Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula: 
AB=
units
BC=
units
AC=
units
Pythagoras theorem:
Therefore, 
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:
Using this formula then, we get
Mid-point of hypotenuse AC is given by
Hence, the circum-center of triangle is (2,1).
4.265 rounded to the nearest hundredth is 4.27
Answer:
Step-by-step explanation:
Given
Points (2,3) and (-3,8)
Required
Determine the gradient
Gradient (m) is calculated by dividing the change in y values by the change in x values.
i.e.
Where:
becomes
<em>Hence, the gradient is -1</em>
Answer:
$300
Step-by-step explanation:
Given that:
Derek bought a new car for $32,000;
The original amount of purchase = $32,000
Down payment = $17,000
Remaining amount = Original amount of purchase - Down payment
= $(32000 -17000)
= $ 15,000
Also;
rate of interest per month is 2%
and the Derek is unable to pay his first monthly payment
thus the interest amount is calculated on principal amount
so for the first month interest is calculated on total principal amount
The month interest payment is then calculated as :
= 15,000 × 2%
= 15,000 × 0.02
= $300
