Answer:
y=9
Step-by-step explanation:
4y-7=29
(add 7 to both sides)
4y=36
(divide both sides by 4)
y=9
9514 1404 393
Answer:
d. 76(cos(3π/16) +i·sin(3π/16))
Step-by-step explanation:
To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:
38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)
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In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))
The perimeter of each figure is 58
(x-3)(x-5)=35
Multiply the brackets together
x*x-5*x-3*x-3*5
x^2-8x+15=35
Move +35 to the other side. Sign changes from +35 to -35
x^2-8x+15-35=35-35
x^2-8x-20=0
(x-10)(x+2)=0
x-10=0 x+2=0
Move -10 to the other side. Sign changes from -10 to +10
x-10+10=0+10 x+2-2=0-2
x=10 x=-2
Answer: x=10
