Please help I’m struggling on this question.

Please Help Im Struggling On This Question.

Answers

Answer 1

Answer: [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]

Step-by-step explanation:

To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.

[tex]\frac{y+4}{y-8} +\frac{y-8}{y+4}[/tex]                      [multiply first fraction by y+4 and second by y-8]

[tex]\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}[/tex]   [distribute by FOIL]

[tex]\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}[/tex]   [add numerator]

[tex]\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}[/tex]         [combine like terms]

[tex]\frac{2y^2-8y+80}{(y-8)(y+4)}[/tex]                       [factor out 2 from numerator]

[tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]                  

Now we know that [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex] is the factored form after adding.


Related Questions

What is the slope of a line that is perpendicular to the graphed line?

Answers

Answer:

2

Step-by-step explanation:

To find the slope of the graphed line, you take two points. I have chosen (0, 4) and (8, 0)

The formula of a slope is (y value of second point [tex]-y[/tex] value of first point) divided by (x value of second point [tex]-x[/tex] value of first point):

[tex]\frac{0-4}{8-0} =-\frac{1}{2}[/tex]

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

The slope for a perpendicular line is 2.

I use 1.48 inches of ribbon to make 4 necklaces. How much ribbon did I use for each necklace?

Answers

0.37 inches on each necklace or 37/100.

You just need to do 1.48 divided by 4.

Hope this helps !!!
You should go to sleep soon you have school tomorrow!!
Also make sure you ate today !

Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the carnations must be 1 to 3. She determines that she will need 8 orange carnations for the bouquet. Which statement correctly describes her error?

Answers

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The area of the circle is 78.5 units. What is the radius? Use 3.14 for pi.

Answers

The radius is 5
5 x 5 = 25
25 x 3.14 = 78.5

Calculate the mean, median, and mode for the set 7, 9, 8, 8, 10, 9, 8, 7, 8, 6, 9, 5, 6, 8, 9, 7, 7, 8, 10, 8 please answer asap

Answers

Step-by-step explanation:

Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8

Answer:

Mean= 7+9+8+8+10+9+8+7+8+6+9+5+6+8+9+7+7+8+10+8/20= 7.85

Mode= 8(the most repeated number)

Median= 7+8/2=7.5 (the two numbers in the middle divided 2)

What is the degree of 5x3 + 2x2y3z?

Answers

Answer:

stylo fabric customer care 9903160322##8944928267

Answer:

the degree is the largest exponent on the variable

answer - 6


6,8,10,11. 12, 14, 18, 18,30
Create a box plot to display the data.

Answers

Answer:

dunny but 4950

Step-by-step explanation:

4960-

Solve for M
D=m/v
Show your work

Answers

Answer: m=vD

Step-by-step explanation:

To get m alone, you want to use algebraic properties.

[tex]D=\frac{m}{v}[/tex]                  [multiply both sides by v]

[tex]m=vD[/tex]    

Now that we have mass alone, we know that m=vD.

^ THEY ARE CORRECT ! you must multiply both sides

How do you solve this kind of equation? 9(x+2) > 9(x-3)

Answers

Step-by-step explanation:

okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.

Answer:

0>-45

True for all x

Step-by-step explanation:

[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]

5) Adam bought 5 DVDs that cost $12.95
each. How much did Adam spend
before taxes?

Answers

Answer:

  $64.75

Step-by-step explanation:

You can add $12.95 five times:

  $12.95 +12.95 +12.95 +12.95 +12.95 = spending

but it is probably easier to use multiplication:

  5 × $12.95 = spending = $64.75

Adam spent $64.75.

Answer:

64.75

Step-by-step explanation:

So you have 5 DVDs bought and 12.95 for each.

