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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Pare a.) $70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.
Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.
25 less than 0.6 times a number
Answer:
95
Step-by-step explanation:
Take the missing number as x.
Then the required value of x will be,
→ x ÷ 19 = 5
→ x = 5 × 19
→ [ x = 95 ]
Hence, the number is 95.
