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3 years ago

A(2,4) B(4,5) Find the midpoint of the line AB, where A and B have coordinates.

Mathematics

1 answer:

Jlenok [28]3 years ago

4 0

The midpoint of the line AB is (3, 4.5)

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boeing plans to increase its price for jetliners. with a selling price $201.5 million and a cost of $190.1 million, what was the

scoray [572]

so from 190.1 to 201.5 is 201.5 - 190.1 = 11.4.

now, if we take 190.1 as the 100%, what is 11.4 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190.1&100\\ 11.4&x \end{array}\implies \cfrac{190.1}{11.4}=\cfrac{100}{x}\implies 190.1x=1140 \\\\\\ x=\cfrac{1140}{190.1}\implies x\approx 5.99684$

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2 years ago

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Write the first five terms of the sequence defined by the explicit formula

denis-greek [22]

Answer:

The correct answer option is: 19, 13, 3, -11, -29.

Step-by-step explanation:

We are given the following explicit formula for an arithmetic sequence:

$a_n=21-2n^2$

So to find the first five terms of this sequence, we will substitute the values of $n$ (num here in the given formula:

$a_1=21-2(1)^2\\\\a_1=19$

$a_2=21-2(2)^2\\\\a_2=13$

$a_3=21-2(3)^2\\\\a_3=3$

$a_4=21-2(4)^2\\\\a_4=-11$

$a_5=21-2(5)^2\\\\a_5=-29$

Therefore, the first five terms of the sequence defined by the explicit formula $a_n=21-2n^2$ are 19, 13, 3, -11, -29.

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2 years ago

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9x + 2+ 5x = 23 +7 SOLVE pLEASE

yarga [219]

Answer:

Step-by-step explanation:

14x + 2 = 30

14x = 28

x = 2

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2 years ago

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What is the 51st term of the arithmetic sequence 29,9,-11

valina [46]

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

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2 years ago

Find the volume of the following figure. 890 units 3 900 units 910 units 3 882 units3

ludmilkaskok [199]

The answer in 766units^2

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2 years ago