Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Income of the first account after x years:

Income of the second account after x years:

Equating the above tw values we get the equation:

Solving the above equation for x:

Answer 8 years.
Absolute value means the total distance from zero. So you get rid of any negative signs and then look at which number has the lowest value (which is the smallest number without any negative signs).
Number one or 2? so i can help you
Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of semicircle
step 1
Find the area of rectangle
The area of rectangle is equal to

where

substitute

step 2
Find the area of semicircle
The area of semicircle is equal to

we have
---> the radius is half the diameter

substitute


step 3
Find the area of the figure
