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Rina8888 [55]
2 years ago
7

The first few steps in deriving the quadratic formula are shown.

Mathematics
2 answers:
Rus_ich [418]2 years ago
5 0

Answer:

• The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Step-by-step explanation:

We have to multiply the term  b2/4a2 by a in order to determine the value to add to the left side of the equation so as to balance both sides of the equation.

If we multiply the terms, we get;

\frac{b^{2} }{4a^{2} }*a=\frac{b^{2} }{4a}

Therefore, we shall be adding the term \frac{b^{2} }{4a} to the left side of the equation.

Lerok [7]2 years ago
5 0

Answer: The answer is choice B.

Step-by-step explanation:

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If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?
Alik [6]

Answer:  First option is correct.

Explanation:

Since we have given that

Radius = 11 inches

Height = 14 inches

Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.

Then,

Radius is given by

4\times 11=44 inches

Height is given by

14\times 4=56\ inches

As we know the formula for " Volume of cylinder ":

V=\pi r^2h\\\\V=3.14\times 44\times 44\times 56=340426.24\ in^3

Hence, our volume of new similar cylinder is 340426.24 cubic in.

Therefore, First option is correct.


6 0
2 years ago
Read 2 more answers
On a school bus trip, 15 out of 25 randomly selected students would like to stop for lunch. There are 55 students on the bus. Ba
allochka39001 [22]

Answer:

Step-by-step explanation:

im pretty sure its 35/55

because 25*2

=50+2

=55

15*2

=30+2

=35

3 0
2 years ago
According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Sup
fomenos

Answer:

0.54,0.8,0.368

Step-by-step explanation:

Given that according to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone.

Prob for persons who read email while talking on the phone = 54% = 0.54

Prob for persons who read email while talking on the phone to write to do lists = 0.20

Assuming that these figures are true for all workers, if a worker is randomly selected, the probability that

a. The worker reads e-mail while talking on the phone and writes personal "to-do" lists during meetings.

p =0.54

b. The worker does not write personal "to-do" lists given that he reads e-mail while talking on the phone.

p =1-0.20=0.80

c.The worker does not write personal "to-do" lists and does read e-mail while talking on the phone.

p=(1-0.20)(1-0.54)  = 0.368

8 0
2 years ago
A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A w
SVETLANKA909090 [29]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar
Leokris [45]

Answer:

1225.23 inches³ <em>OR</em>  390π inches³ ⇒ answer C

Step-by-step explanation:

* Lets revise the rule of the volume of any cone

- The volume of the cone = 1/3 × area of the base × its height

- The base of the cone is a circle

- Area of the circle = πr² , where r is the radius of the circle

- The volume of the cone = 1/3 × πr² × its height

* Lets solve the problem

∵ The radius of the small cone is 3 inches

∵ Its height is 5 inches

∴ The volume of the small cone = 1/3 × π (3)² × 5 = 47.12 inches³

∵ The radius of the larger cone is 9 inches

∵ Its height is 15 inches

∴ The volume of the large cone = 1/3 × π (9)² × 15 = 1272.35 inches³

- The small cone is cutting from the large cone , then the volume of

  the resulting part is the difference between their volumes

∵ The volume of the resulting part = Large volume - small volume

∴ The volume of the resulting part = 1272.35 - 47.12 = 1225.23 inches³

∴ The volume of the resulting part is 1225.23 inches³ <em>OR</em> 390π inches³

5 0
2 years ago
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