![nataliaalejandradasi](/avatars/49140.jpg)
nataliaalejandradasi
05.10.2019 •
Mathematics
Find the y-coordinates of the points that are 10 units away from the point (-7, 6) that have an x-coordinate of 1.
Solved
Show answers
More tips
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- A Auto and Moto Which alarm system to choose?...
- P Photography and Videography What is lens calibration and why is it needed?...
- S Science and Technology How to Choose a Picture Frame: Tips and Recommendations...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
Answers on questions: Mathematics
- M Mathematics What over 126 simplified equals 1/21...
- M Mathematics What is the closest area of a circle of 50 centimeters ...
- E English 1. Katie s love of justice caused her to champion anyone she considered treated unfairty by society. the pain until the strained muscle heats itself 2. This medicine...
- M Mathematics The planet mars could be a future destination for the u.s. space program. assume that mars is a perfect sphere. its surface area is about 145 million square kilometers....
- E English 2. I reject the idea that I am too young to make a difference. The prefix and root in the word reject as they are used in sentence 2 give us an approximate definition....
Ответ:
For a given point (x₁, y₁) the set of all the points that are at a fixed distance R from the point form a circle, such that the equation of the circle is given by:
(x - x₁)^2 + (y - y₁)^2 = R^2
We will find that the two solutions are:
y = 10.37y = 1.64Here we want to find the y-coordinates of all the points that are 10 units away from the point (-7, 6) with an x-component of 1.
First, the circle will be:
(x + 7)^2 + (y - 6)^2 = 10^2
Now the x component must be equal to 1, so x = 1
(1 + 8)^2 + (y - 6)^2 = 100
81 + (y - 6)^2 = 100
(y - 6)^2 = 100 - 81 = 19
(y - 6)^2 = 19
(y - 6) = ±√19 = ±4.36
y = ±4.36 + 6
Then the two y-coordinates are:
y = 4.36 + 6 = 10.37
y = -4.36 + 6 = 1.64
So the two points are:
(1, 10.37) and (1, 1.64)
If you want to learn more, you can read:
link
Ответ:
Ответ:
Just simplify. Hope this helped:)