Answer:
It is moved 8 units left and 5 units down
y =
- 5
So vertical translation 5 units down and horizontal translation 8 units left
<span>Triangle PQR is a right triangle. First we have to find the length of each side of the triangle. This can be done using the points provided, along with the Pythagorean theorem, which is a^2+b^2=c^2.
PR^2 = (7- -2)^2+(3-5)^2 = 85 => PR = sqrt(85)
QR^2 = (7- -1)^2+(3-1)^2 = 68 => QR = sqrt(68)
QP^2 = (1-5)^2+(-1 - -2)^2 =17 => QP = sqrt(17)
Now that we have the sides of the triangle, we can put them into the Pythagorean theorem again to see that it works out:
(Sqrt(17))^2 + (sqrt(68))^2 = (sqrt(85))^2
17 + 68 = 85
85 = 85
Since the Pythagorean theorem works for right triangles, the triangle is indeed a right triangle.</span>
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:

Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting
in the above formula, we get



Using calculator, we get

The amount after two years is $1,725.39. Therefore, the correct option is (c).
The correct answer to this question is this one: So, the area is 108,000 square units
Distance of point A to point B = 800 (base)
Distance of point A to point C = 270 (height)
Distance of point B to point C = <span>336.006 (hypotenuse)
</span>
So, in finding the area of a triangle:
Area = 1/2 * b * h
Area = 1/2 * 800 * 270
Area = <span>108,000
</span>
So, the area is 108,000 square units