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3 years ago

Find the distance between the pair of points. (-7,4) and (2,-5)

Mathematics

1 answer:

frez [133]3 years ago

5 0

Answer:

$length = \sqrt{ {(x _{2} - x _{1} ) {}^{2} + (y _{2} - y _{1} )}^{2} } \\ = \sqrt{ {(2 - ( - 7))}^{2} + {( - 5 - 4)}^{2} } \\ = \sqrt{ {9}^{2} + {( - 9)}^{2} } \\ = \sqrt{81 + 81} \\ \sqrt{162} \\ = 12.7 \: units$

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ON YOUR OWN

vichka [17]

5 units because your starting from (-2,-2) so the last -2 will stay and the first number(-2) will go up until you hit the (,3) which will be 5 units away

6 0

2 years ago

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Newton Street and Oakland Avenue intersect. If the diagonal distance across the intersection is 17 meters and Newton Street is 1

Margarita [4]

The Oakland Avenue is approximately what the time you think is it now though you have 120 days to

8 0

2 years ago

6n-13=27 pls help!!!!!!!!!!!!!!!

natulia [17]

6n - 13 = 27
6n = 27 + 13
6n = 40
n = 40/6
n = 6 2/3

Answer: n = 6 2/3

6 0

4 years ago

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What is the area of a circle with a radius of 10 feet? (Use 3.14 for ρ.)

bekas [8.4K]

Answer:

The area of a circle = 314 sq. ft

Step-by-step explanation:

Given:

Radius = 10 ft

pi = 3.14

To Find:

The area of a circle = ?

Solution:

A = pi x r^2

A = 3.14 x (10)^2

A = 3.14 x 100

A = 314 sq. ft

Therefore,

The area of a circle = 314 sq. ft

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8 0

3 years ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}$

Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$
 $\frac{19}{6} : \frac{4}{3} = x:2$

Crossing the products:
$x* \frac{4}{3} =2* \frac{19}{6}$
⇒ $x* \frac{4}{3} = \frac{19}{3}$
⇒ $x = \frac{19}{3} : \frac{4}{3}$
$x= \frac{19}{3} * \frac{3}{4}$
⇒ $x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

6 0

3 years ago

Read 2 more answers