What is the correct form of the partial fraction decomposition for StartFraction 6 x + 7 Over (x + 2) squared EndFraction?


StartFraction A Over x + 2 EndFraction + StartFraction B Over (x + 2) squared EndFraction

StartFraction A Over x + 2 EndFraction + StartFraction B x + C Over (x + 2) squared EndFraction

StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C Over (x + 2) squared EndFraction

StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C x + D Over (x + 2) squared EndFraction

By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..

Given the following data:

Adjacent side = 4 inches

Opposite side = 4 inches.

In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.

Mathematically, Pythagorean's theorem is given by this formula:

c² = a² + b²

Where:

Substituting the given parameters into the formula, we have;

c² = 4² + 4²

c² = 16 + 16

c² = 32

c = √32 inches.

Read more on Pythagorean theorem here: https://brainly.com/question/16176867

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Answer:

x=16/3

x=5 1/3

x=5,3333333.....

Step-by-step explanation:

x+2/3= 6

x= 6-2/3

x=16/3

x= 5 1/3

x=5,33333333333......

I hope this will help you

Answer:

M=1

Step-by-step explanation:

m-1/4=3/4 add 1/4 to both sides and you get m=1

Answer:

M = 1

Step-by-step explanation:

M-1/4=3/4

add 1/4 to both sides of the equation:

M - 1/4 + 1/4 = 3/4 + 1/4

simplify:

M = 1

Answer:

$305

Step-by-step explanation:

4 tickets = $122     <-- divide by 4

1 ticket = $30.5       <-- multiply by 10

10 tickets = $305

Answer:

305

Step-by-step explanation:

122 +122=244

122 divided by 2=61

244+61=305

Answer:

2 more people each day.

Step-by-step explanation:

We are given the following relation:

[tex]d = \frac{192}{n}[/tex]

In which d is the number of days that will take to run a marketing campaign with n people.

Alex’s company will take 32 days to run the campaign.

So the number of people in his campaign is given by:

[tex]32 = \frac{192}{n}[/tex]

[tex]32n = 192[/tex]

[tex]n = \frac{192}{32}[/tex]

[tex]n = 6[/tex]

Shay’s company will take 24 days to run the campaign.

So the number of people in her campaign is given by:

[tex]24 = \frac{192}{n}[/tex]

[tex]24n = 192[/tex]

[tex]n = \frac{192}{24}[/tex]

[tex]n = 8[/tex]

Shays company will have to use more people each day than alex’s company. how many more?

8 - 6 = 2

Answer:

Maria's homework time is now 9 hours 12 minutes.

Step-by-step explanation:

Since Maria decides to increase her homework time by 15%.

Then,

15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours

                        = 0.15 x 8 hours

                        = 1.2 hours

(Note that: 1.2 hours = 1 hour 12 minutes)

15% of 8 hours = 1 hour 12 minutes

her new homework time = 8 hours + 1 hour 12 minutes

                              = 9 hours 12 minutes

Maria's homework time is now 9 hours 12 minutes.

Answer:

either $180 or $90?

Step-by-step explanation:

first i think you divide 90 by 2, which gives you 45. multiply 45 by 3, which is 135, then multiply 45 by 1, which is just 45. add those together and you get 180. i'm not too sure what you're looking for in the question, but if you're looking for the difference between what he bought them for, it'd be $90. if youre looking for how much he got from those apples, it's $180. hope that helps :)

Answer:

B C D

Step-by-step explanation:

uhhhhhhhhhhhhhhhhhhhh I think B and D are the same thing but okayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy.

Answer:

a. x^2+2xy+y^2

Step-by-step explanation:

I hope this helps

(10+77-12)+(-672-18+51)

(87-12)+(-690+51)

75+(51-690)

75-639

-564

---

hope it helps

Answer:

B

Step-by-step explanation:

Anything times zero is zero, so any whole number can be the second one so long as the first is 0.

The sum doesnt have to equal zero because non zero numbers multiplied by zero still equal zero.

Answer:

30

Step-by-step explanation:

6/10 of 20 is 12

7/14 of 12/15 is 1/2 of 4/5 which is 2/5

so you have to compute 12 ÷ 2/5 which is done as 12 times (5/2) which is 30.

Answer: Loss, 200 Rs

Step-by-step explanation:

Given

Sharad bought  a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]

So, the cost price of onion is

[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]

He sells it at [tex]18\ \text{Rs. per kg}[/tex]

Here, the Selling price is less than the cost price

So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]

For a quintal it is

[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]

[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]

Answer: x = 3

isolate x by adding 4 to each side

2x = 6

Divide by 2 to get x

x = 3

Answer:

Step-by-step explanation:

you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???  

some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.

Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this.   Ask about it if you don't get it.  :)

Sin(45) / c   = Sin(45) / 3  

now algebraically solve for c

3* Sin(45) / Sin(45)  = c

if you're thinking the answer is 3 you're right.

indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs.   so  you know that x = 3 right away from that, but, it's good to understand Law of Sines as well.  :)  

Answer:

135°

Step-by-step explanation:

angle x spans throughout two angles, 75° and 60°, so it is the sum of the two. It could not be any of the answers you gave.

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.

Let us find the sample score that corresponds to z-score of bottom 4%.

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected

Answer:

6.30 millimeters and 6.50 millimeters.

Answer:

Answer is in her photo

Step-by-step explanation:

i dont remember need the points though

Answer:

Radius = 5.75

Circumference = 36.13

Step-by-step explanation:

Here we have the diameter, and the radius is half of the so 5.75. For the circumference, we can use the formula C=2πr

Answer:

The answer is 6cm

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

x=180-73

x=107

hope it helps

Answer:

(x,y) = (4,3), (20,35)

Step-by-step explanation:

3x²+ 2x = y²- y + 50

2x = y +5

y=2x-5, sub into 3x²+ 2x = y²- y + 50

[tex]3x^2+2x=(2x-5)^2-(2x-5)+50\\3x^2+2x=4x^2-20x+25-2x+5+50\\0=x^2-24x+80\\x=20 ,4\\[/tex]

sub into y=2x-5

y= 35, 3

Answer:

I'm gonna go with the first choice because it's rational.

Step-by-step explanation:

Answer:

pi is the answer

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

(4, -3) reflected over the X axis is (4,3)

Step-by-step explanation: