All categories

3 years ago

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

You might be interested in

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]

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
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180

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
And solve; your answer will be
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:

$S_1 = 3\ in$