9514 1404 393
Answer:
Step-by-step explanation:
Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...
9%·x +4%(7000-x) = 430
5%·x +280 = 430 . . . . . . . . . simplify
0.05x = 150 . . . . . . . . . . . subtract 280
x = 3000 . . . . . . . . . . divide by 0.05
$3000 was invested at 9%; $4000 was invested at 4%.
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
I think you mean circumference...Area is
. We have the area so we need to use it to solve for the radius which we will then use in the circumference formula.
. Divide both sides by pi to get
. Of course the simplification of the left side gives us
and r = 4. Now fill that in to the circumference formula, which is
, to get C
which is a circumference of
Question 14) 3³
question 15) 100/9
Answer:
R- (-10, -3)
S- (-10, -6)
Q- (-5, -3)
P- (-5, -6)
Step-by-step explanation:
Well, Q and P would be the exact same coordinates since that land directly on the reflection line.
Basically, on this graph/question you can count how far away the vertices is from the reflection line.
For example, Point R is 5 units away from the reflection line, therefore I need to count over 5 times to the left from the reflection line for point R. (Idk if that makes sense or not, ask questions if you are confused).
