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2 years ago

What is the y intercept if the slope=2/3

Mathematics

1 answer:

Yuliya22 [10]2 years ago

7 0

Answer:

y intercept is 0

Step-by-step explanation:

y=2/3x+b

if x=0 y=0 (0,0)

if x=3, y=2 (3,2)

y=2/3x+b

2=2+b

b=0

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Root 3 cosec140° - sec140°=4<br>prove that<br><br>

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

<u>Proof:</u>

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

2 years ago

The flow of electricity is an

Alecsey [184]

Electric current? Why is the thing math lol.

4 0

2 years ago

A school has a square courtyard and wants to create diagonal walkways. The length of each side

Nastasia [14]

Answer:

Approximately 51 Yards

Step-by-step explanation:

You can solve this by cutting the square in half to make a right triangle. Than, you can use the Pythagorean theorem to solve for the hypotenuse.

a^2+b^2=c^2

36^2+36^2=c^2

1296+1296=c^2

2592=c^2

50.9116

Round to the nearest whole number since the question says approximately: 51

3 0

2 years ago

Read 2 more answers

Which measure represents the standard deviation of the sample means and is used in place of the population standard deviation wh

Ksivusya [100]

The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.

<h3>Which measure is used when the population parameters are unknown?</h3>

A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.