Answer: x = 3 √21
Step-by-step explanation:
you gotta use our good, old, trusty friend pythagorean theorem.
a^2 + b^2 = c^2
x^2 + 6^2 = 15^2
x^2 = 15^2 - 6^2
x^2 = 189
x = √189
x = √27 · 7
x = 3 √3 · 7
x = 3 √21
Assume that f(5)=8. So, (5, 8) is a point in the graph of f.
For g(x) to give us 8, we need x to be 12, because in that case we would have:
g(12)=f(12-7)=f(5), which is 8. Thus, (12, 8) is a point on the graph of g.
Comparing (5, 8) in f, and (12, 8) in g, we can see that the graph of g is the graph of f shifted 7 units to the right.
Answer: <span>C) The graph of g(x) is the graph of f(x) translated 7 units right.</span>
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
Answer: D) 300 degrees (counterclockwise)
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We want to have segment PQ rotate around the center so that it lines up with segment RF. Put another way: we want point P to rotate around the center to have it line up with point R, and we want Q to rotate so that it moves to point F.
Going clockwise, this is a rotation of 60 degrees as the diagram below shows (each blue arc is 30 degrees, so in total it's 30+30 = 60). In that diagram, I'm only focusing on moving point P. Point Q moves in a similar fashion. Since 60 is not an answer, this means 360-60 = 300 must be the answer.
Answer:
photomath
Step-by-step explanation:
i dont know the answer but photomath is so much easier to get help.
