1) yes. the constant rate of change is 3/1
2) no
3) yes. constant change is 2/1
Answer: Yes
Step-by-step explanation: They are similar because for triangles to be similar their corresponding angles are congruent and the corresponding sides are in proportion. Or they are the same shape but they dont have to be the same size.
Hello!
We can solve for the vertex by completing the square. Begin by factoring out 6 from the equation to simplify the process:
6(x² - 8x) - 54 = 0
To complete the square, we must look at the first two terms (x² - 8x).
Remember that squaring a binomial uses the format a² + 2ab + b². We are already given a² and 2ab², so solve for b:
-8 / 2 = -4. This is the value of b.
We can rewrite this as:
(x - 4)²
However, this produces +16 which much be taken into account. Substitute (x - 4)² into the original equation:
6(x - 4)² - 54 = 0
Multiply 16 by the term in the front and subtract to cancel out this term:
6(x - 4)² - 54 - (6 · 16) = 0
Simplify:
6(x - 4)² - 150 = 0
In this form, the vertex is given as:
a(x - h)² + k, where h = x-coordinate and k = y-coordinate of the vertex.
In this instance, h = 4 and k = -150, so the coordinates of the vertex are:
(4, -150)
A+B+C=$408
C+7
x+x+5
You can use these examples to find the word problem answer.
(1) it is (C) the commutative property of multiplication: a*b = b*a, so 2*(-6/7) = (-6/7)*2
(2) it is (D) the commutative property of addition: a+b=b+a, so 5*4+3=3+5*4
commutate = "swap around"