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Law Incorporation [45]
3 years ago
15

How do I rewrite a quadratic into graphing form

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Step-by-step explanation:

Standard form of a quadratic is f(x) = ax² + bx + c.

To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).

Then, plug back into the equation to find the y-coordinate of the vertex.  k = f(h).

Finally, the leading coefficient is the same as the standard form, a.

f(x) = a(x − h)² + k

Another method is to complete the square.

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You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi
irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

tan(52^o)=\frac{AC}{50} ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

AC=tan(52^o){50}

AC=64\ ft

step 2

In the right triangle ABE

Find the length side AB

tan(21^o)=\frac{AB}{50} ---> by TOA (opposite side divided by the adjacent side)

solve for AB

AB=tan(21^o){50}

AB=19.19\ ft

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

64-19.19=44.81\ ft

5 0
3 years ago
How do I find the value of x?
UkoKoshka [18]
The angles ACD and Angle ABE are congruent so there measure is equal.
3x+14=50
3x= 50-14
3x= 36
X= 36/3=12
6 0
3 years ago
Michael found a jake at the bank he said that he went there every 45 days and Michael says he went every 30 days .when will they
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A wooden plank is 424cm long.<br><br> 50% of it is cut off.<br><br> How long is the plank now?
artcher [175]

Answer:

214cm long of wooden plank

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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
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