Rearrange to standard form:-
x^2 - 10x + y^2 = 11
(x - 5)^2 - 25 + y^2 = 11
(x - 5)^2 + y^2 = 36
Center of circle = (5, 0) and radius = sqrt36 = 6
Answer:
Slope = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
<em><u>You can use the slope formula to solve this:</u></em>
m = ![\frac{y_{2}-y_{1} }{x_{2} -x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D%20-x_%7B1%7D%20%7D)
<u><em>Plug in the numbers:</em></u>
m = ![\frac{5+1 = 6}{6+2 = 8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2B1%20%3D%206%7D%7B6%2B2%20%3D%208%7D)
m = ![\frac{6}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B8%7D)
<u><em>Simplify/Reduce:</em></u>
m = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Answer:
25 cm.
Step-by-step explaination:
Given,
Two sides of a triangle:
a = 7cm
b = 24 cm
To find,
Third side:
c = ?
By Pythagorean Theorem;
a² + b² = c²
[where c is the longest side,hypotenuse]
Putting the value of a and b;
we get,
7² + 24² = c²
49 + 576 = c²
625 = c²
25² = c² (square root)
25 = c
c = 25
Therefore, the length of the third side will be equal to 25 cm.
As can be seen from the figure above, when two lines intersect, four angles are formed. Each opposite pair are called vertical angles and are always congruent. The red angles ∠JQM and ∠LQK are equal, as are the blue angles ∠JQL and ∠MQK. Vertical angles are also called opposite angles.