Amy places a dot on a
1 answer:
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Answer:
A)
B)
C)
Step-by-step explanation:
So we have the equation:
Let's write this in function notation. Thus:
A)
To flip a function over the x-axis, multiply the function by -1. Thus:
Simplify:
B) To flip a function over the y-axis, change the variable x to -x. Thus:
Simplify:
C) A reflection over the line y=x is synonymous with finding the inverse of the function.
To find the inverse, switch x and f(x) and solve for f(x):
Switch:
Subtract 4 from both sides:
Divide both sides by 5:
And we're done :)
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = =
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c =
To calculate the unknown angle B, we can use law of sine.
Law of sine = =
=
So,
=
=
Sin90 = 1
sinB =
B = (
)
B = 57.5°
Answer:
C
Step-by-step explanation:
A geometric series will only converge if - 1 < r < 1
sum to infinity =
The nth term formula for a geometric series is
= a
where a is the first term and r the common ratio
The only summation with - 1 < r < 1 is C where r = - 0.2