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3 years ago

The equation sec2x- 1 = tan2x is an identity O O A. True B. False

Mathematics

1 answer:

creativ13 [48]3 years ago

3 0

Answer:

A. True.

Step-by-step explanation:

I am assuming that it's

sec^2 x - 1 = tan^2 x

Now sec^2 x - 1 = 1 / cos^2 x - 1

= (1 - cos^2 x) / cos^2 x

But 1 - cos^2 x = sin^2 x

so sec^2 x - 1 = sin^2 x / cos ^2 x

= tan^2 x.

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3 years ago

The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams. The combined weight of one die

olya-2409 [2.1K]

Answer:

The total weight of one die, one ball, and one marble is 75 grams.

Step-by-step explanation:

Consider the provided information.

Let d represents the number of dice, b represents the number of balls and m represents the number of marbles.

So according to the question.

The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams.

$2d+5b+4m=260$ ....(1)

The combined weight of one die and one marble was 55 grams.

$d+m=55$

$m=55-d$ ....(2)

3 balls weighed the same as two dice.

$3b=2d$

Multiply both sides by 5 and divide by 3.

$5b=\frac{10}{3}d$ .....(3)

Now put the value of equation 2 and 3 in equation 1.

$2d+\frac{10}{3}d+4(55-d)=260$

$2d+\frac{10}{3}d+220-4d=260$

$\frac{6d+10d-12d}{3}=40$

$4d=120$

$d=30$

Put d=30 in equation 2.

$m=55-30$

$m=25$

Put d=30 in equation 3.

$5b=\frac{10}{3}\times 30$

$5b=100$

$b=20$

The total weight (in grams) of one die, one ball, and one marble is:

$d+m+b=25+20+30$

$d+m+b=75$

The total weight of one die, one ball, and one marble is 75 grams.

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3 years ago

Solve by substitution 3x - 3y = -6 z=-3x-3y+9 -4x+5y+z=8

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3 years ago

HELP 15 POINT AND WILL MARK BRIANLYEST. Emma said that when you multiply three negative decimals, the product will be positive.

baherus [9]

Answer:

A)Her statement is not correct because a negative times a negative is a positive but if you times it by negative again then it will be negative again not positive

B)(–3) – (–5) = (–3) + 5 = 2

c)Yes she is correct

5 – (–3) = 5 + 3 = 8

(–3) – (–5) = (–3) + 5 = 2

Step-by-step explanation:

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4 years ago

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What is 1/3 x 12 help me quick

MArishka [77]

Answer:

12/3 = 4

Step-by-step explanation:

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3 years ago

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