Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
p(1/2) = 5
Step-by-step explanation:
Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x
Set up synthetic div.:
1/2 ) 2 -1 10 0
1 0 5
------------------------
2 0 10 5
The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.
Answer:
The height of the flag pole will be = 18.96 ft.
Step-by-step explanation:
See the attached diagram.
AB is the flag pole and the length of the shadow is AC.
Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.
So, applying Pythagoras theorem ,
AB² + AC² = BC²
⇒ (3x)² + x² = 20²
⇒ 10x² = 400
⇒ x² = 40
⇒ x = 6.32 ft. (Approx.)
So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)
3 + 5 = 8
8 - 5 = 3
3 - 3 = 0
Eliminate y by writing the bottom equation into the top one:
-1/2x - 4 - 3x = 3
-3.5x = 7
x = -2
y= -1/2 * -2 - 4 = -3