from the top left to the bottom
from quadrant 2 to quadrant 4 thru (0,0)
Answer:
6 cm by 14 cm
Step-by-step explanation:
The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...
(40 cm) +(40 cm) -(68 cm) = 12 cm
Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...
(40 cm)/2 -6 cm = 14 cm
The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.
m<1 + m<2 = 180°
m<3 + m<4 = 180°
Because they are both equal to 180°, you can set them equal to each other.
m<1 + m<2 = m<3 + m<4
Angles 1 and 4 are congruent (equal), so we can subtract them from each side to get:
m<2 = m<3
Given:
The equation is:
To find:
The number that should be added to sides of the equation to complete the square.
Solution:
If an expression is in the form of , then we have to add to make it perfect square.
We have,
...(i)
To make it perfect square we need to add square of half of coefficient of x on both sides.
Coefficient of x is -10, so square of half of coefficient of x is:
On adding 25 on both sides of (i), we get
Therefore, we need to add 25 to both sides of the equation to complete the square.
With that table of values, you can come up with a slope intersect form of a line
7 = -8m + b
1 = -5m + b
-5 = -2m + b
7-1 = -3m
6 = -3m
m = -2
1 = -5 * -2 + b
b = 1 - 10
b = -9
so it is y = -2x - 9
Now we can find where those intersect
-2x - 9 =2 (x+4)^2 - 5
-2x - 9 = 2(x^2 + 8x + 16) - 5
-2x - 9 = 2x^2 +16x + 32 -5
2x^2 + 18x +36 = 0
x^2 + 9x + 18 = 0
D = 81 - 72 = 9 = 3^2
x1 = (-9 - 3) / 2 = -6; y1 = 3
x2 = (-9 + 3) / 2 = -3; y2 = -3
so the solutions are (-6; 3) and (-3; -3)