If they are all in a line then we can find the equation of their line using: y = mx + b
First find m using points (2,5) and (3,3)
m = (5-3)/(2-3) = 2/-1 = -2
Now using (3,3) and m= -2 to solve for b:
3 = -2(3) + b
3 = -6 + b
9 = b
So our equation is y = -2x + 9
That is the solution for question b)
Now to find the mystery point, solve:
1 = -2x + 9
-8 = -2x
4 = x
So our mystery point is (4,1)
So for part a) the answer is k = 4
Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using , we find that a line perpendicular to the line shown should have a slope of
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: brainly.com/question/10113134
Answer:
-17 degrees
Step-by-step explanation:
Given that:
Initial temperature = 2 degrees
Final temperature = -15 degrees
To Determine:
The change in temperature.
Solution:
First of all, let us have a look at the method for calculating the change in any quantity.
Let the initial quantity =
Let the final quantity =
Change in quantity = Final quantity - Initial quantity =
Here, we are given the quantity as temperature.
where degrees and
degrees
Therefore, the change in temperature = -15 - 2 = <em>degrees</em>
Answer:
10
Step-by-step explanation:
Vertical angles are congruent, so: