![\large\underline{\mathbb{\blue{ \: \: \: DISTANCE \: \: \: }}}:](https://tex.z-dn.net/?f=%5Clarge%5Cunderline%7B%5Cmathbb%7B%5Cblue%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20DISTANCE%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%7D%7D%3A)
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![\begin{gathered}{\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%7B%5Cunderline%7B%5Chuge%20%5Cmathbb%7BA%7D%20%7B%5Clarge%20%5Cmathrm%20%7BNSWER%20%3A%20%7D%7D%7D%7D%20%5C%5C%20%5Cend%7Bgathered%7D)
![\qquad \qquad\quad \large \boxed{ \bold{ \:\: \pmb{17.69 \:units \: \: }}} \\](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%5Cquad%20%5Clarge%20%5Cboxed%7B%20%5Cbold%7B%20%5C%3A%5C%3A%20%20%5Cpmb%7B17.69%20%5C%3Aunits%20%5C%3A%20%20%5C%3A%20%20%7D%7D%7D%20%5C%5C%20)
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![{\underline{\huge \mathbb{S} {\large \mathrm {OLUTION : }}}}](https://tex.z-dn.net/?f=%7B%5Cunderline%7B%5Chuge%20%5Cmathbb%7BS%7D%20%7B%5Clarge%20%5Cmathrm%20%7BOLUTION%20%3A%20%7D%7D%7D%7D%20)
Determine the length from <u>point A</u> to <u>point B</u> using the given formula.
![\begin{gathered}\begin{gathered}\bold{Formula : } \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \\ \boxed{\rm \: \: \: D= \sqrt{(x_2 - x_1 {)}^{2} + (y_2 - y_1 {)}^{2} } \: \: \: }\\\end{gathered} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cbegin%7Bgathered%7D%5Cbold%7BFormula%20%3A%20%7D%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5C%5C%20%5Cboxed%7B%5Crm%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20D%3D%20%5Csqrt%7B%28x_2%20-%20x_1%20%7B%29%7D%5E%7B2%7D%20%2B%20%28y_2%20-%20y_1%20%7B%29%7D%5E%7B2%7D%20%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%5C%5C%5Cend%7Bgathered%7D%20%5Cend%7Bgathered%7D%20)
![\begin{gathered} \qquad \qquad \quad \hookrightarrow \: \: \tt{(x_1, y_1) = \green{ (-4,3) }}\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%20%5Cqquad%20%5Cquad%20%5Chookrightarrow%20%5C%3A%20%5C%3A%20%5Ctt%7B%28x_1%2C%20y_1%29%20%3D%20%5Cgreen%7B%20%28-4%2C3%29%20%7D%7D%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered} \qquad \qquad \quad \hookrightarrow \: \: \tt{(x_2, y_2) = \blue{(9,15) }} \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%20%5Cqquad%20%5Cquad%20%5Chookrightarrow%20%5C%3A%20%5C%3A%20%5Ctt%7B%28x_2%2C%20y_2%29%20%3D%20%5Cblue%7B%289%2C15%29%20%7D%7D%20%5C%5C%20%5Cend%7Bgathered%7D%20)
Substitute in the two values of x and y coordinates.
![\sf \implies Distance = \sqrt{(\blue{9}\:- \: \green{-4}{)}^{2} + (\blue{15}\:-\:\green{3}{)}^{2} }\\](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20Distance%20%3D%20%5Csqrt%7B%28%5Cblue%7B9%7D%5C%3A-%20%5C%3A%20%5Cgreen%7B-4%7D%7B%29%7D%5E%7B2%7D%20%2B%20%28%5Cblue%7B15%7D%5C%3A-%5C%3A%5Cgreen%7B3%7D%7B%29%7D%5E%7B2%7D%20%7D%5C%5C)
![\begin{gathered} \sf: \implies Distance = {\pink{\sqrt{(13 {)}^{2}}} + \purple{(12{)}^{2}} }\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csf%3A%20%5Cimplies%20Distance%20%3D%20%7B%5Cpink%7B%5Csqrt%7B%2813%20%7B%29%7D%5E%7B2%7D%7D%7D%20%2B%20%5Cpurple%7B%2812%7B%29%7D%5E%7B2%7D%7D%20%7D%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered} \sf: \implies Distance = {\red{\sqrt{(169) }}+ \blue{(144)}}\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%20%5Csf%3A%20%5Cimplies%20Distance%20%3D%20%7B%5Cred%7B%5Csqrt%7B%28169%29%20%7D%7D%2B%20%5Cblue%7B%28144%29%7D%7D%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered} \sf: \implies Distance = \pmb{\sqrt{313}}\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csf%3A%20%5Cimplies%20Distance%20%3D%20%5Cpmb%7B%5Csqrt%7B313%7D%7D%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered} \sf: \implies Distance = \pmb{17.69}\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csf%3A%20%5Cimplies%20Distance%20%3D%20%5Cpmb%7B17.69%7D%5C%5C%5Cend%7Bgathered%7D%20)
Therefore, the distance between two points is <u>17.69 units</u> or
.
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![\large \tt{08/18/2022 \quad \qquad- \sf\copyright \: \large\tt{Eutoroxia}}](https://tex.z-dn.net/?f=%5Clarge%20%5Ctt%7B08%2F18%2F2022%20%5Cquad%20%5Cqquad-%20%5Csf%5Ccopyright%20%5C%3A%20%5Clarge%5Ctt%7BEutoroxia%7D%7D)
X= 8 and z= 70 in this question
Y = 0
x = ?
y= x^2 -6x +9
0 = x^2 - 6x +9
(x -3)
(x -3)
(x-3)(x-3)
x = 3
y = 3^2 - 6(3) + 9
y = 9 - 18 + 9
y = 18
Answer
x= 3, y = 18
hope this helps :D
Answer:
![{8}^{ \frac{x}{3} }](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7Bx%7D%7B3%7D%20%7D%20)
Step-by-step explanation:
Hope that this is helpful.
Have a great day.