Answer:
See answers below.
Step-by-step explanation:
<u>Large Rectangle:</u><u> </u> length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
<u>Smaller Rectangle:</u> length x width = (x)(3) = 3x
<u>Shaded Region: </u>shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
<u>Solve for x, if shaded reion's area is 48 square units: </u>
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
X² + 11x - 26 = 0
x² - 25 = 0
(x + 13)(x - 2) = 0
(x + 5)(x - 5) = 0
x = -13
x = 2
x = -5
x = 5
Answer:
y+2 =3(x+1)
Step-by-step explanation:
Firstly I will find slope of this linear function:
m=(y-yo) / (x-xo)
m=(-2-10)/(-1-3)
m=-12/-4
m=3
Replacing A(-1-2) :
(y-yo)=m(x-xo)