Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
x < -1
The solution is the interval ----> (-∞,-1)
All real numbers less than -1
On a number line the solution is the shaded area at the left of x=-1 (open circle)
using a graphing tool
see the attached figure
Answer:
L(18, 20)
Step-by-step explanation:
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of K are (10, 11). What are the coordinates of L?
Solution:
If O(x, y) is the midpoint between two points A(
) and B(
). The equation to determine the location of O is given by:

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (
) be the coordinate of L. Therefore:


Therefore L = (18, 20)
Answer:
angle c is congruent to angle D.
Step-by-step explanation: