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3 years ago

Determine the y intercept for the following equation y=2x-8

Mathematics

1 answer:

Orlov [11]3 years ago

3 0

Answer: The y-intercept is -8

Step-by-step explanation:

It's simple to understand once you memorize the slope intercept formula!

y=mx+b

m stands for the slope which is rise/run

The b is the y-intercept, which is the answer you are looking for! the y-intercept is where the line crosses the y-axis!

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Verify cot x sec^4x=cotx +2tanx +tan^3x

Tanzania [10]

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

$\cot(x) \: { \sec}^{4} x = \cot(x) + 2 \tan(x) + { \tan}^{3} x$

Verifying from left, we have

$\cot(x) \: { \sec}^{4} x = \cot(x) \: ( 1 + { \tan}^{2} x )^{2}$

Expand the perfect square in the right:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: ( 1 + { 2\tan}^{2} x + { \tan}^{4} x)$

We expand to get:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + \cot(x){ 2\tan}^{2} x +\cot(x) { \tan}^{4} x$

We simplify to get:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + 2 \frac{ \cos(x) }{\sin(x) ) } \times \frac{{ \sin}^{2} x}{{ \cos}^{2} x} +\frac{ \cos(x) }{\sin(x) ) } \times \frac{{ \sin}^{4} x}{{ \cos}^{4} x}$

Cancel common factors:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + 2 \frac{{ \sin}x}{{ \cos}x} +\frac{{ \sin}^{3} x}{{ \cos}^{3} x}$

This finally gives:

$\cot(x) \: { \sec}^{4} x = \cot(x) + 2 \tan(x) + { \tan}^{3} x$

3 0

3 years ago

At a summer camp there are 40 boys out of 70 campers what is the ratio written as a fraction in simplest form

drek231 [11]

Answer:

4/7

Step-by-step explanation:

40/70 = 4/7

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

4 0

2 years ago

What are all the pairs of twin primes between 25 and 55?

Oksana_A [137]

So twin primes are prime numbers that have a difference of 2. The ones between 25 and 55 are (29,31) and(41,43). Hope that helps

4 0

2 years ago

Name this line in 3 ways

faltersainse [42]

Straight

Never ending (You can tell this as there are arrows on the ends)

On a diagonal with a negative slope

7 0

3 years ago

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}

guajiro [1.7K]

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers