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diamong [38]
3 years ago
9

2. Angelica reflects ABCDE over the yaxis and translates to Does her transformed figure match A'B' C D'Ef not describe honored f

igure compares to A"B" C" D'E Wuitenwein besondebele​
Mathematics
2 answers:
Monica [59]3 years ago
5 0

Answer:

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do u like it

Step-by-step explanation:

bekas [8.4K]3 years ago
5 0

Answer:

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spogebub

Step-by-step explanation:

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Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
2 years ago
A nugget of gold is placed in a graduated cylinder that contains 85 mL of water.the water level rises to 225 mL after the nugget
Rufina [12.5K]
To get the volume of an object, one of the oldest techniques is to fill a container with water of which we know the volume (in this case 85mL), and drop the object in. The water will rise and show a new volume (225mL). If we subtract the old volume (85) from the new volume (225), we will get the volume of the object (225 - 85 = 140).
8 0
3 years ago
jose bought 4 comic books and 2 nonfiction books. the 4 comic books cost him 8y dollars.if the cost of one nonfiction book is (3
professor190 [17]

write out the equation:

8y=3+7y  (I'm assuming y is the amount of comic books)
8=3+7
8=10

Obviously the equation isn't equal. The nonfiction is greater. By the way, I took out the y because I assumed that y was the amount of books and there was no need to write out 8 times one. On a test, make sure you specify this of the teacher may take off points, if she is using Common Core.

3 0
3 years ago
What is the equation of the line that passes through the point (−3,4) and has a slope of 1 ?
Juli2301 [7.4K]

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

4 0
3 years ago
Read 2 more answers
Rao is x years old now and Pau is 12 years older than Rao. In two years Pau will be exactly twice as old as Rao is then. How old
Ratling [72]
Rao is 5 years old. In two years he will be 7 and Pau will be 14. Now minus 2 by 7 and you get 5.
6 0
3 years ago
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