Answer:
Step-by-step explanation:
Given:
The best way to write a polynomial with three terms as a product of binomials is to FACTOR!
The middle number is 3 and the last number is -4.
Factoring means we want something like
We need two numbers that...
ADD together to get 3 and
MULTIPLY together to get -4
Test the numbers -1 and 4:
These are the right numbers! Now, I can write them as factored binomials!
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:
Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:
Complete the square as following:
Now you must rewrite it as following:
Then:
h=7
Answer:
Step-by-step explanation:
There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).
Line 1 goes through (-12,-3) and (0,5).
slope = (5-(-3))/(0-(-12)) = 2/3
y-intercept = 5
y₁ = (2/3)x + 5
Line 2 goes through (-12,-2) and (-6,1).
slope = (1-(-2))/(-6-(-12)) = 1/2
y₂ = (1/2)x + 4
(2/3)x + 5 = (1/2)x + 4
x = -6
y = (2/3)x + 5 = 1
Solution: (-6,1)
Answer:
Triangle - 21 units
Trapezoid - 65 units
Step-by-step explanation:
