To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.
Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24
Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3
Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
Step-by-step explanation:
6x+x=34+1
7x=35
x=35/7
x=5
Hence this equation has only one solution
Answer:
y = -1/5x +32/5
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b
we know m = -1/5
y = -1/5x+b
We know a x and y on the line
7 = -1/5(-3) +b
7 = 3/5 +b
Subtract 3/5 from each side
35/5 -3/5 = b
32/5 =b
So the equation is
y = -1/5x +32/5
Step-by-step explanation:
d=20
r=10
π=3
Answer:
a= 168
p= 62
Step-by-step explanation:
25 24 and 7 are pythagorean triples. meaning the short side length is 7.
24*7 = 168
48+14=62
