Answer:
a b m n
Step-by-step explanation:
x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.
<h3>What is a
cubic equation?</h3>
A cubic equation is a polynomial of degree 3.
Given the volume (V) is given by:
V(x) = x³- 10x²+ 11x + 70; where x is the length of the hot tub
a) x cannot be -5 because we cannot have a negative length, also:
V(-5) = (-5)³- 10(-5)²+ 11(-5) + 70 = -360; Also the volume cannot be negative.
b) x + 2 is a factor, hence:
x + 2 = 0
x = -2
v(-2) = (-2)³- 10(-2)²+ 11(-2) + 70 = 0
x + 2 is a factor of V(x) = x³- 10x²+ 11x + 70; and x = -5 is not a possible rational zero.
Find out more on cubic equation at: brainly.com/question/20896994
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
B. Y=4x-14
Think about where the point is on the grid and then use the slope to get to the y-intercept. So for this question your going to have to move backwards to get to the y axis. Move down 12 units and left 3 and that’ll give you the y-intercept which will match in the equation.
It has infinite solution or many solutions.
The steps are on paper.