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2 years ago

Quadrilateral ABCD has vertices at A(2,-2), B(5,-2), C(8,-8), D(2,-5). What is the length of AC? (round to the nearest 10th)

Mathematics

1 answer:

morpeh [17]2 years ago

5 0

Answer:

The answer would be (6, -6)

I hope that helped! :)

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What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

jolli1 [7]

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

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3 years ago

Jessica had two hundred six dollars to spend on eight books. AFter buying them she ha fourteen dollars. How much did each book c

frutty [35]

Each book costs $24.

206-14=192
192/8=24

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3 years ago

Uncle Bill has planted fruits in the farm and 7/12 is watermelon.2/3 of the watermelon section is ruined from the storm.The rest

inessss [21]

The fraction of his farm which isn’t ruined is 11/18

<h3>Fractions and proportion</h3>

Fractions are written as a ratio of two integers. The given question will be solved using the method of proportion.

If Uncle Bill has planted fruits in the farm and 7/12 is watermelon, and 2/3 of the watermelon section is ruined from the storm, the fraction ruined from the storm is;

Fraction ruined from the storm = 2/3* (7/12)

Simplify to its lowest term to have:

Fraction ruined from the storm = 7/18

Determine the fraction of the firm that is not ruined

Fraction not ruined = 1 - 7/18

Fraction not ruined = 11/18

Hence the fraction of his farm which isn’t ruined is 11/18 if uncle Bill has planted fruits in the farm and 7/12 is watermelon.

Learn more on fraction here: brainly.com/question/17220365
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1 year ago

If hari buys 20biscuits for Rs 200 and sells it for Rs 100 find the loss

dimulka [17.4K]

Answer:

hdvbn

Step-by-step explanation:

nfshvjjnmmnjjmbm

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3 years ago

Read 2 more answers

If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ? (2 points)

seropon [69]

I accept that θ in second quadrant, therefore sinθ > 0, cosθ < 0 and tanθ < 0.

$\cos\theta=-\dfrac{4}{7}\\\\We\ know:\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\to\sin x=\sqrt{1-\cos^2x}\\\\subtitute:\\\\\sin x=\sqrt{1-\left(-\dfrac{4}{7}\right)^2}=\sqrt{1-\dfrac{16}{49}}=\sqrt{\dfrac{33}{49}}=\dfrac{\sqrt{33}}{7}$

$We\ know:\tan x=\dfrac{\sin x}{\cos x}\\\\subtitute:\\\\\tan x=\dfrac{\sqrt{33}}{7}:\left(-\dfrac{4}{7}\right)=-\dfrac{\sqrt{33}}{7}\cdot\dfrac{7}{4}=-\dfrac{\sqrt{33}}{4}$

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3 years ago