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3 years ago

Ayla assembles a straight path for her toy trains using 11 pieces of track. Each piece of track is 8 centimeters long.

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

88 centimeters

Step-by-step explanation:

8 times 11 is 88

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The equation of a circle is x^2+y^2-2x +6y-6=0. Find the center and radius of the circle by completing the square.you must inclu

zavuch27 [327]

Answer:

The center of the circle is at;

$(1,-3)$

The radius of the circle is;

$r=4$

Explanation:

Given the equation of circle;

$x^2+y^2-2x+6y-6=0$

we want to re-write it in the form;

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

where;

$\begin{gathered} (h,k)\text{ is the center of the circle} \\ r\text{ is the radius} \end{gathered}$

Applying Completing the square method;

$\begin{gathered} x^2+y^2-2x+6y-6=0 \\ x^2-2x+1+y^2+6y+9=6+1+9 \\ (x-1)^2+(y+3)^2=16 \\ (x-1)^2+(y+3)^2=4^2 \end{gathered}$

comparing the derived equation to the general form we have;

$\begin{gathered} h=1 \\ k=-3 \\ r=4 \end{gathered}$

Therefore;

The center of the circle is at;

$(1,-3)$

The radius of the circle is;

$r=4$

6 0

1 year ago

Solve for y2 m= y2-y1 / x2-x1

Alex Ar [27]

M=(y2-y1)/(x2-x1) (Multiplied terms on both sides of equation by (x2-x1).)

m(x2-x1)=y2-y1 (Added y1 to both sides of equation, ultimately isolating y2.)

y2=m(x2-x1)+y1

5 0

3 years ago

Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She r

spayn [35]

The total value of the uniform Aileen sold is x= 2260 on monthly Commission sells.

Given,

Let us assume the all little League uniform = x

Aileen first commission 10% of 2000$ in sales.

Aileen Second Commission 12% of (x-2000)$

Total Commission Aileen Earner = 10% ×2000 + 12% × (x-2000)

231.2 = 0.1× 2000 + 0.12× (x-2000)

231.2 = 200 + (0.12x - 240 )

231.2 = 200 + 0.12x - 240

After Transformation, we get

0.12x = 231.2 - 200 +240

0.12x = 271.2

x = 271.2/.12

x = 2260

Aileen Sell the total value of Lopez Sporting Goods Uniform is 2260.

So the final Answer is x = 2260$.

Learn more about the Commission here.

brainly.com/question/23386624

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1 year ago

A square has vertices A,B,C and D

Rama09 [41]

Answer: Bruh im not even close to learning that stuff lol

Step-by-step explanation:

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4 years ago

a survey shows that 85% of students carry a backpack to school. if there are 320 students in the school, then how many students

Andreyy89

.85×320=272 students carry a backpack to school

4 0

3 years ago

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