Supposse that the distance from the point
to the point
is equal to the distance from
to the point
. Then, by the formula of the distnace we must have
![\sqrt{(x-3)^2 + (y-0)^2}=\sqrt{(x-7)^2 + (y-0)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-3%29%5E2%20%2B%20%28y-0%29%5E2%7D%3D%5Csqrt%7B%28x-7%29%5E2%20%2B%20%28y-0%29%5E2%7D)
cancel the square root and the
's, and then expand the parenthesis to obtain
![x^2 - 6x + 9 = x^2 - 14x + 49](https://tex.z-dn.net/?f=x%5E2%20-%206x%20%2B%209%20%3D%20x%5E2%20-%2014x%20%2B%2049)
then, simplifying we obtain
![8x = 40](https://tex.z-dn.net/?f=8x%20%3D%2040%20)
therfore we must have
![x=5](https://tex.z-dn.net/?f=x%3D5)
this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points:
. The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.
The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
Learn more about fraction:
brainly.com/question/1622425
Answer:
8 units
Step-by-step explanation:
The longer leg extends upward from y = -3 to y = 5, so its length is 8 units.
<h3><u>Answer</u> :</h3>
![\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}](https://tex.z-dn.net/?f=%5Cbigstar%5C%3A%5Cboxed%7B%5Cbf%7B%5Cpurple%7Bx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%7D%3D%5Corange%7B%28%5Csqrt%5Bn%5D%7Bx%7D%29%5Em%7D%7D%7D)
Let's solve !
![:\implies\sf\:25^{\frac{3}{2}}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Csf%5C%3A25%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
![:\implies\sf\:(\sqrt[2]{25})^3](https://tex.z-dn.net/?f=%3A%5Cimplies%5Csf%5C%3A%28%5Csqrt%5B2%5D%7B25%7D%29%5E3)
![:\implies\sf\:5^3](https://tex.z-dn.net/?f=%3A%5Cimplies%5Csf%5C%3A5%5E3)
![:\implies\boxed{\bf{\red{125}}}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Cboxed%7B%5Cbf%7B%5Cred%7B125%7D%7D%7D)
<u>Hence, Oprion-D is correct</u> !