Answer:
Step-by-step explanation:
Ethan jogged 1 1/3 miles. Chloe jogged 1 1/4 times as far as Ethan. How many miles did Chloe jog?
1 answer:
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Answer:
These points may or may not be on the same line.
Step-by-step explanation:
The first set of points is: (-3, -2) and (1, 0)
The second set of points is (-2, -1) and (4,2)
Slope of first two points is:
Slope of second set of points is:
The points are on the lines with the same slopes. But this does not guarantee that these points are on the same line as two parallel lines will also have the same slopes. In order to confirm the conclusion Beatrice need to find the y-intercept or the equation of the lines. If the y-intercept or the equation of lines is same in both cases this would mean that all 4 points are on the same line, else they would be on 2 different lines.
Answer:
C
Step-by-step explanation:
When we speak about the least common multiple, we are talking about the lowest number in which these given values are a factor of
Firstly, I would like to consider the number parts only I.e 3, 12 and 15. Using the long division l.c.m method, the lowest common multiple of these is 60.
In the options, there are two options carrying 60. How do we know which is correct? We simply look at the alphabets and try the long division again.
The highest powers of x and y is the 3rd power and hence gives their lowest common multiple.
Please check the attachment for the long division.
<u>Given</u>:
The height of the bird at time t is given by the function
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;
Switch sides, we get;
Let us solve the equation using the quadratic formula.
Thus, we get;
Simplifying, we get;
The values of t are given by
and
and
and
Since, the value of t cannot be negative, then
Thus, the time taken by the bird to eat the worm is seconds.
Hence, Option B is the correct answer.