Answer:
k = 3
Step-by-step explanation:
We have the distance formula:
. We can plug in
= d, x2 = 6, x1=2, y2 = 7, y1 = k.
Then, we can solve the question using some algebra to find that k = 3.
Edit: Here is a step by step:
![4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D%20%3D%20%5Csqrt%7B%286-2%29%5E2%20%2B%20%287-k%29%5E2%7D%5C%5C)
![(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2](https://tex.z-dn.net/?f=%284%5Csqrt%7B2%7D%29%5E2%20%3D%20%286-2%29%5E2%20%2B%20%287-k%29%5E2)
![32 = (4)^2 + (7-k)^2](https://tex.z-dn.net/?f=32%20%3D%20%284%29%5E2%20%2B%20%287-k%29%5E2)
![32 = 16 + (7-k)^2](https://tex.z-dn.net/?f=32%20%3D%2016%20%2B%20%287-k%29%5E2)
![32 - 16 = (7-k)^2](https://tex.z-dn.net/?f=32%20-%2016%20%3D%20%20%287-k%29%5E2)
![16 = (7-k)^2](https://tex.z-dn.net/?f=16%20%3D%20%20%287-k%29%5E2)
![\sqrt{16} = (7-k)](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D%20%3D%20%20%287-k%29)
![4 = 7-k](https://tex.z-dn.net/?f=4%20%3D%207-k)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
Answer:
it should be built at the centre
Answer:
(4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 7
y = -x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 7 = -x + 5
- [Addition Property of Equality] Isolate <em>x</em> terms: 3x - 7 = 5
- [Addition Property of Equality] Isolate <em>x</em> term: 3x = 12
- [Division Property of Equality] Isolate <em>x</em>: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x + 5
- Substitute in <em>x</em>: y = -4 + 5
- Add: y = 1
We can see : KM = KL + LM
So : KM = 14 + 3 = 17
So KM = 17
Hope it helps! If it is, Brainliest please!