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4 years ago

When the following expression is written in simplest form, what is the coefficient of the variable term? -2.5y + 8y - 10.5y

Mathematics

1 answer:

LUCKY_DIMON [66]4 years ago

7 0

Answer:

Option 1 is correct.

-5

Step-by-step explanation:

Given:

The given expression is.

$=-2.5y+8y-10.5y$

Write the given expression in simplest form.

$=-2.5y+8y-10.5y$

Add negative term of y.

$=-13y+8y$

$=-5y$

The simplest form of given expression is $=-5y$

Therefore, the coefficient of the variable term is -5

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zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Rewrite as a simplified fraction. 2. 14 ‾ = ?

SOVA2 [1]

Answer:

1/7

Step-by-step explanation:

- I can't really tell what the fraction you have is, I am assuming it is 2/14. If that is correct, simplify by finding a common number.

- Ask yourself, what can both be divided by? (Answer is 2)

- Knowing both simplify by 2, divide the numerator (top) and denominator (bottom) by 2.

- You should get 1/7 (2/2 = 1 and 14/2 = 7)

- If you have any further questions on this topic please let me know. I would be glad to help anytime!

6 0

3 years ago

Use the common multiple of 24

max2010maxim [7]

Answer:

24, 48, 72, 96, 120

Step-by-step explanation:

I can keep going on but i learned to just put at least 5 and if the person needs more then just give them ten more

8 0

3 years ago

If p-1 is a factor of p^4+p^2+p-k,the value of k is ?

hoa [83]

$1^4+1^2+1-k=0\\3-k=0\\k=3$

3 0

3 years ago

Read 2 more answers

A rectangle or prism has a volume of 60 cm³ a height of 3 cm the length of 5 cm what is the width of the prism

igomit [66]

Answer:

Step-by-step explanation:

6 0

3 years ago