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3 years ago

Find the distance between (-4,-3) and (-2,0). Round your answer to the nearest tenth.

Mathematics

2 answers:

Kazeer [188]3 years ago

8 0

Answer:

just count the spaces between (-4, -3) (-2,0)

Step-by-step explanation:

use rise and run or sum else

dlinn [17]3 years ago

4 0

Answer:

$\sqrt{13}$

Step-by-step explanation:

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\mathrm{The\:distance\:between\:}\left(-4,\:-3\right)\mathrm{\:and\:}\left(-2,\:0\right)\mathrm{\:is\:}$

$=\sqrt{\left(-2-\left(-4\right)\right)^2+\left(0-\left(-3\right)\right)^2}$

$Simplify$

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RoseWind [281]

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3 years ago

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3 years ago

Pls help with this I don’t understand

Bas_tet [7]

It’s phrased very weird, but I believe I have it figured out.

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3 years ago

One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

inna [77]

Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

Solution:

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$

Thus number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

3 0

3 years ago

Match each whole number with a rational, exponential expression. 1. 512 2. 8 3. 343 4. 216 5. 729 6.

Crazy boy [7]

Answer:

1. 2^9 = 512

2. 2^3 = 8

3. 7^3 = 343

4. 6^3 = 216

5. 3^6 = 729

Step-by-step explanation:

To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

2^9 = 512

2 x 2 x 2 = 8

2^3 = 8

7 x 7 x 7 = 343

7^3 = 343

6 x 6 x 6 = 216

6^3 = 216

3 x 3 x 3 x 3 x 3 x 3 = 729

3^6 = 729

6 0

3 years ago