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3 years ago

There are 45 Vehicles in the in a parking lot 3/5 of the vehicles are minivan how many vehicles in the parking lot at minivans

Mathematics

1 answer:

taurus [48]3 years ago

7 0

27 vehicles

3/5 x 45
5 goes into 45 9 times, 9x3= 27, therefore there are 27 minivans

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Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th

Firdavs [7]

Answer:

-2x-5y+8z+4.5=0

Step-by-step explanation:

Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

$d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0$

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3 years ago

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1.) Find the equation of the circle with center at (-3, 1) and through the point (2, 13).

Sav [38]

Answer:

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Step-by-step explanation:

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3 years ago

Asap!!<br> 85=2x(x^2+3)(2x+5) use quadratic equation

emmainna [20.7K]

Answer:

Step-by-step explanation:

85=2x(x^2+3)(2x+5)

85=2x(2x^3+5x^2+6x+15)

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4x^4+10x^3+12x^2+30x-85=0

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3 years ago

Write the quadratic equation in factored form. x2 + x - 12 = 0

lapo4ka [179]

Answer:

(x + 4)(x - 3)

Step-by-step explanation:

x^2 + x - 12 = 0

In order to factorise an equation, one must take into consideration the factors of the values in given equation.

In the factored form, the above equation becomes

(x + 4)(x- 3)

Factors of x^2 = x times x

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As shown in the factored form above

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3 years ago