Answer:
- Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
- Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
- Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.
Step-by-step explanation:
The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
Taking square root on both sides.
Height cannot be negative. Round to the nearest foot.
Therefore, the height of the ladder on the wall is 39 foot.
355776 is the car traveled ok it must help u
Answer:
40º
Step-by-step explanation:
if u look at the triangle it would show you
Answer:
C(0,6)
Step-by-step explanation:
1) find the length of the base of the triangle
AB = 7-3 = 4
2) find the the height of the triangle
A = (base x height)/2
A x 2 = base x height
height = (A x 2)/base
height = (12 x 2)/4 = 6
3) find the equation of the line that passes threw the points AB
the two points have the same y so the equation of the line is
y = 0
4) use the formula of the distance between a point and a line to find C
|ax+by+c|/√a^2 + b^2 = distance
x = 0
y = 6
C (0,6)
