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3 years ago

Find the exact value of tan 5 π. -1 0 1 undefined

Mathematics

1 answer:

Dimas [21]3 years ago

6 0

Answer:

Step-by-step explanation:

tan 5 π

Remove full rotations of 2 π until the angle is between 0 and 2 π . tan π

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant. tan 0 The exact value of tan 0 is 0 . Multiply 1 by 0 .

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Which recursive formula can be used to represent the sequence<br> 2,5, 8, 11, 14, ... ?

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2 years ago

WHAT IS 1/6 + 1/10 IN SIMPLEST FORM?

zhannawk [14.2K]

Multiply denominator (in this case do 6x10)
Multiply the numerator (in this case do 1x1)
So the answer is 1/60

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3 years ago

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2 years ago

Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

mihalych1998 [28]

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let $(x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)$

Equation of a line is given by $y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0$

Put $(x,y)=(5,11)$

$3(5)-2(11)+10=15-22+10=3\neq 0$

Put $(x,y)=(5,10)$

$3(5)-2(10)+10=15-20+10=5\neq 0$

Put $(x,y)=(6,14)$

$3(6)-2(14)+10=18-28+10=0$

Put $(x,y)=(30,50)$

$3(30)-2(50)+10=90-100+10=0$

Put $(x,y)=(40,60)$

$3(40)-2(60)+10=0\\120-120+10=10\neq 0$

So, points $(6,14),\,(30,50)$ satisfy the equation $3x-2y+10=0$

Therefore,

points $(6,14),\,(30,50)$ lie on the line through $(0,5)$ and $(2,8)$

Options C. and D. are correct.

8 0

2 years ago

State the domain of the function.

boyakko [2]

Hi there! The domain of a function refers to the values that can be validly input for x. In laymen's terms, domain is the x-values that exist on a graph of the equation.

If we were to plug in y=-2x+5 into a calculator that shows an infinite graph, we would see that the line of the equation would extend both ways infinitely! This means that all real numbers can be inputs for x, because for every x value that exists there is a corresponding y value.

This means that D. All real numbers, is your answer.

Hope it helps! :)

6 0

3 years ago