Answer:
Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6
Comparing this to the original equation, f(x) = x^2, we have the following transformations:
The graph is widened.
The graph is shifted left 3 units.
Factoring x2-14x+11
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +11
Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -14 .
-11 + -1 = -12 -1 + -11 = -12 1 + 11 = 12 11 + 1 = 12
Observation : No two such factors can be found
Answer:
Approximately 313 cakes of similar size as those 50 cut from the smaller cake, can be cut from the bigger cake.
Step-by-step explanation:
The complete question is with the missing image of the cakes is attached to this solution.
From the image provided, the dimensions of the smaller cake = 2 ft × 1.6 ft
The dimensions of the larger cake = 5 ft × 4 ft
50 cakes are obtained from the smaller cake, how many cakes can be obtained from the bigger cake?
Area of the smaller cake = 2 × 1.6 = 3.2 ft²
Area of the bigger cake = 5 × 4 = 20 ft²
3.2 ft² cake provides 50 cakes.
20 ft² cake will provide (20×50/3.2) cakes = 312.5 cakes
Rounded to the nearest piece of cake = 313 cakes
Hope this Helps!!!
Answer:
The answer is here
Step-by-step explanation:
https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp--praxis-math--lessons--geometry/a/gtp--praxis-math--article--congruence-and-similarity--lesson
Answer:
88.6
Step-by-step explanation:
A=4(pi)r^2/3
D=9.2 : r=4.6
A=4(3.14)(4.6^2)/3=88.5898667
