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3 years ago

What is the equation of the line?

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

Y=1/2x+2 since the slope is 1/2 and the y intercept is 2

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kakasveta [241]

Answer:get what

Step-by-step explanation:

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3 years ago

A circle with circumference 12 and has an arc with a 48, degrees central angle.What is the length of the arc?

Phantasy [73]

Answer:

0.1754596 ft

Step-by-step explanation:

5 0

3 years ago

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What is the value of the expression below when y=2 AND z=8? 8y-z

Kisachek [45]

Answer:

Step-by-step explanation:

4 0

3 years ago

Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.

nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

$\sin (x+y) = 3\sin (x-y)$

Using the identities

$\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\$

we get

$\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y$

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

$3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}$

7 0

3 years ago

Examine the system of equations,

salantis [7]

Answer:

y= 11

Step-by-step explanation:

First label the 2 equations.

y= 5x +6 -----(1)

y= x +10 -----(2)

susbt. (1) into (2):

5x +6= x+10

5x -x= 10 -6 (bring x terms to 1 side, constant to the other)

4x= 4 (simplify)

x= 4 ÷4

x= 1

susbt. x=1 into (2):

y= 1 +10

y= 11 (simplify)

Thus, the value of y is 11.

6 0

2 years ago