Answer:
1170450 yd^2
Step-by-step explanation:
The first thing is to calculate the necessary perimeter, which would be like this:
2 * a + b = 3060
if we solve for b, we are left with:
b = 3060-2 * a
Now for the area it would be:
A = a * b = a * (3060-2 * a
)
A = 3060 * a -2 * a ^ 2
To maximize the area, we calculate the derivative with respect to "a":
dA / da = d [3060 * a -2 * a ^ 2
]/gives
dA / day = 3060 - 4 * a
If we equal 0:
0 = 3060 - 4 * a
4 * a = 3060
a = 3060/4
a = 765 and d
Therefore b:
b = 3060 - 2 * a = 3060 - 1530 = 1530
A = a * b
A = 765 * 1530
A = 1170450 and d ^ 2
Answer:
Step-by-step explanation:
The area of a triangle is
and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:
That's the height that we will sub into the area formula:
Answer:
5x - 6y +36 =0 is the required equation.
Step-by-step explanation:
(x1, y1) =(-8, - 1)
Slope (m) =5/6
The equation is:
(y - y1) =m(x-x1)
y +1=5/6(x +8)
6y +6 =5x +40
5x - 6y +36 =0 is the required equation.
Hope this helps!!!!
Answer:
(4, 5)
Step-by-step explanation:
y = 2x - 3
y = 7 - 0.5x
y is already isolated on both equations, set them equal to each other:
2x - 3 = 7 - 0.5x
add 3 to both sides:
2x = 10 - 0.5x
add 0.5x to both sides:
2.5x = 10
divide by 2.5:
x = 4
plug in 4 for x on either equation and solve for y:
y = 2(4) - 3
y = 8 - 3
y = 5
(4, 5)
For every ladybugs = +5 points
For every stinkbugs = -3 points
4 ladybugs and 8 stinkbugs in all
4(5) = 20
8(-3) = -24
20 - 24 = -4
The Players score is -4
hope this helps
