3 years ago

All of the following expressions are equivalent except _____.

Mathematics

1 answer:

ziro4ka [17]3 years ago

5 0

The final one, as all of the twos are negative in the other options

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Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)

Angelina_Jolie [31]

$\text{we know that the general equation of the circle is }\\
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(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
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\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
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\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
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(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169$

3 0

3 years ago

One leg of a right triangle has length 7. The lengths of the other two sides are whole numbers. The length of the other leg is _

suter [353]

Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!!

Marianna [84]

Answer:

Step-by-step explanation:

formula for area of a triangle is base * width * 1/2

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3 years ago

What is the answer for<br> 3(x-2)+6x=3x-2+6x

Rudiy27