Answer:
1. Statement: <2 and <5 are supplementary. Reason: Given
2. Reason: Vertical
3. Reason: Consecutive interior angles
4. Statement L is parallel to m. Reason: transversal makes equal angles
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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
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Answer:
the answer is D :))) hope you pass this
Answer:
75th term in the sequence is 227.
Step-by-step explanation:
75 term of A.P is
a_75= a+ (n-1)d
Given series is 5,8,11,14.
hence a= 5 d= 8-5 = 3 , a_75.
a_75 = 5+(75-1)3
= 5+ (74)3
= 5 +(222)
= 227
Answer: x<-22
Step-by-step explanation:
3x+4<-62
3x<-66
x<-22