Answer:
Step-by-step explanation:
Scuba diver is going downward with cetain speed for 2.6 minutes
To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are <span>A(1,1), B(0,2), and C(3,-2).
Midpoint of AB = (1/2, 3/2) - You can get the midpoint by getting the average of x-coordinates and y-coordinates.
Slope of AB = -1
Slope of perpendicular bisector = 1
</span>Equation of AB with slope 1 and the coordinates (1/2, 3/2) is
<span>y - (3/2) = (1)(x - 1/2)
</span><span>y = x+1
Do the same for AC
</span>Midpoint of AC = (2, -1/2)
Slope of AC = -3/2
Slope of perpendicular bisector = 2/3
Equation of AC with slope 2/3 and the coordinates (2, -1/2) is
y - (-1/2) = (2/3)(x - 2)
y = -11/6 + 2x/3
So <span>the perpendicular bisectors of AB and BC meet
</span>y = x+1
y = -11/6 + 2x/3
To solve for x,
(-11/6 + 2x/3) = (x+1)
x= -17/2
Now get y by substituting
y = (-17/2) + 1
y = -15/2
The circumcenter is (-17/2, -15/2)
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Answer:
All have a rate of change of 4.
Step-by-step explanation:
To simplify some things, we're going to be dividing by 10 because that's the separation between each answer. (40-50, 50-60, 60-70, yadda yadda yadda)
From 40 to 50 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 0 and 40 is 40.
From 50 to 60 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 40 and 80 is 40.
From 60 to 70 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 80 and 120 is 40.
From 70 to 80 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 120 and 160 is 40
From 80 to 90 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 0 and 160 is 200
Answer:
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over 100 Percentage means 'out of 100
'.
Cancel the common factor of 35 and 100
.
Convert the fraction to a decimal by dividing the numerator by the denominator.
