Part A: 5.25
Average speed is 5.25 mi per hr
Part B: 8 hrs because
42 divided by 5.25 is 8
The secant of a circle is any line that intersects two points on the circumference of the circle.
In the given circle, the lines EF and XY intersects two points on the circumference of the circle and hence are secants of the circle.
From the answer options given, the secant line is line XY.
Answer: 1/2
Step-by-step explanation: To find out what fraction is greater, notice that the fractions that we're comparing in this problem have different denominators.
When fractions have different denominators, they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 2 and 12 will be the least common multiple of 2 and 12 which is 12.
To get a 12 in the denominator of 1/2, we multiply the numerator and the denominator by 6 which gives us 6/12.
Notice that 1/12 already has a 12 in the denominator so now we are comparing like fractions since both of them has a 12 in the denominator.
To compare like fractions, we simply look at the numerators. Since 6 is greater than 1, this means that 6/12 is greater than 1/12.
Therefore, 1/2 is greater than 1/12.
The best way is to check all answers. lets check answer A first.
Take the equation y > -3x +3 and substitute 2 for x and -5 for y.
(-5)> -3(2) + 3
-5 > -6 + 3
-5 > -3
we know this is not true so A is not the answer. because it is an invalid solution.
Lets check B
(-2)>-3(5) + 3
-2 > -15 +3
-2 > -12
we know this is true so it is a valid solution Now we have to check the other equation with the same point.
y> x +2
5> (-2)+2
5> 0
we know this is true so its a valid solution.
This means B the correct answer.
