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3 years ago

Calculate the distance between the points (-8,1) and (0,7)

Mathematics

1 answer:

guapka [62]3 years ago

8 0

Answer:

10 units

Step-by-step explanation:

$\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}$

Using the distance formula above,

distance between the 2 points

$= \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units$

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Answer:

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2 years ago

The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the s

gulaghasi [49]

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The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.

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1 year ago

lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what

Pani-rosa [81]

Given:

Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.

Consider his last month sales is 38,000.

To find:

The total commission.

Solution:

4% commission on the first 10,000 of monthly sales is

$10,000\dfrac{4}{100}=400$

Sales over 10,000 is

$38,000-10,000=28,000$

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Now, the total commission is

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Therefore, the total commission is 3,200.

8 0

2 years ago

Limit as x approaches infinity: 2x/(3x²+5)

Nonamiya [84]

$\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}$

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

$\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}$

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.

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2 years ago

At the local pet store, zebra fish cost $1.80 each and neon tetras cost $2.10 each. If Ernesto bought 16 fish for a total cost o

madreJ [45]

<span>zebra fish a then tetras fish (11 – a)
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</span>

3 0

2 years ago