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Dimas [21]
3 years ago
13

Write the standard equation of a circle that passes through (1, −6) with center (7, −2).

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

D: (x – 7)2 + (y + 2)2 = 52

Step-by-step explanation:

Circle: (x -h)² + (y - k)² = r²    center (h , k)    r: radius

(1 , -6) on the circle: radius   √(1 - 7)² + (-6 - (-2))² = √36 + 16 = √52

(x -7)² + (y +2)² = (√52)² = 52

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I dont know what I'm doing
irakobra [83]
To find the equations what you have to do is use the given points and the slope.

If the line is parallel then the slope will be the same and if it is perp. then the slope will be opposite an reciprocal.

So, you use the point slope form, y-y1 = m(x-x1), and then simplify it to get to the slope intercept form.

y1 is the y coordinate of the given point, m is the slope and x1 is the x coordinate of the given point.

22) The line is parallel so the slope are going to be the same.

y - 5 = 4 (x - 2)
y - 5 = 4x - 8
y = 4x - 3

So the equation parallel to that line would be y = 4x - 3

26) The line is perp. so the slope will be opposite and reciprocal.

y - (3) = -1/2 (x - (-4))
y + 3 = -1/2 (x + 4)
y + 3 = -1/2x - 2 
y = -1/2 x - 5

So the equation to the perp. line will be y = -1/2x - 5


3 0
2 years ago
WHATS THE ANSWER?? ANSWER ASAP
raketka [301]
It’s is A, it’s the rotation of the triangle given to you.
7 0
2 years ago
Write out the first 5 outpouts of g(x)=2^x starting with G(1). If only you knew that the value of g(15) how would you determine
gtnhenbr [62]

The first 5 outputs are:

\begin{array}{c|c}x&2^x\\1&2\\2&4\\3&8\\4&16\\5&32\end{array}

As you can see, the outputs keep doubling each time we increment x by 1.

This can be written formally, observing that if you know the value of 2^x, the next value will be

2^{x+1}=2^x\cdot 2

So, again, we've shown that the next value is twice the previous one, so you have

g(16)=2g(15)

4 0
3 years ago
Identify the slope of the line for the equation y = 10x + 3.
Iteru [2.4K]

Answer:324

Step-by-step explanation:

int i = 42.7;            /* konwersja z double do int */

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f = 4.2;                 /* konwersja z double do float */

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char *str = "foo";       /* konwersja z const char* do char*  [1] */

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Podcza

7 0
2 years ago
Can anyone solve part C?​
nlexa [21]

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

\frac{d}{dx} \int\limits^x_a {f(t)} \, dt = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is <u>y - 7 = 4(x - 35)</u>

3 0
3 years ago
Read 2 more answers
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