Step-by-step explanation:
Change the sign of inequality to sign of equation.
First step:
Calculate the coordinates of two points of a line.
Choice any two values of x, put it to the equation and calculate the values of y.
Example:
y > 2x + 1 → y = 2x + 1
for x = 0 → y = 2(0) + 1 = 0 + 1 = 1 → (0, 1)
for x = -1 → y = 2(-1) + 1 = -2 + 1 = -1 → (-1, -1)
Draw a line passing through the given points.
If is < or >, then draw dot line.
If is ≤ or ≥, then draw solid line.
In our example, we have an inequality sign: >. Therefore, draw a dot line.
Second step:
Shading region:
If is < or ≤ - shading to the left.
If is > or ≥ - shading to the right.
In our example, we have an inequality sign: >. Therefore, shading to the right.
Prime factor if 8 is 2
Prime factors of 12 are 3 and 4
Answer:
The answer above is wrong, the line is actually supposed to be one to the left, so it would be going through (7,4) and (2,-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are a lot of conversion factors involved in this question.
First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.
The circumference = 2 * pi * r
The circumference = 6.28 * 37200000 = 233616000 miles
This is accomplished in 88 days.
88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds
88 days = 7603200 second
Rate of travel = miles / second
Rate of travel = 233616000 / 7603200
Rate of travel = 30.726 miles / second
This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.
1 mile = 1.6 km
30.725 miles = x Cross multiply
x = 1.6 * 30.725
x = 49.16 km/ second
I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.
The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.