Answer: x^2 + y^2 -10y = 0
Step-by-step explanation:
Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.
r= 10sin(θ)
Remember that:
x= r × cos(θ)
y= r × sin(θ)
r^2= x^2 + y^2
Multiply both sides of the equation by r. This will give:
r × r = 10r × sin(θ)
r^2 = 10r × sin(θ)
x^2 + y^2= 10r × sin(θ)
Because y= r × sin(θ), we can make a substitution. This will be:
x^2 + y^2= 10y
x^2 + y^2 -10y = 0
The above equation is the Rectangular coordinate equivalent to the given equation.
The wording is confusing but I am going to guess it is 5(n+1)=2(n+7). So 5xn=5n and 5x1=5. 5n+5=2(n+7). Then 2xn=2n and 2x7=14. The question now stands 5n+5=2n+14. Then 5n+2n=7n and 14-5=9. So, you have 7n=9. Then you divide both sides by 7 and get n=1.2857...
Answer:
±625
Step-by-step explanation:
±625
<span>The volume of a rectangular prism is
V = l · w · h
V= 252 cm3
h= 3 cm
l=5+W
W=x then l=5+x
V=(5+x)*x*3=252
3x</span><span>^2+15x=252 cm3
</span><span>
the equation that models the volume of the tray in terms of its width, x, in centimeters.</span>
3x^2 +15x=252 cm3<span>
</span>
for width=7.5 cm
3x^2
+15x=3*(7.5) ^2+15*7.5= 281.25 cm3
<span>281.25>252 </span><span> </span>
<span>it is not possible that the width is 7.5 cms</span>
