= 2x + 11
Steps
(8x+9) -(6x-2)
Remove ( a ) = a
8x + 9 - 6x + 2
Simplify
8x+ 9 - 6x + 2: 2x + 11
= 2x + 11 <----- your answer
Please tell me if this was right
Answer:
Q1
cos 59° = x/16
x = 16 cos 59°
x = 8.24
Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)
Q3
BC² = AB² - AC²
BC = √(37² - 12²) = 35
Q4
Let the angle is x
cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²
Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7
Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd
All calculations are rounded
The time of your arrival should be 12:30 PM
8:00 AM departure+2 hours elapsed=10:00 AM
10:00 AM+30 minute lunch=10:30 AM
10:30 AM+1 hour=11:30 AM
11:30 AM+15 minute gas stop=11:45 AM
11:45 AM+45 minutes driving time=12:30 PM time of arrival
B is a perfect cube Bc all add up to five
Answer:
The graph belongs to the conic family called circle. Assign several values for
θ
then compute corresponding
r
then plot the graph
Explanation:
The given
r
=
4
sin
θ
is equivalent to
x
2
+
y
2
=
4
y
and by completing the square
x
2
+
y
2
−
4
y
+
4
−
4
=
0
(
x
−
0
)
2
+
(
y
−
2
)
2
=
4
also using the "center-radius form#
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(
x
−
0
)
2
+
(
y
−
2
)
2
=
2
2
center
(
h
,
k
)
=
(
0
,
2
)
with radius
r
=
2
now, you are ready to graph
kindly see the graph below
graph{x^2+y^2=4y[-10,10,-5,5]}
You may also use
r
=
4
sin
θ
right away by assigning values for
θ
and noting all
(
r
,
θ
)
coordinates.
Step-by-step explanation: