Ok, first you need to combine the like terms, or you can use a different method. It should get easy from there
Answer:
11. Slope of the line is 7/10.
12. Slope of the line is
Step-by-step explanation:
11. Given points are:
(-6, 1) and (4, 8)
Slope of a line is given by the formula;
m =
m =
m =
m =
Slope of the line is 7/10.
12. Given points are:
(2, -3) and (5, -4)
Slope of the equation is;
m =
m =
m =
Hence,
Slope of the line is .
Let the width of the rectangle be W in.
Therefore, length = 2W in
Area of the rectangle, Ar = L*W = 2W*W = 2W^2
Also, perimeter of the rectangle, Pr = 2(L+W) = 2(2W+W) = 2(3W) = 6W
Then, perimeter of square, Ps = 52-6W
And, area of the square, As = [(52-6W)/4]^2 = [13-1.5W]^2 = (13-1.5W)(13-1.5W) = 169-19.5W-19.5W+2.25W^2 = 2.25W^2-39W+169
Therefore,
Total area, At = Ar+As = 2W^2+2.25W^2-39W+169 = 4.25W^2 -39W+169
For maximum area, the first derivative of the total area expression should be zero. Therefore;
dAt/dW = 8.5W - 39 = 0 => 8.5W = 39 => W = 39/8.5 = 4.588 in
Therefore, for maximum area, width (W) should be 4.588 in
If it's gradual, it goes up 3,000 every 5 years. So, the answer is A) 86,000
Both a rhombus and a rectangle have diagonals that are perpendicular bisectors, but the ones formed in a square are all congruent, so that is probably the most descriptive one.