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Dmitrij [34]
2 years ago
15

Find the opposite of the integer −(−14).

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
8 0

Answer:

14

Step-by-step explanation:

You multiply the negatives and then you get the positive.

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Leno4ka [110]

Add a point at (0.-2) then go down 3 and put another point connect the dots thats it

Step-by-step explanation:

4 0
2 years ago
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Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
Find the LCM of n^3 t^2 and nt^4.<br><br> A) n 4t^6<br> B) n 3t^6<br> C) n 3t^4<br> D) nt^2
patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are n^3t^2 and nt^4.

The factored form of each term is

n^3t^2=n\times n\times n\times t\times t

nt^4=n\times t\times t\times t\times t

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t

LCM(n^3t^2,nt^4)=n^3t^4

The LCM of given terms is n^3t^4. Therefore the correct option is C.

8 0
3 years ago
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Please answer this question now in two minutes
Nataly_w [17]

Answer:

Ray WV and Ray WX.

Step-by-step explanation:

A ray is a line that has a fixed starting point, but no end points. It extends infinitely. You usually list points based on the way it is facing.

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5 0
3 years ago
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Suppose c was a total membership cost for m the two equations that model c are c=30m+50 an c=20m+100
Maksim231197 [3]

Answer:

5 months

Step-by-step explanation:

Given

c = 30m + 50

c = 20m + 100

Required [Missing from the question]

At what month will the cost be equal

To do this, we equate both expressions

c = c

This gives:

30m + 50 = 20m + 100

Collect like terms

30m - 20m = 100 - 50

10m = 50\\

Solve for m

m = \frac{50}{10}

m = 5

8 0
2 years ago
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