12.95 x 5

12.95 + 12.95 = 25.90

25.90 + 12.95 = 38.85

38.85 + 12.95 = 51.80

51.80 + 12.95 = 64.75

So your answer is $64.75

Fourteen decreased by twice a number equals -32. Write an equation for this equation and then find the number

Answers

Answer:

-32=2x-14

Step-by-step explanation:

-32=2x-14

-18=2x

-9=x

Answer:

2x-14 =-32

Step-by-step explanation:

A. 28
B. 24
C. 20
D. 18
E. 16

Answers

Answer: A

Step-by-step explanation:

The area of a square is 36 square cenitmeters what is the length of each side of the square​

Answers

My answer is 9
(Could be wrong)

Answer:

6

Step-by-step explanation:

A = S²

36 = S²

[tex]\sqrt{36}[/tex] = [tex]\sqrt{S^{2} }[/tex]

6=S

HELLPP WILL MARK YOU BRAINLIEST

Answers

Answer:

≈ 7.28

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)

AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]

     = [tex]\sqrt{2^2+7^2}[/tex]

     = [tex]\sqrt{4+49}[/tex]

     = [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )

2p²q³×5pq÷10p³q⁴ PLEASE SOLVE THIS EQUATION WITH WORKING. THANK YOU!

Answers

Answer: p^6q^8

Step-by-step explanation:

write two inequaltities to compare -5 and -3​

Answers

-5 < -3 and the second inequality is -3 > -5

ali is writing a computer program. last week he wrote 25 lines of code each day for 5 days. this week her wrote 42 more twice the number of lines of code he wrote last week. how many lines of code he wrote altogether for his computer program

Answers

Answer:

292 lines of code

Step-by-step explanation:

1.) Multiply.    25 times 5 = 125

2.) Multiply previous answer by 2 (because he wrote twice as much).             125 times 2 = 250

3.) Add 42 to previous answer.    250 + 42 = 292

Can someone answer fast.plsss

Answers

Answer:

a

Step-by-step explanation:

sec (thita) = squrt (5)

squaring on both sides:

sec^2 (thita) = 5 - equation 1

1 + tan^2 (thita) = 5

tan^2 (thita) = 4

tan (thita) = 2.

= tan (thita) - squrt(5)sin(thita)

= 2 - squrt(5) x 2/ squrt(5)

= 0

from eqn - 1

sec(thita) = squrt(5)

cos(thita) = 1/ squrt(5)

sin(thita) = squrt ( 1- 1/(squrt (5))^2)

sin(thita) = 2/ squrt(5) .

The dashed triangle is a dilation image of the solid triangle. What is the scale factor? A. 1/4 B. 1/2 C. 2/3 D. 2

Answers

Answer:

I am not good in maths but I think it is

A 1/4

A model's scale ratio is the ratio of linear dimensions. The scale factor of the triangle is (1/2).

What is the scale ratio?

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

The scale ratio of the triangle can be found by taking the ratio of any one side of the dashed triangle to the solid triangle. Therefore, the scale ratio will be,

[tex]\rm Scale\ ratio = \dfrac{\text{Length of the dashed line}}{\text{Length of the solid line}}\\\\ Scale\ ratio = \dfrac{2}{4} = \dfrac{1}{2}[/tex]

Hence, the scale factor of the triangle is (1/2).

Learn more about Scale ratio:

https://brainly.com/question/13770371

#SPJ2

got this question wrong! what is the correct answer? will give brainliest and thanks

Answers

B) 1.65 × 10⁻³
Step-by-step explanation:
A number in scientific notation has the form A × 10ⁿ.
A is a number from 1 to 10, but not 10 itself and is called the coefficient.
n is an integer and is called the exponent.
To convert a small decimal number to exponential notation, you move the decimal point to the right until you have one nonzero digit in front of the decimal point.
The exponent is negative of the number of places you moved the decimal point.
To convert 0.001 65 to scientific notation:
Move the decimal point to the right until it is just past the 1. The coefficient is 1.65
Count the number of places you have moved the decimal (three). The exponent is -3.
The number in scientific notation is 1.65 × 10⁻³.

resolve in factor x³-16x​

Answers

Answer:

x (x + 4) (x - 4)

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

Answers

Answer:

Surface Area =237.5

Answer:237.5

Step-by-step explanation:

Find the real roots of
[tex] \frac{18}{ {x}^{4} } + \frac{1}{ {x}^{2} } = 4[/tex]

Answers

see the photos above given

Answer:

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

The solutions are

[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]

The Real roots are

[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]

Step-by-step explanation:

[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]

Multiply both sides by [tex]x^4[/tex]

[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]

[tex]$18+x^2=4x^4$[/tex]

[tex]4x^4-x^2-18=0[/tex]

Substitute [tex]x^2=t[/tex]

[tex]4t^2-t-18=0[/tex]

Solving the quadratic equation using the quadratic formula:

[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]

[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]

[tex]$t=\frac{1\pm 17}{8}$[/tex]

[tex]$t_1=\frac{9}{4}$[/tex]

[tex]t_2=-2[/tex]

Now we have to solve for [tex]x^2=t[/tex]

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

Other than replacing the equal sign with some sort of inequality sign, what is the one big difference we need to keep in mind when solving a linear inequality?

