Answer:
S=16×2
S=32
................................
The point that Sam's house is located is at (2.5, -2)
<h3 /><h3>Midpoint of coordinate points</h3>
The formula for calculating the midpoint of coordinate is expressed as:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate between their locations at (-4, 4) and (-9, 8)
Determine the midpoint
x = (-4+9)/2
x =5/2 = 2.5
Similarly
y = 4-8/2
y = -4/2
y = -2
Hence the point that Sam's house is located is at (2.5, -2)
Learn more on midpoint here: brainly.com/question/5566419
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Answer:
y = 6/5x - 24/5
Step-by-step explanation:
The two points we are given are (4, 0) and (9, 6). First, find the slope.
m = 6 - 0/9 - 4 = 6/5
Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.
y - 0 = 6/5(x - 4)
y = 6/5x - 24/5
We will be using the formulas:
speed=distance/time
time=distance/speed
distance=speed×time
First let's find out Diane's rate of swimming. We can measure this by finding the slope (y/x) of a given coordinate on the graph. One point is (10,15), so you do 15/10=1.5m/s
Now for Rick's rate of swimming, just take a pair of values from the table. 12.5/10=1.25m/s
By the way m/s is metres per second for this
So at a constant speed of 1.5m/s, Diane swam 150m in 150/1.5= 100 seconds, or 1 minute 40 seconds
And at a constant speed of 1.25m/s, Rick swam 150m in 150/1.25= 120 seconds, or 2 minutes.
So the difference between their two times is 20 seconds
An arithmetic sequence starts with one number and you add the common difference to the previous term to get the current term
So...
f(x)=mx+b
m=common difference
b=starting point
f(11)=125=11m+b
-
f(1)=5=1m+b
--------
120=10m
Divide both sides by 10
12=m
Your common difference is 12.
