Answer:
38 I'm 90% sure here so sorry if I am wrong
Step-by-step explanation:
The solution is 2sqrt77/77. You just fill in 2/3 for the x's. When you do that, you do that you get (2/3)/sqrt(9-[2/3]^2) which, simplified, is (2/3)/sqrt(9-[4/9]). Now use the common denominator under the radical of 9 to get (2/3)/sqrt([81-4]\9). Simplifying even further gives you (2/3)/([sqrt(77)]/3). Now do that division by multiplying 2/3 by the reciprocal of ([sqrt(77)]/3) to get 2/sqrt77. I rationalized the denominator to get that result up there.
Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.
Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.
5 - (-7) / -2 - 2
5 + 7 / -4
12/-4
-3
The slope is -3. The equation becomes y = -3x + b.
To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)
y = -3x + b
5 = -3(-2) + b
5 = 6 + b
-1 = b
The y-intercept is (0, -1). The equation can now be completed!
<h3>
Answer:</h3>
y = -3x - 1
The slope-intercept form:
m - slope
b - y-intercept
We have the slope m = -1 and the point (-1, 3). Substitute:
<em>subtract 1 from both sides</em>
<h3>Answer: y = -x + 2</h3>
<u>Let's first gather all the information we have</u>:
<u>Let's put that into standard form</u> 
- (h, k): center's coordinate
- r: radius
<u>To put that equation into general form</u>:
⇒ expand all the quadratics on one side and move the radius squared
to the same side as the quadratics
<u>Answer: x² + y² + 6x - 4y - 12 = 0</u>
<u></u>
Hope that helps!
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