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3 years ago

What is the distance between the points (-4, 2) and (1, -3) on the coordinate plane?

Mathematics

1 answer:

ruslelena [56]3 years ago

4 0

Answer:

A. 7.07 units

Step-by-step explanation:

Use the distance formula for coordinates:

$d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2 }$

Fill in the coordinates accordingly:

$d=\sqrt{(1-(-4))^2+(-3-2)^2}$

which simplifies down to

$d=\sqrt{25+25}$

which is of course

$d=\sqrt{50}$

Plug that into your calculator and you'll get the answer

You might be interested in

Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x

Natali [406]

Answer: hello your question is incomplete attached below is the complete question

answer :

a) $\int\limits^3_0 {(10-x)-(x+4)} \, dx$ ( option D )

b) A = 1/2 (6)(3) ( option B )

c) Area of shaded region = 9

Step-by-step explanation:

a) Using integration with respect to x

Area = $\int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy$ ( note a = 10 )

= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇

= 33/2 - 12 + 30 - 51/2 = 9

hence the best integral from the options attached is option D

$\int\limits^3_0 {(10-x)-(x+4)} \, dx$

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀

= 30 - 9/2 - 9/2 - 12 = 9

b) Using Geometry

Area = 1/2 * base * height

= 1/2 * 6 * 3

= 9

7 0

3 years ago

The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and widt

Rama09 [41]

Answer:

Width=3ft

Length=11ft

4 0

2 years ago

Round to ten thousands 25497 54088

Inessa [10]

I think it's 254974090

4 0

3 years ago

if a tree casts an 8 meter shadow, and the angle from the ground to the tree is 30 degrees, what is the approximate height of th

Virty [35]

Using SohCahToa, we can find the height of the tree. Let the tree height be h. 8m is adjacent to the 30° angle.
$\tan(30) = \frac{h}{8} \\ h = 8 \tan(30) \\ h = 4.62$
The answer is A) 4.6 m

3 0

3 years ago

Based o the sample results what percent of the opulation prefers reading a hard copy i fht e digital copy is 4, the hard copy is

Lisa [10]

Based on the sample results of the population the percentage of population that prefers reading a hard copy i fht e digital copy is 4, the hard copy is 21 and n equas 25 is 84%

Step-by-step explanation:

From the above question we know that .

Total number of population, n = 25

Number of people who prefer to read a digital copy = 4

Number of people who prefer to read a hard copy = 21

As per the question we need to find out the percentage of population who prefer to read hard copy.

So we use the formula

Percent of population preferring hard copy = Hard copy/Total*100

Percent of population that prefers hard copy = 21/25*100

Percent of population that prefers hard copy = 0.84 × 100 = 84%

So , the percent of population who prefers to read a hard copy are about 84%.

3 0

3 years ago