Answer:
(1,-2)
Step-by-step explanation:
WE can see that the X value below is 1 and the Y value is -2
Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer:
- 400 yards by 400 yards
- 160,000 square yards
Step-by-step explanation:
The maximum area polygon for a given perimeter is a <em>regular</em> polygon. The regular 4-sided polygon is the square. Each side length will be ...
(1600 yd)/4 = 400 yd
The area will be (400 yd)² = 160,000 yd².
The maximum area Diana can enclose is a square 400 yards on each side, for a total of 160,000 square yards.
_____
On dimension can be represented by x, and the other by y. The sum of the two dimensions will be half the perimeter, so we have ...
y = 800 -x
The area is then ...
A = xy = x(800 -x)
This equation describes a parabola that opens downward. It has zeros at x=0 and x=800. The vertex (maximum area) is on the line of symmetry halfway between those values, at x = 400. Then y = 800 -400 = 400, and the rectangle is a square.
Combine like terms
-6x² + (-x²) = -6x² - x² = -7x²
-7x² + 15x + 4 is your answer
hope this helps