Answer:
D. (27x^6y^9) / x^9.
Step-by-step explanation:
(3x^2y^3 / z^3 )^3
= 3^3 x^(2*3)y(3*3) / z^(3^3)
= 27 x^6y^9 / x^9.
The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a length of an arc of a circle of radius 7 is approximately 10.99 cm.
The radius r = 7 cm
The arc length l = 10.99 cm
We know,
l = rθ
θ is the central angle.
θ = l/r = 10.99/7 = 1.57 radians
To convert 1.57 radians into the degree multiply it by 180/π
θ = 89.95 degree
Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.
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Answer:
4x + 5y = - 23
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 )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y = 
x + 5 ← in slope-intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
= - 
, hence
= - 1 / = - 
y = - x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 = 
+ c ⇒ c = - 
y = - x - ← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form
Answer: The nth term of a geometric progression is Tn = ar^(n-1)
A. 12
B. 3.6
C. -3/4
D. 0.6
Step-by-step explanation:
The nth term of a geometric progression is Tn = ar^(n-1)
Where Tn= nth term
a = first term
r = common ratio
n = number
A. a6 = (2*6) = 12
B. a6 = (0.6*6) = 3.6
C. a6 = (-1/8*6) = -3/4
D. a6 = (0.1*6) = 0.6
Answer:
7 syllables
Step-by-step explanation:
