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Aneli [31]
3 years ago
9

What is the distance between the two points to the nearest tenth

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

Distance=\sqrt{40}

Step-by-step explanation:

The distance between two points in coordinate system can be find by using the distance formula;

The distance between two points: (x_1,y_1) and (x_2,y_2) can be find by:

               Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For the points:

                       (-2,1) and (4,3)

Distance=\sqrt{(4-(-2))^2+(3-1)^2} \\\\=\sqrt{(4+2)^2+(2)^2} \\\\=\sqrt{6^2+2^2}\\\\ =\sqrt{36+4}\\\\=\sqrt{40}

The distance between the points is:\sqrt{40}

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The volume of water and a rectangle swimming pool can be modeled by the function v(x)=x^3+13x-210. If the depth of the pool is g
S_A_V [24]

Answer:

Required,

L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}

W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}

Step-by-step explanation:

Given volume and depth respectively,

V(x)=x^3+13x-210 and x-3

To find length and width of the rectanglular swiming pool we know,

Volume=length\timesheight\timesdepth.

Let depth=D=x-3, length=L, width=W, then

V=DLW

x^3+13x-210= LW(x-3)

LW=\frac{x^3+13x-210}{x-3}

After divide we will get x^2-3x-22 with remainder -144.

Thus,

x^3+13x-210=(x^2-3x-22)(x-3)-144=(x-3)LW

Now to find root of,

x^2-3x-144=\frac{3\pm\sqrt{9+88}}{2}=\frac{3\pm \sqrt{37}}{2}

Thus,

L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}

W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}

5 0
3 years ago
Carl makes $18.50 for every two hours of work. How much does he make per hour?
KonstantinChe [14]

Answer:

$9.25

Step-by-step explanation:

$18.50 divided by 2 equals $9.25.

6 0
4 years ago
-7(-2x - 3) = 35<br>x=?<br><br>-8(4x + 3) = 40<br>x=?<br><br>2(8 - 5x) = -44<br>x=?
STALIN [3.7K]
Use distributive property: multiply the number outside the bracket by each number inside it

1. 14x+21=35 14x=14 x=1
2. -32x-24=40 -32x=64 x= -2
3. 16-10x=-44 -10x=-60 x=6
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3 years ago
Mike has g green marbles and y yellow marbles. Tina keeps losing her marbles. She has half as many yellow and 3 less green marbl
madreJ [45]

there you go ............

5 0
3 years ago
The radius of the circle on a basketball court is 6 feet. What are the approximate
Leno4ka [110]

Answer:

C= 37.69ft

A= 113.09ft

Step-by-step explanation:

Circumference=

=37.69

Area=

Area = pi * 6 ^2

Area =113.09

3 0
3 years ago
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