Answer:
1)-9
2)16
3)-2
Step-by-step explanation:
1)
-3x + 4 = 31
-3x = 31 - 4
-3x = 27
-x = 27/3
-x = 9
x = -9
2)
2x + -10 = 22
2x = 22 + 10
2x = 32
x = 32/2
x = 16
3)
40 = 32 – 4r
-4r = 40 - 32
-4r = 8
-r = 8/4
-r = 2
r = -2
Answer:
A)
62/3 = 20.67 hours
B)
60.00 hours
C)
2074.29 miles
Step-by-step explanation:
If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.
A)
In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;
(24/360) = (x/310)
solving for x;
x = (24/360) * 310 = 62/3 = 20.67 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;
(24/2π radians) = (x/5π radians)
Solving for x;
x = (24/2π radians)*5π radians = 60 hours
C)
If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;
circumference = 2*π*R = π*D
= 7920π miles
Therefore, the speed of the earth is approximately;
(7920π miles)/(24 hours) = 330π miles/hr
The distance covered by a point in 2 hours will thus be;
330π * 2 = 660π miles = 2074.29 miles
Answer:
3, -3, 0
Step-by-step explanation:
The exlcusions of x are where the denominator =0
So we can write the following equations
x²-9=0
and
5x=0
Let's solve the first one
x²-9=0
x²=9
x= ±3
and
5x=0
x=0
Therefore x cannot equal 3, -3, 0
Multilpy 4x to 4x
Multiply -5 to +5
the answer you will get is... 16x-25
