Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 9(x + 4) ← is in point- slope form
with slope m = - 9
Given a line with slope m then the slope of a line perpendicular to it is
= - = - =
The point (a, b) = (4, - 3), hence
y + 3 = (x - 4) ← equation of perpendicular line
Units of square inches are never equal to units of cubic inches, so we presume the statement of the problem applies to the numerical values in in² and in³.
The volume of a cuboid of length L, width W, and height H is
... V = LWH
The area is
... A = 2(LW + H(L+W))
You want these to be equal for L=9, W=4, and H=x.
Equating the expressions, we have
... 9·4·x = 2(9·4 +x(9+4))
... 36x = 2(36 +13x) . . . . . simplify a bit
... 36x = 72 + 26x . . . . . . simplify more
... 10x = 72 . . . . . . . . . . . . subtract 26x
... x = 7.2
The dimension represented by x is 7.2 inches.
Hi There!
On a standard ruler you would see Inches (IN) and Centimeters (CM) you would also see half inches marks.
B=2h-7
Area of a triangle: A=1/2 of bh
replace b with 2h-7: A=(1/2)(2h-7)h=102 => (2h-7)h=204
2h^2-7h-204=0
factor or use quadratic function to solve
h=12
b=2*-7=17
I want to believe that it's (0, infinite).