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Mandarinka [93]
3 years ago
8

Find an angle between 0 and 2π that is coterminal with the given angle. 19π 6

Mathematics
1 answer:
sasho [114]3 years ago
8 0
   \frac{19 \pi }{6} - 2π
= \frac{19 \pi }{6} - \frac{12 \pi }{6}
= \frac{7 \pi }{6}
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Find the equation of the line containing the points (0,3) and (1,8)
Tema [17]

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)

m = \frac{8-3}{1-0} = 5

Note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = 5x + 3 ← equation in slope- intercept form

5 0
4 years ago
Proofread 12 page in 6 minutes how many minutes will it take to proofread 96 pages
serg [7]
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3 years ago
A triangle is to be dilated with a scale factor of 3.6. If a side of the original triangle is 8, what is the measure of a side o
BlackZzzverrR [31]
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3 0
4 years ago
(3x+1)(x-2)+ax+b=3x^2+8x-5<br> Work out the values of a and b
Musya8 [376]

Answer:

a = 13, b = - 3

Step-by-step explanation:

Expand the left side and compare like terms on both sides

(3x + 1)(x - 2) ← expand using FOIL

= 3x² - 5x - 2

left side = 3x² - 5x - 2 + ax + b ← combine like terms

             = 3x² + x(a - 5) + b - 2

right side = 3x² + 8x - 5

For the 2 sides to be equal then

a - 5 = 8 ( add 5 to both sides )

a = 13

and

b - 2 = - 5 ( add 2 to both sides )

b = - 3

7 0
3 years ago
What is the period of the function y=tan (n/4(x-n/3)? 3 units 4 units 6 units 8 units
viva [34]

Answer:

8

Step-by-step explanation:

The function u given me is

\tan( \frac{\pi}{4} (x -  \frac{\pi}{3} ) )

The period of a function is represented by

\frac{2\pi}{ |b| }

where b is the coefficient of the x variable.

The coefficient is pi/4 so

\frac{2\pi}{ \frac{\pi}{4} }  = 8

8 is the answer.

8 0
3 years ago
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