Answer:
The ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) is in the ratio 2:3
Step-by-step explanation:
Let (x, y) be the coordinates of point of intersection.
Hence x=(a*8+1*3)(a+1) = (8a+3)/(a+1)
and
y = {a*9+1*(-1)}/(a+1)=(9a-1)/(a+1)
Since this point lies on the line x-y-2=0
Hence (8a+3)/(a+1)-(9a-1)/(a+1)-2=0
i.e. 8a+3–9a+1–2(a+1)=0
Or 8a+3–9a+1–2a-2=0
i.e.-3a+2=0
Hence a=2/3
hence the ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) in the ratio 2/3:1
i.e. 2:3
Answer:
divide both sides of the equation by 2
Step-by-step explanation:
when you divide the equation by 2, you get p/2+7=6, then you solve for p
To find the area shaded region we can see that the circle is equal to the side of the square
Hence
Diameter of circle=16cm
Radius=8cm
To find the area of the shaded region we have find the area of the square and subtract the area of the circle from it
Area of square=(side)2
=16x16
256cm2
Area of circle= πr2
=22/7x8x8
=201.14cm2
Area of shaded region=area of square-area of circle
=256-201.14
=54.9cm2
So it’s option D
HOPE IT WAS HELPFUL :)
Each year the rent is multiplied by (1+0.055), so in 7 years, Natalie's rent will be
.. $900*1.055^7 = $1309.21