Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
The distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex](x_1,y_1)=(-2,4) \\ d=7 \\ \\ 7=\sqrt{(x-(-2))^2+(y-4)^2} \\ 7=\sqrt{(x+2)^2+(y-4)^2} \ \ \ |^2 \\ 49=(x+2)^2+(y-4)^2[/tex]
Check which point satisfies the equation:
[tex](x,y)=(-5,4) \\ 49 \stackrel{?}{=} (-5+2)^2+(4-4)^2 \\ 49 \stackrel{?}{=} (-3)^2+0^2 \\ 49 \stackrel{?}{=} 9 \\ 49 \not= 9 \\ doesn't \ satisfy \ the \ equation[/tex]
[tex](x,y)=(-2,3) \\ 49 \stackrel{?}{=} (-2+2)^2+(3-4)^2 \\ 49 \stackrel{?}{=} 0^2+(-1)^2 \\ 49 \stackrel{?}{=} 1 \\ 49 \not= 1 \\ doesn't \ satisfy \ the \ equation[/tex]
[tex](x,y)=(5,4) \\ 49 \stackrel{?}{=} (5+2)^2+(4-4)^2 \\ 49 \stackrel{?}{=} 7^2+0^2 \\ 49 \stackrel{?}{=} 49 \\ 49=49 \\ satisfies \ the \ equation[/tex]
[tex](x,y)=(9,4) \\ 49 \stackrel{?}{=} (9+2)^2+(4-4)^2 \\ 49 \stackrel{?}{=} 11^2+0^2 \\ 49 \stackrel{?}{=} 121 \\ 49 \not= 121 \\ doesn't \ satisfy \ the \ equation[/tex]
The answer is C.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex](x_1,y_1)=(-2,4) \\ d=7 \\ \\ 7=\sqrt{(x-(-2))^2+(y-4)^2} \\ 7=\sqrt{(x+2)^2+(y-4)^2} \ \ \ |^2 \\ 49=(x+2)^2+(y-4)^2[/tex]
Check which point satisfies the equation:
[tex](x,y)=(-5,4) \\ 49 \stackrel{?}{=} (-5+2)^2+(4-4)^2 \\ 49 \stackrel{?}{=} (-3)^2+0^2 \\ 49 \stackrel{?}{=} 9 \\ 49 \not= 9 \\ doesn't \ satisfy \ the \ equation[/tex]
[tex](x,y)=(-2,3) \\ 49 \stackrel{?}{=} (-2+2)^2+(3-4)^2 \\ 49 \stackrel{?}{=} 0^2+(-1)^2 \\ 49 \stackrel{?}{=} 1 \\ 49 \not= 1 \\ doesn't \ satisfy \ the \ equation[/tex]
[tex](x,y)=(5,4) \\ 49 \stackrel{?}{=} (5+2)^2+(4-4)^2 \\ 49 \stackrel{?}{=} 7^2+0^2 \\ 49 \stackrel{?}{=} 49 \\ 49=49 \\ satisfies \ the \ equation[/tex]
[tex](x,y)=(9,4) \\ 49 \stackrel{?}{=} (9+2)^2+(4-4)^2 \\ 49 \stackrel{?}{=} 11^2+0^2 \\ 49 \stackrel{?}{=} 121 \\ 49 \not= 121 \\ doesn't \ satisfy \ the \ equation[/tex]
The answer is C.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.