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4 years ago

Common Core Algebra 1 - MAZINS ATC

Mathematics

1 answer:

katen-ka-za [31]4 years ago

4 0

200=x-4 original equation
204=x addition property of equality (add 4 on both sides)
x=204 symmetric property

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Bob makes 4% commission on his sales as a real estate agent. If Bob sells a house for $249,000, how much money does he get to ke

Lana71 [14]

He gets to keep $9,960 of the sale

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3 years ago

At a rate of 4 gallons per minute how long will it take to fill a 300 gallon swimming pool

Ivanshal [37]

Answer:

1 hour and 50 minutes will take to fill up a 300 gallon swimming pool explanation just do the quation/math

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3 years ago

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x

Andrei [34K]

Answer:

$\large\boxed{A.\ (x+6)^2+(y+10)^2=20}$

Step-by-step explanation:

The standard form of an equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10$

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

$r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}$

Finally we have

$(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20$

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3 years ago

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Find the square root of 156.25 by division method

vampirchik [111]

Hello,

I don't know the divison method but is it these one?

156.25= 625/4=(25/2)²

√156.25= 12.5

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3 years ago

Which expression represents the area of the base of the cone?

zaharov [31]

Answer:

A. (pi)(3 squared)

Step-by-step explanation:

edge

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3 years ago