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Answer:
Right 5, down 23
Step-by-step explanation:
Beginning with the parent function f(x) = x²:
Find the translations of the graph g(x) by completing the square to rewrite the equation in vertex form:
g(x) = x² - 10x + 2
-2 = x² - 10x
-2 + 25 = (x² - 10x + 25)
23 = (x - 5)²
Rewrite:
g(x) = (x - 5)² - 23
The translations that we can see from this equation in vertex form are a horizontal translation of 5 units right and 23 units down. Therefore:
Right 5, down 23 is the correct choice.
Answer:
Pizza Party
Step-by-step explanation:
Your getting two pizzas for $17.00 which is less than versus getting two pizzas for $9.00 and that being $18.00
Answer:
Angle 1 congruent to angle 2
Transitive property
Converse corresponding angles theorem
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Billy Bob’s farm is 80 m north of his house. The farms pond is 120 m west of the house. So the distance between the pond and the farm is 144.42 m.
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Solution:
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From question, given that billy bob’s farm is 80 m north of his house and pond is 120 m west of the house.
The given can be represented using the diagram given below:
where,
“a” indicates the distance between the house and the pond
“b” indicates the distance between the house and the farm
“c” indicates the distance between the farm and the pond.
For a right angled triangle, by Pythagoras theorem,
= 20800
Taking square root on both sides, we get
= 144.22 m
Hence the distance between the pond and farm is 144.22 m