Answer:
a=3r6-b,-3r6-b
Sorry I couldn't figure out how to find B
Step-by-step explanation:
Answer:
y = 
x - 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 4) , then
- 4 = 7 + c ⇒ c = - 4 - 7 = - 11
y = x - 11 ← equation of line
9) Separate the polygon into 2 shapes (a rectangle and triangle). Then plug in the formula for those 2 shapes separately and add the 2 areas.
First, the triangle's area = bh x 1/2 or bh/2.
b=5 and h=5, so 5x5/2 or 25/2 = 12.5.
Next, solve the area for the rectangle(lw=A). l=5 and 2=8, so 5x8=40.
Add 40 +12.5 = 52.5cm^2 (always include units).
10) It is similar to the last problem. You will separate the polygon into 2 shapes (a circle and a square), but this time you will subtract the area of the sector formed from the circle (draw a dotted line where the circle would be formed in the square).
So, the area of the square is 2x2=4ft^2.
area of a circle is (pi)r2 or (pi)2^2= 4pi or about 12.5ft^2.
4+12.5 = 16.5 ft^2.
Now, the area of the sector must be subtracted from the combination of the 2 areas found above.
The area of a sector is 2(pi)r x (C/360).
The angle is given as 90°, the radius is 2 ft. Now plug these into the equation.
2(pi)(2)x(90/360) = 3.14ft^2.
16.5-3.14= 13.4 ft^2.
Note that while the figure is made up of rectangle and parallelogram, then the area of this figure
1. The area of rectangle is
The vertices of rectangle are points A(-2,-2), B(0,-6), C(8,-2) and F(6,2). Then
Therefore,
2. The area of parallelogram can be calculated using formula
The base of parallelogram is segment CD with length
and the height has length 2 un. Then
3. Now
