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algol [13]
2 years ago
9

Just tell me when i’m high I’m kinda slow lol

Mathematics
1 answer:
Sveta_85 [38]2 years ago
7 0
True blablabojjdjjdjjd
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Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL
scoray [572]

Answer:

8(x^2+y^2)-4x-30y+23=0

Step-by-step explanation:

<u />

<u>Distance formula</u>

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

Let P(x, y) = any point on the locus

Let A = (0, 2)    

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

PA=\dfrac{1}{3}PB

Therefore, using the distance formula:

\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}

Square both sides:

\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]

\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)

Multiply both sides by 9:

\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9

\implies 8x^2+8y^2-4x-30y+23=0

\implies 8(x^2+y^2)-4x-30y+23=0

3 0
2 years ago
Multiply..................
Juliette [100K]

Answer:

6u^3

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
5,901,542 in expanded form
Nutka1998 [239]
5,000,000 + 900,000 + 1,000 + 500 + 40 + 2

hope this helps

word form: five million, nine hundred one thousand, five hundred and forty-two
7 0
3 years ago
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The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contai
Kryger [21]

Answer:

y = (1/2)x - 3

Step-by-step explanation:

The slope of line WX is -2.  Therefore, the slope of a line perpendicular to line WX is the negative reciprocal of -2, or +1/2.

Substitute -2 for y, -1 for x and 1/2 for m in   y = mx + b, for the purpose of finding b:

-2 = (1/2)(-1) + b.  Multiply all terms by 2 to eliminate the fraction:

-4 = -1 + b.  Then b = -3, and the desired equation is y = (1/2)x - 3.

5 0
3 years ago
Read 2 more answers
A central angle is best described as which of the following?
DanielleElmas [232]

Answer:

C. It is an angle that has its vertex at the center of a circle.

Step-by-step explanation:

That's the definition.

A. is wrong. An angle with a measure greater than 180° is an obtuse angle,

B. is wrong. An angle that has its vertex on the circle is an inscribed angle.

D. is wrong. Part of the circumference of a circle is an arc.

4 0
3 years ago
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