Because angleCBD+angleBDC+angleC=180
so angleCBD+angleBDC=180-angleC=180-82=98
because BC=DC
so angleCBD=angleBDC
so 2 angleCDB=98
so angleCDB=49
so y=29
by Joy Xu,紫馨雪汐
Answer:
f³(x) = 64/x⁶
Step-by-step explanation:
f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³
f³(x) = 64/x⁶
_____
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>
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Answer:
W=30m L=90m
Step-by-step explanation:
A =2,700 m²
L=W+60
we know that area of a rectangle is A=L*W so we sustitute what we know
A=L*W
2,700 = (W+60)*W distribute
2,700 = W² +60W subtract 2,700 from both sides
W²+60W-2,700 =0
solve the quadratic equation with quadratic formula or on the calculator on the graph and will get W= -90 and W=30. Reject the -90 value because we can not have negative measurements. Our solution is W=30
L=A/W=2,700/30=90
Answer:
m<RQP = 62°
Step-by-step explanation:
m<RQP = m<PQB + m<RQB
m<RQP = 38° + 24°
m<RQP = 62°