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3 years ago

What is y - 8 = -1/2 (x + 4) in standard form (8th grade math)

Mathematics

2 answers:

Rainbow [258]3 years ago

4 0

The answer is y = 1/16 + 4

Scilla [17]3 years ago

3 0

This equation is in point-slope form. To change it to standard form, you must distribute -1/2 to (x+4) to get -1/2x-2. Your equation should now be y-8 = -1/2x-2. You should then add 1/2x to both sides (to cancel out -1/2x on the right side). Now, you should have y+1/2x-8 = -2. Finally, add 8 to both sides (to cancel out -8 on the left side) and flip the x and the y to get a final answer of 1/2x+y = 6.

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2 years ago

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2 years ago

True or false: the equation tan^2x+1=sec^2x

zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

${ \tan}^{2} x + 1 = { \sec}^{2} x$

We take the LHS and simplify to arrive at the RHS.

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

Collect LCM on the right hand side to get;

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

This implies that

${ \tan}^{2} x + 1 = \frac{1}{{ \cos}^{2} x} .$

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

${ \tan}^{2} x + 1 = { \sec}^{2} x$

This identity has been verified .Therefore the correct answer is true.

3 0

2 years ago

Please helppppp meeeeeee!!!!!!!!!!!!!!!!!!!!

astraxan [27]

Answer:option A is the correct answer.

Step-by-step explanation:

The given triangle UVW is a right angle triangle. This is because one of its angles is 90 degrees. The sum of the two other angles is 180. To determine Cos U, we will apply trigonometric ratio.

Cos U = adjacent side/ hypotenuse.

Looking at the triangle with C as the reference angle,

Adjacent side = 12

Hypotenuse( always the longest side of the triangle) = 13

Therefore,

Cos U = 12/13

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3 years ago

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OverLord2011 [107]

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2 years ago

Read 2 more answers