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amid [387]
2 years ago
15

What is the value of b ?

Mathematics
1 answer:
HACTEHA [7]2 years ago
6 0

Two polynomials are equal if the coefficients are equal.

x^3+(3+b)x^2+(3b-2)x-6\\\downarrow\qquad\ \ \downarrow\qquad\qquad\ \ \ \ \downarrow\\x^3\ +\ \ 6x^2\ \ \ \ +\ \ \ \ \ 7x\ \ -\ 6\\\\x^3\to1=1\\x^2\to3+b=6\\x\to3b-2=7\\constans\to-6=-6\\\\3+b=6\ \wedge\ 3b-2=7\\\\3+b=6\ \ \ |-3\\b=3\\\\3b-2=\ \ \ \ |+2\\3b=9\ \ \ \ |:3\\b=3\\\\Answer:\ \boxed{b=3}\to\boxed{B.}

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If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?
Xelga [282]

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

5 0
3 years ago
Use what you already know to find a, b, and c.
Valentin [98]

Answer:

Use the "find vertically opposite angle" method.

a = 80°

To find the other angles:

Since the angles equal up to 360 which makes a full circle shape...

360 - 80 - 80 = 200 (B and C)

200 ÷ 2 = 100 (Angle for B and C since they are vertically opposite, hence having the same angle)

b = 100°

c = 100°

8 0
3 years ago
I WILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND ANSWER IT IN 5 MINS!!!!
melomori [17]

Answer:

I believe its 5 and 11

Step-by-step explanation:

Sorry if this is wrong feel free to correct me! <3

4 0
2 years ago
Read 2 more answers
1 poin
mars1129 [50]

Answer:

The building is 187.5 feet tall.

Step-by-step explanation:

A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.

This means that the relation between the real height and the shadow is given by:

\frac{6}{8} = \frac{3}{4}

A tall building casts a shadow that is 250 feet long. How tall is the building?*

The real height is three fourths of the shadow. So

\frac{3}{4}*250 = 187.5

The building is 187.5 feet tall.

8 0
2 years ago
For one batch of cookies, the ratio of ounces of butter to ounces of flour is 2 to 3
dezoksy [38]

Answer: For 3 Batches, 6 butter & 9 flour

For 5 Batches, 10 butter & 15 flour

Step-by-step explanation:

1 Batch = 2:3

So, whatever we times up by in batches we can do the same to the ingredients.

1 batch = 2:3

multiply 3

3 batches = 6:9

and so on…

3 0
2 years ago
Read 2 more answers
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