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3 years ago

Match the vocabulary word to its correct definition.

Mathematics

1 answer:

aleksklad [387]3 years ago

7 0

Answer:

1. zeros of polynomials -- x-values for which the value of the polynomial is zero

2. quartic polynomial -- fourth degree (polynomial)

3. irreducible -- cannot be factored

4. leading coefficient -- coefficient of the term with the highest power

5. end behavior -- the direction of a graph for very large positive and negative values of x

6. leading term -- the term in a polynomial with the highest power

7. cubic polynomial -- third degree (polynomial)

Step-by-step explanation:

These are definitions. They need no explanation.

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1 year ago

Solve this equation: 3x-1/5-2/9x=124/5

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2 years ago

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2 years ago

Find the missing angle.

Sphinxa [80]

Answer:

$m\angle XYV=135^{\circ}$

Step-by-step explanation:

Notice that $m\angle XYV=m\angle XYW+m\angle VYW$ .

The diagram already marks $m\angle VYW=80^{\circ}$ , so we just need to find $m\angle XYW$ .

$\angle TYU$ and $\angle XYW$ are vertical angles, which means they are equal in measure.

Therefore,

$m\angle TYU=m\angle XYW=6x+7$

Since there are $180^{\circ}$ on each side of a line, we have the following equation:

$m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8$ .

Plugging in $x=8$ , we have:

$m\angle XYW=6(8)+7=55^{\circ}$ .

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2 years ago

An engineer stands 200 feet from a tower and sights the top of the tower at a 45° angle of elevation. Find the height of the tow

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Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet

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2 years ago