Answer: 22 ft²
Step-by-step explanation:
To find the area of a rectangle, we multiply the length and width. It doesn't matter which is which as we get the same answer in the end.
Given information:
Length = 11 ft
Width = 2 ft
Area = length x width
Area = 11 ft x 2 ft = 22 ft²
You'll notice the unit is feet squared or ft², because feet x feet gives us feet².
2x^4 + x^3 − 8x^2 − 4x
= x ∙ (2x^3 + x^2 − 8x − 4)
= x ∙ (x^2 ∙ (2x + 1) − 4 ∙ (2x + 1))
= x ∙ (x^2 − 4) ∙ (2x + 1)
= x ∙ (x − 2) ∙ (x + 2) ∙ (2x + 1)
Thus the roots are:
x ∙ (x − 2) ∙ (x + 2) ∙ (2x + 1) = 0
⇒ [x = 0] or [x − 2 = 0] or [x + 2 = 0] or [2x + 1 = 0]
⇒ [x = 0] or [x = 2] or [x = −2] or [x = − 1/2]
The cut-off point is 0.5: higher than this would be closer to 1, and lower would be closer to 0
and 3/8 is lower than 0.5: we know this because a bigger number, 4/8 is equal to 0.5
so it's closer to 0!
Answer:
see the attachment
Step-by-step explanation:
1. Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.
2. Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.
3. Angle GMK is supplementary to angle JMG.
4. Vertical angles are congruent. See question 2.
5. See question 1.