Step-by-step explanation:
<u>a. the area of a two-dimensional composite figure</u>
In this situation, we need to draw any necessary segments to view the figure as basic shapes, then:
- Step 1: add basic shape areas belonging to the composite shape
- Step 2: subtract basic shape areas NOT belonging to the composite shape
<u>b. the surface area of a three-dimensional composite figure</u>
As we know (3D) composite objects are made of two or more objects put together. To find the surface area of a 3D composite object, we need:
- Step 1: find the outside surface area of each object
- Step 2: add the surface areas together
Hope it will find you well
Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
Answer:
Step-by-step explanation:
The first thing that I noticed was that all of the terms had a common factor of 
. You can therefore factor that out first:
Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:
Hope this helps!
