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2 years ago

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Mathematics

1 answer:

quester [9]2 years ago

7 0

1) 24
2) (-8)

Hope this helps

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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function $\sin^2 x +\sinx-2$

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

$\sin^2 x +2\sinx-\sin x-2$

Now, we group the first two terms and the last two terms

$(\sin^2 x +2\sinx)+(-\sin x-2)$

Now, we take GCF from each group

$\sin x(\sin x +2)-1(\sin x+2)$

Factor out (sinx+2)

$(\sin x +2)(\sin x-1)$

Therefore, the factored form is (sin x +2)(sin x-1)

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3 years ago

Read 2 more answers

3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to

Len [333]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

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1 year ago

What’s the range of ()=−4|−2|−3

Tpy6a [65]

Answer:

Step-by-step explanation:

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2 years ago

A scuba diver is 314 feet below the surface of the water. The angle of depression the diver makes with her boat is 39

dezoksy [38]

Answer:

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2 years ago

What is the ratio for 45 miles and 0.75 hours

alisha [4.7K]

Answer:

I'm pretty sure it is 60 miles per hour (60:1)

Step-by-step explanation:

I used a unit rate calculator

Sorry if I'm wrong

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3 years ago