Answer:
c=1 and c=3
Step-by-step explanation:
If x>0 and y>0, then
\sqrt{\dfrac{50x^6y^3}{9x^8}}=\sqrt{\dfrac{25\cdot 2y^2\cdot y}{9x^2}}=\dfrac{5y\sqrt{2y}}{3x}.
9x
8
50x
6
y
3
=
9x
2
25⋅2y
2
⋅y
=
3x
5y
2y
.
If
\dfrac{5y\sqrt{2y}}{3x}
3x
5y
2y
is equal to
\dfrac{5y^c\sqrt{2y}}{dx},
dx
5y
c
2y
,
then
\begin{gathered}y=y^c\Rightarrow c=1,\\ \\3x=dx\Rightarrow d=3.\end{gathered}
y=y
c
⇒c=1,
3x=dx⇒d=3.
Answer:
43.3cm
Step-by-step explanation:
Circumference = PI * diameter.
Circumference = PI * 13.8
Circumference = 43.3cm
area of circle : πr²
area of sector : x/360 x πr²
firstly, you have to find. the area of a circle
π(6)² = 36π
then, find the area of the of the sector (not in the shape)
90°/360° x π(6)² = 12π
[90° is given)]
next, you just minus the total and the area of the sector.
36(3.14) - 12(3.14) = 75.36 units
With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.
with this problem, find the slope by separating the same variable in each equations, like this:
2x + 7y = 6
-2x -2x
7y = -2x + 6
(the second equation is already separated) so now we have
7y = -2x + 6 and 7y = 2x + 6
since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!
Answer:
Step-by-step explanation:
Given
Rectangle coordinates
Required
The area of the rectangle
The area is calculated as:
The length of the rectangle will be represented as:
And the width is:
Calculate distance AB using:
Where:
--- 
Calculate distance BC using:
So, the area is:
