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3 years ago

2sinxcosx=sinx in the interval of [0,2pi]

1 answer:

5 0

Use the double angle function sin2x = 2sinxcosx.

2sinxcosx + sinx = 0

For the first part of the problem, consider the solutions on the interval where sinx = 0

x = 0, pi

Now consider the solutions where sinx does NOT equal zero.

2sinxcosx + sinx = 0

2sinxcosx = - sinx

2cosx = - 1

cosx = - 1/2

x = 2pi/3, 4pi/3

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Mixed equations. Show work please

Alex_Xolod [135]

Solving:

1)

-58 - 6x = 42 + 4x
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 6x - 4x = 42 + 58
- 10x = 100 simplify by (-1)
10x = - 100
 $x = \frac{-100}{10}$
$\boxed{x = - 10}$ 

2)

37 + 5x = -2x - 33
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
5x + 2x = - 33 - 37
7x = - 70
 $x = \frac{-70}{7}$
$\boxed{x = - 10}$

3)

27 - 9x = -6x - 39
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66
$x = \frac{66}{3}$
$\boxed{x = 22}$

3 0

3 years ago

The abbreviation for milliliters is mL or ml? The abbreviation for milliliters is mL or ml? Follow Report Abuse Are you sure you

Alex Ar [27]

The abbreviation for milliliters can be any of those two as both are equally correct and can be used internationally thanks to the SI system.

5 0

3 years ago

Yasmin purchased 6 heads of cabbage that each weighed 2 3/8 pounds. How much did the cabbage weigh all together?

nika2105 [10]

Answer:

14 $\frac{1}{4}$ pounds

Step-by-step explanation:

Here we have to use multiplication.

Yamin purchased 6 heads of cabbage.

The weight of each cabbage = 2 $\frac{3}{8}$

First let's convert the mixed fraction 2 $\frac{3}{8}$ to improper fraction

2 $\frac{3}{8}$ = $\frac{19}{8}$

The weight of 6 heads of cabbage = 6 x $\frac{19}{8}$

= 114/8

= 14 $\frac{2}{8}$

We can reduce 2/8 = 1/4

= 14 $\frac{1}{4}$

Thank you.

3 0

3 years ago

What is the product?

pochemuha

A- 1/2
1/4 x 3 2/3
Cross out the 3 and you get
1/4 x 2 = 1/2

3 0

4 years ago

What is the product of 2.678 and 9.7? A) .259766 B) 25.9766 C) 2.59766 D) 259.766

solmaris [256]

When you multiply it out by hand to get
2678 × 97 = 259766
you place the decimal point in the answer by counting the number of decimal places of the multiplicands.
2.678 has 3 decimal places
9.7 has 1 decimal place
The product of these numbers will have 3+1 = 4 decimal places, so will look like
B) 25.9766

___
You can also get there by considering that the product is about 10×2.6, so is about 26. That will tell you the decimal point goes after the first two left-most digits.

6 0

4 years ago

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