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3 years ago

Solve number 8 (geometry)

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

$\angle XAB =\angle BAY\\\\2x=100\\\\x=50$

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The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elev

defon

Unfortunately there was no choice in which we can choose our answer to this item. However, looking into the situation given in this item, it may be deduced that the distance traveled by the elevator after 15 seconds is equal to 70 ft. The rate of change in elevation of the elevator is therefore 70ft/15s which is also equal to 4.67 ft/s.

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3 years ago

Whats the difference between a sequence and a series?

snow_tiger [21]

Answer:

A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!

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2 years ago

Converting from vertex to standard form

stich3 [128]

Answer:

Step-by-step explanation:

y = (x+1)² - 3

= (x²+2x+1)-3

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2 years ago

Which of the following is NOT a linear factor of the polynomial function?

Natalija [7]

Answer:

Among the four choices, $(x + 5)$ is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let $a$ denote some constant. A linear factor of the form $(x - a)$ is a factor of a polynomial $f(x)$ if and only if $f(a) = 0$ (that is: replacing all $x$ in the polynomial $f(x) \!$ with the constant $a\!$ would give this polynomial a value of $0$ .)

For example, in the second linear factor $(x - 2)$ , the value of the constant is $a = 2$ . Verify that the value of $f(2)$ is indeed $0$ . (In other words, replacing all $x$ in the polynomial $f(x) \!$ with the constant $2$ should give this polynomial a value of $0\!$ .)

$\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}$ .

Hence, $(x - 2)$ is indeed a linear factor of polynomial $f(x)$ .

Similarly, it could be verified that $(x - 5)$ and $(x + 2)$ are also linear factors of this polynomial function.

Rewrite the first linear factor $(x + 5)$ in the form $(x - a)$ for some constant $a$ : $(x + 5) = (x - (-5))$ , where $a = -5$ .

Calculate the value of $f(5)$ .

$\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}$ .

$f(5) \ne 0$ implies that $(x - (-5))$ (which is equivalent to $(x + 5)$ ) isn't a linear factor of this polynomial function.

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2 years ago

a train has 3 engines, 52 boxcars, and 1 caboose. at every stop, it picks up 8 more boxcars. how many total cars ( engines, cars

Damm [24]

Picking up 8 boxcars after 5 stops makes a total of 40 new boxcars . . . add the original 3 engines, 52 boxcars, and 1 caboose to get a total of . . . 3 + 52 + 1 + 8 + 8 + 8 + 8 + 8 = 96 total cars

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3 years ago