Marcus boxers dog 3/5 of a mile every day how far does Marcus walk his dog 6 days

What is slope and y-intercept of the graph

satela [25.4K]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

3 0

3 years ago

What is the result when 10 is increased by 3%

Lilit [14]

Answer:

Step-by-step explanation:

10 + 3% of 10 = 10 + (3/100) *10

= 10 + 3*10/100

= 10 + 3/10

= 10 + 0.3

= 10.3

6 0

4 years ago

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

koban [17]

ANSWER

True

EXPLANATION

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

A test is worth 50 points. Multiple-choice questions are worth 1 point, and short-answer questions are worth 3 points. If the te

dezoksy [38]

Use the following formula to find the answer to this question:

S * Q + M * Q = P

Representations:

S = The amount of points for short-answer questions.

M = The amount of points for multiple-choice questions.

Q = Number of questions for each of the type of questions that add up to the total number of questions on the test (20 questions).

P = Total points on the test.

Since there is a total of 50 points on the 20 question test, you would need to divide up the amount of questions there are for each of the type there are on the test, short-answer, and multiple-choice.

3 * Q + 1 * Q = P

Now find how many of the type of questions there are out of 20 questions on the test that would add up to the total number of points on the test.

3 * Q + 1 * Q = 50

(15 + 5 = 20 questions on the test, 15 and 5 can be used for the number of questions for each type of question on the test).

3 * 15 + 1 * 5 = 50

45 + 5 = 50

50 = 50

So, your total number of multiple choice questions are: 5.
And, your total number of short answer questions are: 15.

I would go with D. for your answer. I may be wrong.

I hope this helps. 

~ Notorious Sovereign

5 0

4 years ago

A number of two digit is equal to 3 times the sum of it's digit. The number formed by reversing it's digit plus 9 equal 3 times

olga nikolaevna [1]

Answer:

The number is 27

Step-by-step explanation:

Attached is the solution step by step

7 0

3 years ago