Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
Answer:
P is the midpoint P=(3,2)
Step-by-step explanation:in ΔAOB
AB
2
=2r
2
(5−1)
2
+(2−2)
2
=4
2r
2
=16
r=2
2
slopeOM×slopeOB=−1
α−3
p−2
×
5−1
2−2
=−1
α−3
p−2
×0=−1
AB∥x−axis
OM∥y−axis
⇒α=3
OA=r=2
2
(3,1)(1,2)=2
2
(3−1)
2
+(p−2)
2
=8
p=0,4
Center(3,0)
r=2
2
(x−3)
2
+y
2
=8
Center(3,4)
r=2
2
(x−3)
2
+(y−4)
2
=8
Answer:
16
Step-by-step explanation:
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Answer:
The expression = -75
Step-by-step explanation:
Evaluate: Enter a number for each variable.
−x2+7(y+2)−1
x=
5
y=
-9
Evaluate for x=5,y=−9
−52+7(−9+2)−1
−52+7(−9+2)−1
=−75
Answer:
288
Step-by-step explanation:
the formula is 2(lw+wh+hl)
length - 8
width - 8
height 5
substitute the values and you get
2(64+40+40)
2(144)
= 288
