Answer:
x= −2/7
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Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−2)=−2(x+6)
(5)(x)+(5)(−2)=(−2)(x)+(−2)(6)(Distribute)
5x+−10=−2x+−12
5x−10=−2x−12
Step 2: Add 2x to both sides.
5x−10+2x=−2x−12+2x
7x−10=−12
Step 3: Add 10 to both sides.
7x−10+10=−12+10
7x=−2
Step 4: Divide both sides by 7.
7x/7=−2/7
x=−2/7
If a point
(
x
,
y
)
is written as
(
r
,
θ
)
in polar coordinates, then
x
=
r
o
s
θ
and
y
=
r
sin
θ
.
As such in polar form equation
x
=
−
3
can be written as
r
cos
θ
=
−
3
or
r
=
−
3
cos
θ
A
s×300hours=500 shirts produced
Answer:
The distance between B and lighthouse is 3.8688 km
Step-by-step explanation:
Given:
The angle made from ship to lighthouse is 36.5 degrees
and that of point B is 73 degrees.
To Find:
Distance Between Point B and Lighthouse
Solution:
<em>Consider a triangle LAB(Refer the attachment )</em>
And Point C is on the line AB as A i.e. ship is sailing to B
So C is at 5 km from A.
Now In triangle LAC,
Using Trigonometry Functions as ,
tan(36.5)=LC/AC
LC=tan(36.5)*AC
=0.7399*5
=3.6998 km
Now In triangle LBC,
As,
Sin(73)=LC/LB
LB=LC/(Sin(73))
=3.6998/0.9563
=3.8688 km
LB=3.8688 km
The difference between the exponents = - 4 ( x - 6 - (x - 2) = -4)
A shift of 4 units to the right (Choice )