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irinina [24]
3 years ago
12

How many units long is a segment whose endpoints are (2,3) and (7,15)?

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

13 units

Step-by-step explanation:

Distance formula: d = \sqrt{(x2-x1)^2 + (y2-y1)^2}

Simply plug in your variables

d = \sqrt{(7-2)^2 + (15-3)^2}

d = \sqrt{5^2 + 12^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

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A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
slega [8]
 <span>Let r(x,y) = (x, y, 9 - x^2 - y^2) 

So, dr/dx x dr/dy = (2x, 2y, 1) 

So, integral(S) F * dS 
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx 
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx 
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= 1763/180 </span>
6 0
3 years ago
What is the solution to this equation x-16=-8
arsen [322]
X-16=-8
Add 16 on both sides 
x=-8+16
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x=8
3 0
3 years ago
How many faces does this shape have?
Veseljchak [2.6K]
DO NOT LISTEN TO THE OTHER PERSON, you can CLEARLY see thats not the right answer. She/He is bluffing.

The true answer:
The shape has 4 faces. Faces means the sides of a 3d figure/the sides are the 2d shapes that form together to form one 3d figure. Btw that figure is a triangular pyramid.
Com.ment me if u have any questions

Have a nice day!
4 0
3 years ago
Zubin has two pieces of string. One piece is 36 inches long and the other is 48 inches long. He wants to cut them into equal pie
skelet666 [1.2K]

Answer:

12 pieces each:

S_1 = 3\ in

S_2= 4\ in

Step-by-step explanation:

Given

S_1 = 36\ in -- first string

S_2 = 48\ in --- second string

Required

Determine the number of equal pieces

To do this, we first calculate the HCF of the length of both pieces (36\ and\ 48)

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * 2 * 2 * 3

Common\ prime\ factors = 2, 2\ and\ 3

The HCF is:

HCF = 2 * 2 * 3

HCF = 12

<em>Hence, he can cut both strings to 12 pieces each</em>

<em></em>

<em>Recall that </em>

S_1 = 36\ in

<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>

S_2 = 48\ in

<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>

7 0
3 years ago
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