Answers

Step-by-step explanation:

In response to this question,

When solving a linear equality, one difference that we must keep in mind other than replacement of = sign with some equality sign is that when we do multiplication or division with a negative number, we are then required as a must to change the direction of the inequality sign.

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:

109

Step-by-step explanation:

To solve you must work backward, she has 8 jars of 13 pieces so first do

8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109

Answer:

109

Step-by-step explanation:

If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.

In a year group of 108 students, 60 liked football,
53 liked tennis and 10 liked neither. Calculate
the number of students who liked football but not tennis.

Answers

Answer:

you know what to do that is the soup for the next couple of weeks and see how much is a ps4 controller or an official at the lot of the boy's

This is trigonometry!
I need help with what it means when it says “adjacent for 20 degrees” , “hypotenuse for 20 degrees” etc. ! Thanks

Answers

Answer:

Adjacent for 20° = 17.3mm

Hypotenuse for 70° = 120mm?

Opposite for 70° = 17.3mm

Hypotenuse for 20° = 120mm?

Adjacent for 70° = 10mm

Opposite for 20° = 10mm

Step-by-step explanation:

I think "Adjacent for 20°" is asking the length of the side adjacent to 20° (Although the Hypotenuse is adjacent to 20° don't answer its length because Hypotenuse are ALWAYS opposite to the 90° of a right triangle). The "Opposite for 70°" is asking the length of side opposite to 70°.

Also, I really don't know why the hypotenuse is 120mm because by the Pythagorean Theorem, it should 19.98mm (20mm if rounded to the nearest tenths).

Answer:

  "adjacent" is the short ray that makes up the angle. "opposite" is the side not touching the angle.

Step-by-step explanation:

Since your question text involves identifying adjacent and opposite, that's what we'll explain.

In a right triangle, the hypotenuse is the side opposite the right angle. For the purposes here, it is always referred to as the hypotenuse. It is the longest side in the right triangle.

__

Each acute angle in the right triangle has the hypotenuse on one side. The other side forming the angle is called the adjacent side.

The remaining side of the triangle (not the hypotenuse, and not the adjacent side) is the one opposite the angle. It is called the opposite side.

__

In the first attachment is a triangle with sides and angles labeled. Each angle is labeled with an upper-case letter (A, B, C), and each side opposite that angle is labeled with the corresponding lower-case letter (a, b, c). This is a customary way to label triangle sides and angles. (The right angle is not always C.)

So, for angle A, the hypotenuse is c, and the adjacent side is b. The side opposite is a.

For angle B, the hypotenuse is c (still), and the adjacent side is a. The side opposite is b.

__

The second attachment applies these ideas to your first (upper left) triangle.

__

As for the applicable formulas, the mnemonic SOH CAH TOA is often helpful. It is intended to remind you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Then the applicable formulas clockwise from left are for Cos, Sin, Cos.

"What went wrong" in the 30° triangle is that somebody used a calculator in radians mode, not degrees mode, when they tried to compute the sine. A couple of errors were made, because sin(30 radians) is about -0.988, so the minus sign was dropped, too. (You always need to check that the calculator is in the right mode.)

What is the 4th term in the sequence?

a(n) = -1/16(2)n−1

Answers

Answer:

To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8. Example.

Step-by-step explanation:

Hope this helps

An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division

Answers

Answer:

no

Step-by-step explanation:

State the y-intercept of the function: f(x) = 3x - 6 *

Answers

The y-intercept is the “b” in the equation, so for this equation it’s -6

Answer:

The y-intercept is -6.

Step-by-step explanation:

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