First, 10 1/2 is the same as 21/2
If there are 12 inches in a foot then
21/2*12=126 inches
By converting into parametric equations,
<span><span>x(θ)=r(θ)cosθ=cos2θ<span>cosθ
</span></span><span>y(θ)=r(θ)sinθ=cos2θsinθ</span></span>
By Product Rule,
<span>x'(θ)=−sin2θcosθ−cos2θsinθ</span>
<span>x'<span>(π/2)</span>=−<span>sin(π)</span><span>cos<span>(π/2)</span></span>−<span>cos(π)</span><span>sin<span>(π/2)</span></span>=1</span>
<span>y'(θ)=−sin2θsinθ+cos2θcosθ</span>
<span>y'<span>(π/2)</span>=−<span>sin(π)</span><span>sin<span>(π/2)</span></span>+<span>cos(π)</span><span>cos<span>(π/2)</span></span>=0</span>
So, the slope m of the curve can be found by
<span>m=<span>dy/dx</span><span>∣<span>θ=<span>π2
</span></span></span>= <span><span>y'<span>(π/2)/</span></span><span>x'<span>(π/2)
</span></span></span></span>=0/1
=0
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
Answer:
Step-by-step explanation:
A) 5x = 3(x - 2.5)
-----------------------
B)
Distribute
5x = 3x - 7.5
Subtract 3x from both sides
2x = -7.5
Divde both sides by 2
x = -3.75
-----------------------
C)
5 * (-3.75) = 3(-3.75 - 2.5)
-18.75 = -18.75
D)
Tanya paid –$3.75 for each of 5 items
Tony paid –$6.25 for each of 3 items
There seems to be an error in the question since the cost of items is negative
Tony bought fewer items and paid less for each.
Answer:23 And 24
Step-by-step explanation:
((37 - (−√(−24))) - (−√(37))) - 24 =
19.0827625 + 4.89897949 i
19.0827625
+ 4.89897949
23.98174199
23.98174199 is between 23 and 24
