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Kitty [74]
2 years ago
11

Progress:

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

\frac{4x}{4}\geq \frac{8}{4}

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

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What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

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

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

\cos x=\frac{1}{\sec x}

On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
3 years ago
Two points on the graph of a function are used to determine the average rate of change over the interval between them. Calculate
dlinn [17]

Answer:

Step-by-step explanation:

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3 0
3 years ago
6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
irina1246 [14]

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

  • If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

6 0
3 years ago
0.84 is 10 times as much as....<br><br> Could you please explain why?
Olegator [25]
0.084 is the answer because 0.84 divided by 10 is 0.084
6 0
3 years ago
I have a Brainliest please help me
Marat540 [252]

40 * 7.85 = 314

32.24 + 24.02 + 24.53 = 80.79


314 - 80.79 = 233.21

 Answer is D

6 0
3 years ago
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