Answers

Answer:

yes u did put in right subject

PLS HELP I'LL TRY TO GIVE BRAINLIEST
Select all the situations that can be represented by the tape diagram​

Answers

Answer:

B. Andre babysat 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $4 at the end of the month. Andre earned $99 from babysitting.  and C. A family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total.

Step-by-step explanation: B and C are the right answers

Anybody know the answer for this?

Answers

Answer:

 d,b

Step-by-step explanation:

Let's solve for x.

15x−16y=60

Step 1: Add 16y to both sides.

15x−16y+16y=60+16y

15x=16y+60

Step 2: Divide both sides by 15.

15x

15

=

16y+60

15

x=

16

15

y+4

Which fraction is represented by point A on the number line?

PLEASE HELP MEEEE I WILL TRZY TO MARK BRAILEIST PLEASE PLEASE!!!!A number line going from negative 1 to positive 1. There are 3 equal spaces between each number. Point A is 1 mark to the left of 0.
–1
Negative one-third
One-third
1

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this help

Plssss helppp I don’t have timeeee

Answers

Answer:

The answer is 3.2

Step-by-step explanation:

8/5 = 1.6

Transfer over to second triangle:

2*1.6 = 3.2

PLEASE HELP,, MARKING BRAINLIEST!!!

Choose the similarity statement that best represents the triangles. Provide evidence.

A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.

Answers

Answer:

D.Triangles are not similar

Answer:

The best option would be c

Step-by-step explanation:

C

because the ration of all the three respective sides are similar as follows:

3/2 = 1.5

4.5/3 = 1.5

6/4 = 1.5

so basically the second triangle is just 1.5 times bigger than the first triangle and since ratio of all the three sides are similar SSS should be the similarity.

Question 1 (1 point)
Which table represents the same linear
relationship as y=2x-5?

Answers

Answer:

i think the answer is B

Step-by-step explanation:

hope this helps you ;)

B. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Zach bought 8 pieces of bubble gum that were $0.20 each. He used a number line to find the total cost. Choose the numbers to complete the sentences.

Zach started on the number line at 0.2 for the cost of one piece of gum. He moved
_____
hash marks. The total cost is
_____

Answers

Answer:

He moved 7 hash marks and the product is $1.60

Step-by-step explanation:

It’s says he starts at 0.2 on the number line, so that’s the second hash mark after the 0. If you move to the right on each hash all the way til the 2, you moved 7 times.

The product of 8 x .20 = 1.60

Zach started on the number line at 0.2 for the cost of one piece of gum he moved  1.4 hash marks and the total cost is 1.6 dollars.

What is a number line?

A number line is a horizontal one-dimensional line where we can plot any real number called the real number line. The origin of a real number line is denoted with a value of zero.

Zach bought 8 pieces of bubble gum that were 0.2 dollars each.

If we assume x as the no. of pieces then this can be represented as,

0.2x, where x ∈ N, [1, 8].

Zach started on the no. line at 0.2  for the cost of one piece of bubble gum.

∴ The cost of 8 pieces of bubble gum is (0.2×8) = 1.6 dollars.

So, he moved (1.6 - 0.2) = 1.4 on the number line.

learn more about number line here :

https://brainly.com/question/13425491

#SPJ2

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
0 4
O 6
08
0 10

Answers

In:mi

2 = 30

x = 120


2/30=x/120

(Cross Multiply)

30x= 240

30x/30=240/30

X=8



Answer:

8

Step-by-step explanation:

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