PLEASE HELP. What is the equation of the circle in standard form where the center is (-16,-14) and another point on the circle is (-8,-8)

Answers

Answer 1

Answer:

recall that the radius is the distance from the center of a circle to any point on the circle.

we know the center is at -16,-14, and we know that -8,-8 is a point on the circle, so the distance between both must be the radius.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\n\n(\stackrel{x_1}{-16}~,~\stackrel{y_1}{-14})\qquad(\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})\qquad \qquadd = √(( x_2- x_1)^2 + ( y_2- y_1)^2)\n\n\n\stackrel{radius}{r}=√([-8-(-16)]^2+[-8-(-14)]^2)\n\n\nr=√((-8+16)^2+(-8+14)^2)\implies r=√(8^2+6^2)\n\n\nr=√(100)\implies \boxed{r=10}\n\n[-0.35em]\rule{34em}{0.25pt}$

$\bf \textit{equation of a circle}\n\n(x- h)^2+(y- k)^2= r^2\qquadcenter~~(\stackrel{-16}{ h},\stackrel{-14}{ k})\qquad \qquadradius=\stackrel{10}{ r}\n\n\n\[x-(-16)]^2+[y-(-14)]^2=10^2\implies \blacktriangleright (x+16)^2+(y+14)^2=100 \blacktriangleleft$

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The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
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Answers

Given:
year 0 - 2005 : 90,000
year 1 - 2006 : 91,200

91,200 - 90,000 = 1,200
1,200 / 90,000 = 0.013

90,000 (1+0.013)^1 ⇒ 90,000 (1.013)^1 = 91,170 OR 91,200

The best representation of the relationship between x and f(x) is choice 2.
f(x) = 90(1.013)x

Please help me determine the wedge/dash molecular structure, (R)-5,5-dibromo-3-fluoro-2-methyl-3-hexanol.

Answers

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Are simplified ratios written in units?

Answers

Answer:

Step-by-step explanation:

Simplified ratios are not written in units.

The equation |p| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best describes how many points can be earned or lost during one turn?A. –2

B. 2

C. 0 or 2

D. –2 or 2

Answers

By basic definition, the absolute value of a number determines just how far that number is from 0 on the number line. Because of that, the absolute value can never be a negative number, because the positive or negative number will have the same distance.

In the case of |p| = 2, p can either be -2 or 2. Among the choices, the correct answer is D.

Answer:

–2 or 2

Step-by-step explanation:

answer in the picture

Tamika had a 4 by 7 in. photograph enlarged. Both length and width were increased to 130% of the original size. Find the perimeter of the enlarged photograph.

Answers

4*130%=5.2
7*130%=9.1
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or You can just do
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Answers

Answer: $\{y | \ y \in \mathbb{R}, \ y \ge 0\}$

This translates to "y is any real number such that it is 0 or larger".

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So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

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