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earnstyle [38]
3 years ago
8

Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?

Mathematics
2 answers:
ad-work [718]3 years ago
3 0

Answer:

  π/2

Step-by-step explanation:

There are 2π radians in a circle, so 1/4 of that is (2π)/4 = π/2 radians.

The central angle of a quarter-circle is π/2 radians.

Alla [95]3 years ago
3 0

Answer:

pi/2 radians

Step-by-step explanation:

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Step-by-step explanation:

4 0
4 years ago
What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)
Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept   is at point ( 0.-3)

So, at x = 0, y = -3

or, C  = -3

Also, the point on the equation line is (x,y)  = (-9,-9)

Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:

y = m x + C   :  m  = slope of line  ......... (1)

So, substituting the values of C and (x,y) , we get:

-9  = m (-9)  + (-3)  

or, -9 + 3  = - 9 m

or, m =  -6/-9  = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

y = m x + C   \implies  y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9

Hence, the line equation is given as: 3 y = 2 x - 9.

5 0
4 years ago
6x – 3y = 8
Nat2105 [25]

Answer:

Step-by-step explanation:

<em>The linear equation where:</em>

\large \boldsymbol {}  \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}

Solution :

\displaystyle \sf \#13. \\\\   6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3}  \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept  =-2\frac{1}{3} \\\\-------------      

 \sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5}  \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept  =-0,4 \\\\---------------  

    \dispalystye \sf \#15. \\\\ -6y+4x=8  \  |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3}  \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3}  \\\\ y-intersept  = -\dfrac{4}{3 }\\\\ -----------------

\sf \#16   .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3}  \\\\slope =1 \\\\y-intersept =3

4 0
2 years ago
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