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3 years ago

When factoring to reveal the roots of the equation x² + 2x° - 9x- 18 = 0, which equations

Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

1 and 3 only answer is number 2

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

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

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

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

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

Now we can use the following identity:

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

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It c

iren [92.7K]

It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

According to given statement;

x+y=12 Eqn 1

y = x-2 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{14}{2}\\x=7$

Putting x=7 in Eqn 2

$y=7-2\\y=5$

It cost $5 for his brother's ticket.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40

alina1380 [7]

Answer:

A (50)

Step-by-step explanation:

Mean is the total numbers added up divided by the # of numbers.

There are 6 numbers.

51 + 60 + 80 + 32 + 47 + 30 = 300

300/6 = 50

Therefore, the answer is A.

7 0

2 years ago

Read 2 more answers

12. A carpenter made two tables. The first table is 4 feet

Arte-miy333 [17]

Answer:

a. True

b. True

c. False

d. False

Step-by-step explanation:

<u>First Table</u>

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

<u>Second Table</u>

The second table is half as long as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one fourth the area of the first table.

Area of Second Table = $\frac{1}{4}$ X Area of first table

5w= $\frac{1}{4}$ X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second table is 2 feet.

(b) The area of the second table is 10 square feet.

6 0

2 years ago

Find the product by using box method. (x+2)(x-4) show work please

LenaWriter [7]

Attached is your solution: simply set up the box as shown, then find the product of each in individual square in the box. The solution is the sum of the products... Note that when multiplying two binomials, you'll have like terms on one diagonal.

Hope this helps.. let me know if you have questions.

3 0

2 years ago