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2 years ago

7

At the grand opening, every 8th customer received a free coffee mug, and every 12th customer received a free baseball cap. How m

any of the first 100 customers received both a mug and a cap?

1 answer:

irinina [24]2 years ago

3 0

8 people received a Baseball Cap

12 people received a Coffee Mug

Hope this helped!

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A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is t

Gre4nikov [31]

Answer:

See below.

Step-by-step explanation:

Recall the equation for a circle:

$(x-h)^2+(y-k)^2=r^2$ , where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

$(x^2+18x)+(y^2+14y)=-105$

For the first section, complete the square for $x^2+18x$ :

$x^2+18x+81-81$

$(x+9)^2-81$

Do the same for the second:

$y^2+14y$

$y^2+14y+49-49$

$(y+7)^2-49$

All together:

$((x+9)^2-81)+((y+7)^2-49)=-105$

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The center is (-9,-7).

The radius is $\sqrt{25}=5$

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