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
(-2+3)/(6+4)= 1/10
y+3=1/10(x + 4)
y + 3 = (1/10)x + 4/10
y + 30/10 = ( 1/10)x + 4/10
y = (1/10)x + 4/10 - 30/10
y = (1/10)x - 26/10
y = (1/10)x - 13/5
10(y = (1/10)x - 13/5)
10y = x - 26
-x + 10y = -26
Answer:a.35 degrees b. 145 degrees
Step-by-step explanation: angle 2 and angle 6 are equal they are corresponding
Angle 2 and angle 8 are supplementary they equal 180. So 180-35=145
Answer:
r = ∛4050
Step-by-step explanation:
The values of x is 1 and 6.
According to the statement
we have two tangents which are represented by x+5 and x+1 then
we have to find the value of x to get the perfect value of tangent
so, due to interior values of tangent they are equal to each other but in opposite sign.
But here we have to find the value of x one by one.
It means
Here we take interior value of tangent and exterior value of tangent equal to each other
So, the equations become are written below
X+5= 6 then x = 1
X+1= 7 then x = 6
So, The values of x is 1 and 6.
Learn more about Tangent here brainly.com/question/4470346
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