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4 years ago

The solution to -12 + n = -15 is n = 3. true or false

Mathematics

2 answers:

Sonja [21]4 years ago

6 0

Answer:

False

Step-by-step explanation:

Step 1: Write out equation

-12 + n = -15

Step 2: Add 12 on both sides

n = -3

So our answer is -3 and not 3.

Stella [2.4K]4 years ago

3 0

Answer: $False$

The answer to this problem is $n=-3$

To get -3 here is the work shown

Simplify both sides of the equation

$n-12=-15$

Add 12 to both sides

$n-12+12=-15+12\\n=-3$

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1/6 + 3/8 A. 4/6 B. 4/8 C. 4/14 D. 13/24

Naddika [18.5K]

Here is you're answer:

In order to get you're answer you need to find the common denominator then add.

$\frac{1}{6} + \frac{3}{8}$
Find the common denominator:
$CD = 48$
$= \frac{26}{48}$
Simplify:
$\frac{26}{48} \div 2 = \frac{13}{24}$
$= \frac{13}{24}$

Therefore you're answer is option D "13/24."

Hope this helps!

8 0

3 years ago

Please help me with these, oh sweet jesus

Lelechka [254]

Answer:

77. $\cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} x$ Proved

78. $\sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ]$ Proved

79. $\cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x$ Proved.

80. $\sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x$ Proved.

Step-by-step explanation:

77. Left hand side

= $\cot^{6} x$

= $\cot^{4} x \times \cot^{2} x$

= $\cot^{4}x [\csc^{2}x - 1]$

{Since we know, $\csc^{2} x - \cot^{2}x = 1$ }

= $\cot^{4} x \csc^{2}x - \cot^{4} x$

= Right hand side (Proved)

78. Left hand side

= $\sec^{4}x \tan^{2} x$

= $\sec^{2} x [1 + \tan^{2}x] \tan^{2} x$

{Since $\sec^{2}x - \tan^{2}x = 1$ }

= $\sec^{2}x [\tan^{2}x + \tan^{4}x ]$

= Right hand side (Proved)

79. Left hand side

= $\cos^{3} x\sin^{2} x$

= $\cos x[1 - \sin^{2} x] \sin^{2} x$

{Since $\sin^{2}x + \cos^{2} x = 1$ }

= $[\sin^{2}x - \sin^{4}x] \cos x$

= Right hand side

80. Left hand side

= $\sin^{4}x - \cos^{4}x$

= $[\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x$

{Since $\sin^{2}x + \cos^{2} x = 1$ }

= $1 - 2\cos^{2} x[1 - \cos^{2}x ]$

= $1 - 2\cos^{2}x + 2 \cos^{4} x$

= Right hand side. (Proved)

7 0

3 years ago

A cellular phone is in the shape of rectangular prism. The height of the phone is 6 millimeters, and the width is 50 millimeters

Bas_tet [7]

Answer: 75ml

Step-by-step explanation:

The volume of a rectangular prism is:

= Length × width × height

where,

Volume = 22500ml³

Length = Unknown

Width = 50ml

Height = 6ml

We then slot the values into the formula.

Volume = Length × width × height

22500 = Length × 50 × 6

22500 = Length × 300

Length = 22500/300

Length = 75ml

The length of the cellular phone is 75ml.

5 0

3 years ago

What is the period of y=2cos(3x-2π)?

Strike441 [17]

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3 0

3 years ago

There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through

stira [4]

There are 14 possibilities for first place.
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.

Multiply them together and get 24024 possibilities.

Hope this helps!

4 0

3 years ago