Answer:
2.4 inches
Step-by-step explanation:
Actual Dimension of bedroom = 10' * 8'
In the model ; longer side = 3 inches
Length of shorter side in the model ;
Longer side of actual bedroom = 10'
Scale factor * length = model length
Scale factor * 10 = 3
Scale factor = 3/10
Hence, length of shorter side :
Scale factor * actual length of shorter side
3/10 * 8
24 / 10
= 2.4 inches
Answer:
y = -5x-3
Step-by-step explanation:
You use rise/run to simply find the m
which will be -5/1
because look at the point at (-1,2) and now move down 5 points and 1 to the right so u will reach the point that is on the y axis. so because u moved 5 down so tht is -5 and moves 1 to the right so tht is 1 and we use rise/run to write our slope. so its -5 and now we see where our point is on the y axis so that is -3. so thats our b because b means y intercept
Answer:
74747
Step-by-step explanation:
Answer:
Given Two equations :-
![3x {}^{2} - 2 {y}^{2} = 57 .\: .\: .\: . \:(i) \\ - 2 {x}^{2} + 3 {y}^{2} = -23.\: .\: .\: . \:(ii)](https://tex.z-dn.net/?f=3x%20%7B%7D%5E%7B2%7D%20%20-%202%20%7By%7D%5E%7B2%7D%20%20%3D%2057%20%20.%5C%3A%20%20.%5C%3A%20%20.%5C%3A%20.%20%5C%3A%28i%29%20%5C%5C%20%20-%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%20%7By%7D%5E%7B2%7D%20%20%3D%20%20-23.%5C%3A%20%20.%5C%3A%20%20.%5C%3A%20.%20%5C%3A%28ii%29)
- multiplying eq.(i) by 2 eq.(ii) by 3.
![(3x {}^{2} - 2 {y}^{2} = 57 ) \times 2 .\: .\: .\: . \:(i) \\ ( - 2 {x}^{2} + 3{y}^{2} = - 23) \times 3.\: .\: .\: . \:(ii)](https://tex.z-dn.net/?f=%283x%20%7B%7D%5E%7B2%7D%20%20-%202%20%7By%7D%5E%7B2%7D%20%20%3D%2057%20%29%20%5Ctimes%202%20.%5C%3A%20%20.%5C%3A%20%20.%5C%3A%20.%20%5C%3A%28i%29%20%5C%5C%20%28%20-%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%7By%7D%5E%7B2%7D%20%20%3D%20%20-%2023%29%20%5Ctimes%203.%5C%3A%20%20.%5C%3A%20%20.%5C%3A%20.%20%5C%3A%28ii%29)
![6x {}^{2} - 4 {y}^{2} =114 .\: .\: .\: . \:(i) \\ - 6 {x}^{2} + 9 {y}^{2} = - 69.\: .\: .\: . \:(ii)](https://tex.z-dn.net/?f=6x%20%7B%7D%5E%7B2%7D%20%20-%204%20%7By%7D%5E%7B2%7D%20%20%3D114%20.%5C%3A%20%20.%5C%3A%20%20.%5C%3A%20.%20%5C%3A%28i%29%20%5C%5C%20%20-%206%20%7Bx%7D%5E%7B2%7D%20%20%2B%209%20%7By%7D%5E%7B2%7D%20%20%3D%20%20-%2069.%5C%3A%20%20.%5C%3A%20%20.%5C%3A%20.%20%5C%3A%28ii%29)
![0 + 5 {y}^{2} = 45 \\ 5y {}^{2} = 45](https://tex.z-dn.net/?f=0%20%2B%205%20%7By%7D%5E%7B2%7D%20%20%3D%2045%20%5C%5C%205y%20%7B%7D%5E%7B2%7D%20%20%3D%2045%20)
![{y}^{2} = 9](https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%3D%209)
![y = + - 3](https://tex.z-dn.net/?f=y%20%3D%20%20%2B%20%20-%203)
- <u>placing this value of y² in eq. (i)</u>
3x²- 2×9 = 57
3x² - 18 = 57
3x² = 57 + 18
3x²= 75
x² = 25
<u>x = ± 5</u>
<h3>So, the values of x are <u>+5 and -5</u> </h3><h3>and the values of y are
<u>+3 and -3</u></h3>