MATHEMATICS HIGH SCHOOL

Enter the equation of the circle described below.

Center (5, 2), radius = 3

Answers

Answer 1
Answer: Equation of the circle;
(x-a)^(2) + (y-b)^(2) = r^(2)
a=5, b=2 and r= 3
(x-5)^(2) + (y-2)^(2) = 3^(2)
Answer 2
Answer: for a circle with center (h,k) and radius, r
the equaiton is
(x-h)^2+(y-k)^2=r^2

so

center=(5,2), radius=3

(x-5)^2+(y-2)^2=3^2
(x-5)^2+(y-2)^2=9

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Answers

Option D is the correct answer

Find thesimplfies form of the expression Give your answer in scientific notation. (8x10^4)(9x20^-8)

Answers

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Answers

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Is the formula for an arithmetic function involving D

Gwen wants to know whether the people in her neighborhood are in favor of installing bike lanes along the neighborhood roads. At a community meeting, she asks those attending whether they are in favor of the bike lanes or not. Is the sample likely to be biased or unbiased?A.biased

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Answers

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Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of -2/3 -3/2 2/3

Answers

2/3

Explanation;
Parallel lines have equal gradients.

Answer:

2/3

Step-by-step explanation:

Hope this helps

How do I solve a quadratic equation like this: x squared minus 9x = -14?

Answers

x^2-9x=-14\n\nx^2-9x+14=0\n--------------------\n-9=-7+(-2)\n14=-7\cdot(-2)\n--------------------\n\nx^2-9x+14=(x-7)(x-2)\n\n(x-7)(x-2)=0\iff x-7=0\ or\ x-2=0\n\nx=7\ or\ x=2



x^2-9x+14=0\n\na=1;\ b=-9;\ c=14\n\n\Delta=b^2-4ac\n\n\Delta=(-9)^2-4\cdot1\cdot14=81-56=25\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(9-√(25))/(2\cdot1)=(9-5)/(2)=(4)/(2)=2\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(9+√(25))/(2\cdot1)=(9+5)/(2)=(14)/(2)=7
Bring everything over to one side.
    x² -9x=-14
x²-9x+14=0
Now it is an easy trinomial so you need to find two numbers that add up to -9 and multiply to equal 14. The two numbers are -7 and -2. 
 x²-9x+14=0
 (x-7)(x-2)=0
            x= 7 and 2
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