1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rus_ich [418]
2 years ago
14

Need answer to question 19 please !!

Mathematics
1 answer:
grigory [225]2 years ago
4 0

Answer:

<u>(1/3)</u> / (x+1) + <u>(-1/3)</u> / (x+4)

Step-by-step explanation:

1 / (x+1)(x+4) = (A/x+1) + (B/x+4)

1 =  ((A/x+1) + (B/x+4)) * (x+1)(x+4)

1 = A*(x+4) + B*(x+1)

* if x = -4

1 = A*(-4+4) + B*(-4+1)

1 = B*(-3)

B = -1/3

** if x = -1

1 = A*(-1+4) + B*(-1+1)

1 = A*(3)

A = 1/3

check: (1/3)/(x+1) + (-1/3)/(x+4) = ((1/3)*(x+4))/((x+1)(x+4)) + ((-1/3)*(x+1))/((x+1)(x+4))

==> ((1/3x + 4/3)+(-1/3x - 1/3)) / ((x+1)(x+4)) = 1 / (x+1)(x+4)

You might be interested in
Find x<br><br><br><br><br> Thanks for the help in advance!
Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

7 0
3 years ago
What is the area of the given shape?
AlekseyPX
Sorry my hand writing isn’t the best but here is the work for it and the answer would be (228in)

7 0
3 years ago
Read 2 more answers
A recent poll of 700 people who work indoors found that 278 smoke. if the researchers want to be 98% confident of their results
Mice21 [21]

Answer:

We are given:

\hat{p}=\frac{278}{700}=0.397

z_{\frac{0.02}{2}}=2.33 is the critical value at 0.02 significance level

E=0.035 is the margin of error

Therefore, the required sample size is:

n=\hat{p}(1-\hat{p}) \left(\frac{z_{\frac{0.02}{2}} }{E} \right )^{2}

      =0.397(1-0.397) \left( \frac{2.33}{0.035} \right)^2

      =0.239391 \times 4431.755102

      =1060.922286 \approx 1061

Therefore, the required sample size n = 1061


5 0
3 years ago
Please &amp; thankssssss
malfutka [58]
Multiply both sides of the equation by 28 4y+7=10
Then move constants to the right side and change its sign 4y=10-7
Now subtract the numbers 4y=3 divide both sides by 4 so your answer is y=3/4
8 0
3 years ago
A triangle has sides of length 18,80,82 is it a right triangle
Katena32 [7]
No the triangle is not a right triangle
8 0
3 years ago
Other questions:
  • John took a 5 ½ mile walk to his friend’s house. He left at 11 a.m. and arrived at his friend’s house at 1 p.m. What was John’s
    9·1 answer
  • Geometric mean of 16 and 30
    10·2 answers
  • I don’t know the answer to 7+x=12 it is pre algebra please help me
    11·2 answers
  • The shape on the left is transformed to the shape on the right. Figure A B C D is rotated to form figure A prime B prime C prime
    15·2 answers
  • Helppppppp. Find k if the lines 3x-5y=9 &amp; 2x+ky=11 are a)parallel and b)perpendicular
    13·2 answers
  • 1. The lease common multiple of 3, 4, 6, and 8 is<br> OA. 8.<br> OB. 24.<br> O C.72.<br> OD.96.
    15·2 answers
  • 0.965 x 102 help me plz​
    11·2 answers
  • How much coffee will each person get if 3 people share 1/2 pound of coffee? please answer rn
    10·2 answers
  • (GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your
    12·1 answer
  • 17. How much longer is the Amazon River than
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!