In the following diagram, a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches. Which of the following represents the area of the shaded region, rounded to the nearest tenth of a square inch?

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]

and:

[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

Answer:

0.78¢

Step-by-step explanation:

if 3.5 lbs of bananas is $2.73, then we need to divide each side by 3.5 to get 1 lb of bananas

1 lb = 0.78¢

To check our work, we can do 0.78x3.5 = 2.73

Hope this helps! Please mark Brainliest if this helped :)

Answer:

Read explanation

Step-by-step explanation:

x+4=15

-4=15-4

x=11

0.4 is the scale factor (similarity) between the two triangles, so multiply 25 x 0.4 to get y value.

Y= 10

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Answer:

4. 1,5, 25, 125,_

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

if it's supplementary then the two angles add up to get 180.

180-170=10

Answer:

I think its 75

Step-by-step explanation:

I am honestly not very sure myself but I did really do this

Answer:

60 minutes

Step-by-step explanation:

3 hours = 180 minutes

180 - (50 + 40 + 30) = 180 - 120 = 60

Answer:

These are obtuse, right, and acute *triangles*

Step-by-step

Keyword: Triangle.

Hope that helped.

(Saw that this was one minute ago so might as well help, right?

Answer:

8.0

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (19, 20)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (-3x +8y) +(-5x -8y) = (103) +(-255)

  -8x = -152

  x = 19 . . . . . . . divide by -8

Substituting into the first equation, we have ...

  -3(19) +8y = 103

  8y = 160

  y = 20

The solution is (x, y) = (19, 20).

Answer:

B: y * [tex]y^{3}[/tex]

Step-by-step explanation:

[tex]y^{4}[/tex]= y*y*y*y

Answer:

Option c ==> 5/12 is the answer

Answer:

61.3°

Step-by-step explanation:

For angle x, 12 is the adjacent leg. 25 is the hypotenuse.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

cos A = adj/hyp

cos x = 12/25

x = cos^-1 12/25

x = 61.3°

Answer:

110

Step-by-step explanation:

5-5 cancel out

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Thanks!

Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

Answer: A=48

Step-by-step explanation:

Answer:

1.5x+3

Step-by-step explanation:

......

.

..........

Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

3 + 2 + 4 + 2 + 6 = 17

6/17, it cant be simplifed

Answer:

4.375

Step-by-step explanation:

Taking off the length, we know you need to subtract. We can write out the answer as 8-3.625 which is 4.375.

By the way can you follow me on Brainly?

Thanks!

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary.

  (9x +15) +(6x +15) = 180

  15x +30 = 180 . . . . . . . . . . simplify

  15x = 150 . . . . . . . . . subtract 30

  x = 10 . . . . . . . . divide by 15

Answer:

18. h = 14.4

19. h = 4.23

20. h = 15.28

21. h = 11.46

All answers are rounded to two decimal places.

Step-by-step explanation:

18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.

x = (a * b)/c

x = (18 * 24)/30

x = 432/30

x = 72/5

x = 14.4

19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)

24/sin(80)

24/0.98480775

24/1 * 4000000/3939231

8/1 * 4000000/1313077

32000000/1313077

24.3702388

Now to find the first leg, which will be the height of the entire triangle.

x = √c² - b²

x = √24.3702388² - 24²

x = √593.908539 - 576

x = √17.908539

x = 4.23184818

x = 4.23

20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.

20/sin(60)

20/0.8660254

20/1 * 5000000/4330127

100000000/4330127

23.0940109

√23.0940109² - 20²

√533.333339 - 400

√133.333339

11.5470056

î The answer above is leg 2 of the smaller triangle.

x = √10² + 133.333339

x = √100 + 133.333339

x = √233.33339

x = 15.2752525

x = 15.28

21. There is no need to figure out what the height is. The entire triangle is 45-45-90.

x = (√18² + 18²) - 15

x = (√324 + 324) - 15

x = (√648) - 15

x = 25.46 - 15

x = 11.46

Answer:

1.-34+24=10

2. 56-100=44

3.-5×-9=45

4.-27/9=3

5.243/(-3)=21

6.45×-13= 585

7.8-12=9

8.-20+(-20)=40

9.3-(-7)= 10

10.31×-5=155

11.1000/(-10)=100

12.-2×0=0

13.25-24=1

14.24+40= 64

15.6+(-9)=3

16.-63/7=9

17.-50×-20=1000

18.-7×-8=18

19.9-(-10)=19

20.0×-100=0

Answer:

1.-34+24=10

2. 56-100=44

3.-5×-9=45

4.-27/9=3

5.243/(-3)=21

6.45×-13= 585

7.8-12=9

8.-20+(-20)=40

9.3-(-7)= 10

10.31×-5=155

11.1000/(-10)=100

12.-2×0=0

13.25-24=1

14.24+40= 64

15.6+(-9)=3

16.-63/7=9

17.-50×-20=1000

18.-7×-8=18

19.9-(-10)=19

20.0×-100=0'\

Step-by-step explanation:

0.75(0.25x+8)-(0.5x+2)=0.375(4-x)-0.25x

0.1875x+6-0.5x-2=1.5-0.375x-0.25x

0.1875x-0.5x+0.375x+0.25x=1.5-6+2

0.3125x=-2.5

x=-2.5/0.3125

x= -8

Answer:

Step-by-step explanation:

0.454545

i think

Answer:

527

Step-by-step explanation:

because i did it in the calculator

Answer:

B

Step-by-step explanation:

It would be B because she is adding 9 gallons per minute so you will have to add that to the 12,000 gallons to get w.

Answer:

232.778

Step-by-step explanation:

Answer:

232.778 °C

Never forget your symbols.

Answer:

Step-by-step explanation:

Circumference of the tire:

Number of rotations:

Answer: True

Step-by-step explanation: