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3 years ago

Distance between (-6, -2) and (0,-1)

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

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What is the distance between the points (2, 1) and (14, 6) on a coordinate

Naddika [18.5K]

The distance between the points (2,1) and (14,6) on a coordinate is C. 13 units

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3 years ago

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In February, Alec had 1,562 visitors to his website. In March, he had 1,310 visitors to his website. What is the percentage decr

tigry1 [53]

Answer:

16.1% is the percentage decrease.

Step-by-step explanation:

We are given the following in the question:

Visitors in February = 1,562

Visitors in march = 1,310

We have to find the percentage decrease of the number of visitors to Alec's website from February to March.

Percentage decrease =

$=\dfrac{\text{Change}}{\text{Original}}\times 100\%\\\\=\dfrac{1562-1310}{1562}\times 100\%\\\\=\dfrac{252}{1562}\times 100\% = 16.1\%$

Thus, 16.1% is the percentage decrease in the number of visitors to Alec's website from February to March.

6 0

3 years ago

Simplify: 2x²(4x³-3x²+6x)

eimsori [14]

Answer
8x^3 - 6x^4 + 12x^3

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3 years ago

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a pipeline is laid at a rate of 1/8 mile per day.How many miles of line would be completed in 29 1/2 days

Setler [38]

Answer:

In 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

Step-by-step explanation:

The length of pipe laid in 1 day = 1/8 mile

So, the length of pipe laid in half day = half of (1/8 mile)

= $\frac{1}{2} \times \frac{1}{8} = \frac{1}{16} \textrm{mile}$

Now, 29 1/2 days on simplification means 29 and half day.

So, length of pipe in 29 days = $29 \times \frac{1}{8} = \frac{29}{8}$ mile

Now adding the length laid in half day = $\frac{29}{8} + \frac{1}{16} = \frac{29 (2) + 1}{16} = \frac{59}{16} \textrm{mile}$

So, in 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

8 0

4 years ago

Hey everyone !

zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

Lets explain how to find the measure of an angle from the length of the

sides of the triangle

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

to angle A is BC , the side opposite to angle B is AC and the side

opposite to angle C is AB, So to find measure of angle A use the rule

$cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}$

Lets solve the problem

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

AC = 6 cm

- We need to find the measure of the largest angle

- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ $cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}$

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

∴ $cos(C)=\frac{(6)^{2}+(10)^{2}-(14)^{2}}{2(6)(10)}$

∴ $cos(C)=\frac{36+100-196}{120}$

∴ $cos(C)=\frac{-60}{120}=-0.5$

∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle

∴ m∠C = $cos^{-1}(-0.5)=120$

* The measure of the largest angle is 120°

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3 years ago

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