Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
Answer:
C. 468mm²
Step-by-step explanation:
The formula for the surface area of rectangular prism is:

Let's break down our variables.
L = 12mm
W = 6mm
H = 7mm + 2mm = 9mm
Now we substitute our values in the formula:
Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
12 times ten equals one hundred twenty