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kkurt [141]
3 years ago
12

Simplify the expression. show your work. 22 (32 – 42)

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0
If you would like to simplify the expression 22 * (32 - 42), you can do this using the following step:

22 * (32 - 42<span>) = 22 * (-10) = - 22 * 10 = - 220
</span>
The correct result would be - 220.
Alik [6]3 years ago
4 0
22(32-42)= 22(-10)
so, 22(-10)= -220
Do the math that has brackets first.
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For what values of x∈[0,2π] does the graph of y=x+2cosx have a horizontal tangent?
Katen [24]

Answer: x = pi/6 and x = pi/3.

Step-by-step explanation:

We have the function:

y = x + 2*cos(x)

It will have a horizontal tangent at the point where it's derivate is equal to zero.

Then first let's differentiate y.

y' = dy/dx = 1 - 2*sin(x).

Then we must find the value of x between 0 and 2*pi (or 0° and 360°)

y'(x) = 1 - 2*sin(x) = 0.

Let's solve that:

2*sin(x) = 1

sin(x) = 1/2.

We know that:

sin(30°) = 1/2.

and

Sin(120°) = 1/2

Then let's convert 30° into radians.

We know that:

pi = 180°.

Then:

pi/180° = 1.

30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6

120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.

Then the two values of x are: pi/6 and pi/3.

3 0
2 years ago
The women'schorus has 33members. How many quartetscan be formed? How many singers will be left over?
andreyandreev [35.5K]

Answer: 8 quartets can be formed.

1 singer will be left over.

Step-by-step explanation:

A quartet is a group of 4 members.

Given: The women'schorus has 33 members.

The number of quartets can be formed = (Total members) divided by (4)

= 33 ÷ 4

By solving 33 ÷ 4  we get 8 as quotient and remainder as 1 such that

33 = 4 x 8 +1

Hence, 8 quartets can be formed.

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8 0
3 years ago
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Answer:

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p-by-step explanation:

7 0
2 years ago
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\large \mathfrak{Solution : }

Slope of the given line is :

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where ,

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4 0
2 years ago
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