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Lilit [14]
3 years ago
11

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

Mathematics
2 answers:
dsp733 years ago
7 0

Answer:

f(x) = (x+3)2+3

Step-by-step explanation:

8_murik_8 [283]3 years ago
4 0
Complete the square
move the 3 aside and work in parenthasees
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it (6/2=3, 3^2=9)
add 9 and -9 inside
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthases
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6

2nd choice
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Triangle abc is an isosceles right triangle. What is the measure of one base angle? 30ş 45ş 60ş 90ş.
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Answer:

  45°

Step-by-step explanation:

The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...

  x = 90-x . . . . . the base angle is congruent to the other base angle

  2x = 90 . . . . . add x

  x = 90/2 = 45 . . . . divide by 2

The measure of a base angle of an isosceles right triangle is 45°.

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5 0
2 years ago
from a window 20 feet above the ground, the angle of elevation to the top of another building is 35 degrees. The distance betwee
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Answer:

  56.4 ft

Step-by-step explanation:

The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.

  Tan = Opposite/Adjacent

  tan(35°) = (height above window)/(distance between buildings)

  height above window = (52 ft)tan(35°) ≈ 36.4 ft

Added to the window height of 20 ft, the height of the other building is ...

  20 ft + 36.4 ft = 56.4 ft

5 0
3 years ago
A haircut cost $15. I left a 20% tip. How much was the haircut including the tip? PLEASE ANSWER WITH WORK
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Answer:

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Step-by-step explanation:

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The haircut is $18 with tip included.

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6 0
4 years ago
Acellus
mr_godi [17]

Answer:

120°

Step-by-step explanation:

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