First find the slope of the given line like this:
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
The equation of the line is then the following:
Answer:
9 feet
Step-by-step explanation:
The given is 30-60-90 special triangle with the side lengths as follows
x-x√(3- and 2x
The side length that sees 90 degrees (hypotenuse) is 18 which means x = 9
then the side length that sees 30 degrees is 9 as well
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed =
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
= + - 2bc Cos A
= + - 2(45 x 35) Cos
= 2025 + 1225 - 3150 (0)
= 3250
x =
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
Answer:
Mark me brainliest if you consider.
Step-by-step explanation:
Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45