All categories

3 years ago

Does the point (8, 8) satisfy the equation y = x?

Mathematics

1 answer:

nika2105 [10]3 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

Substitute the values for the variables in the equation.

y = x

(8) = (8)

You might be interested in

True or false. Tan^2 x = 1 - cos2x/ 1 + cos 2x

koban [17]

<u>ANSWER</u>

True

<u>EXPLANATION</u>

The given trigonometric equation is

$\tan^{2} (x) = \frac{1 - \cos(2x) }{1 + \cos(2x) }$

Recall the double angle identity:

$\cos(2x) = \cos^{2} x - \sin^{2}x$

We apply this identity to obtain:

$\tan^{2} (x) = \frac{1 - (\cos^{2} x - \sin^{2}x) }{1 + (\cos^{2} x - \sin^{2}x) }$

We maintain the LHS and simplify the RHS to see whether they are equal.

Expand the parenthesis

$\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 + \cos^{2} x - \sin^{2}x}$

$\implies\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 - \sin^{2}x + \cos^{2} x }$

Recall that:

$1 - \sin^{2}x = \cos^{2}x$

$1 - \cos^{2}x = \sin^{2}x$

We apply these identities to get:

$\implies\tan^{2} (x) = \frac{\sin^{2}x + \sin^{2}x }{\cos^{2} x + \cos^{2} x }$

$\implies\tan^{2} (x) = \frac{2\sin^{2}x }{ 2\cos^{2} x }$

$\implies\tan^{2} (x) = \frac{\sin^{2}x }{ \cos^{2} x }$

$\implies \tan^{2} (x) =( \frac{\sin x }{ \cos x })^{2}$

Also

$\frac{\sin x }{ \cos x } = \tan(x)$

$\implies \tan^{2} (x) =( \tan x )^{2}$

$\implies \tan^{2} (x) =\tan^{2} (x)$

Therefore the correct answer is True

5 0

4 years ago

Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertiseme

Drupady [299]

He would pay more in this point because 20% is more than 10 US dollars

6 0

3 years ago

How do you write and solve a system of equations from a word problem?

Sergeu [11.5K]

See this question for an example.
brainly.com/question/8829608

Step 1. Read and understand the description of the problem.
Step 2. Identify what the problem is asking you do do.
Step 3. Identify the given information and the given relationships.
Step 4. Use your knowledge of the relationships associated with the parts of the problem, along with the result of Step 3, to write equations relating the given information and the information you are asked to find.
Step 5. Solve those equations using the rules of algebra.
Step 6. Check to make sure your solution satisfies all of the problem conditions and requests.

_____
With respect to the example problem above, you are expected to know how the total bill is calculated when you make a purchase. A lot of people act like they don't understand how this works, even though they have been shopping many times. This is what is meant by Step 4--use your knowledge.

7 0

3 years ago

Write the repeating rational number 0.828282… as a fraction.

vivado [14]

Answer:

Step-by-step explanation:0.828282 = 0.828282/1 = 8.28282/10 = 82.8282/100 = 828.282/1000 = 8282.82/10000 = 82828.2/100000 = 828282/1000000

And finally we have:

0.828282 as a fraction equals 828282/1000000

8 0

3 years ago

A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel

rusak2 [61]

Number of ways the second grade students can sit on the first row is 5! = 5P5
Number of ways 15 first grade students can sit in the remaining 20 seats is 20P15

Therefore, required number of ways is 5P5 * 20P15. (option B)

6 0

3 years ago

Read 2 more answers