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4 years ago

The shape of a quartic with a negative leading coefficient most closely resembles what letter

Mathematics

1 answer:

Sonbull [250]4 years ago

4 0

Answer:

Step-by-step explanation:

A quartic equation/function is a fourth degree polynomial. The general form is:

$ax^4+bx^3+cx^2+dx+e$

We can put any values for the variables a, b, c, d, and e.

The general shape of a fourth degree polynomial is in the shape of the English letter "W".

The leading coefficient is the value of "a".

If a is negative, the curve gets upside down, so a "W" going upside down would resemble an "M".

A graph of a quartic with negative leading coefficient is shown attached. The equation is:

$-x^{4}+2x^{3}+x^{2}-2x-2$

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4 years ago

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3 years ago

Find the measure of each of the angles. Don’t forget to label your answer

user100 [1]

Answer:

$a=125^o$

$b=55^o$

$c=55^o$

$d=55^o$

$e=125^o$

$f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25$

$x=50$

step 2

Find the measure of angle a

we know that

$a=(x+75)^o$ ----> by vertical angles

substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

$a=125^o$

substitute

$125^o+b=180^o$

$b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

$c=b$ ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

$d=b$ ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

$e=a$ ----> by alternate exterior angles

we have

$a=125^o$

therefore

$e=125^o$

step 7

Find the measure of angle f

we know that

$f=d$ ----> by vertical angles

we have

$d=55^o$

therefore

$f=55^o$

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3 years ago

In order to answer the question correctly, please use the following image below:

Maru [420]

Answer:

see below

Step-by-step explanation:

The angle where chords cross is the average of the intercepted arcs. Here, that is ...

(37° +46°)/2 = (83°)/2 = 41.5°

Angle SUT is 41.5°.

_____

<em>Comment on the error</em>

The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.

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3 years ago

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2 years ago