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3 years ago

Find the length of D.

Mathematics

1 answer:

defon3 years ago

6 0

Answer:

root 50

Step-by-step explanation:

Pythagorean theorem d is the hypotenuse

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Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$

Thus, the required equation for points P is $4x+2y=17.$

8 0

3 years ago

Calculate the slope of (59,60) and (53,51) using the formula Y=mx+b

Tasya [4]

To find the slope for the formula it must be y2 - y1 divided by x2 - x1 so 51 - 60 divided by 53 - 59.
-9 divided by -6
=1.5
So your slope is 1.5 which you plug into the m value for the formula

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3 years ago

What is the result of 2 divided by StartFraction 4 Over 10 EndFraction? A number line going from 0 to 2. One-fifth Four-fifths 5

mixer [17]

You just divide it normally

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3 years ago

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A number cube has side lengths of 114 inches. What is the volume, in cubic inches, of the number cube?

gregori [183]

Answer:

V≈1.48×106in³

a Edge

114

Step-by-step explanation:

thank me later

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3 years ago

Choose the methods of solving quadratic equations

atroni [7]

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

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3 years ago

Find the length of D. ​

Find the length of D.