The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
Write the equation of the circle with center (3, 2) and radius r = 7. Use the ^ key for the exponents. Write your answer as the example:
(x - 4)^2+(y+8)^2=25
<span>Compound Interest is calculated on the initial payment and also on the interest of previous periods.
So after 1 year w/ 5% interest, $10 -> $10*1.05 = $10.5
after 2 year, the total becomes $10.5*1.05 = $11.025
formula to calculate is 10*(1.05)^50 = $114.67
ans is A</span>
Answer:
line a and b are parallel
line c is not perpendicular because it is not 3
step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5
Answer:
A. 2/3
Opposite Sides of a Parallelogram
The two pairs of sides in a parallelogram are parallel to each other.
Parallel lines have the same slope.
The slope of the opposite sides of a parallelogram are congruent (equal in measure).
Given:
Slope of PQ = 2/3
Slope of QR = -1/2
For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.
This implies that: Slope of SR = Slope of PQ = 2/3.
Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.
