The value of k is![(3\sqrt{ 10})/2](https://tex.z-dn.net/?f=%283%5Csqrt%7B%2010%7D%29%2F2)
<h3>How to solve the simultaneous equation?</h3>
Given:
x-y=k.............(eq i)
2x²+y²-15..............(eq ii)
We would make y the subject formula in eq ii
2x²+y²-15= 0
2x² + y²= 15
y²= 15-2x²
y=
...........(eq iii)
Substitute the value of y into eq i
x-(
= k
x- (
= k
k= ![(3\sqrt{ 10})/2](https://tex.z-dn.net/?f=%283%5Csqrt%7B%2010%7D%29%2F2)
Read more about simultaneous equations here:
brainly.com/question/16863577
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<span>(x – 13)(x + 8) = 196
</span>x * x + x * 8 - 13 * x - 13 * 8 = 196
x² + 8x - 13x - 104 = 196
x² - 5x - 104 - 196 = 0
x² - 5x - 300 = 0
The missing side length is 28
The x-intercept is (-4/3,0).
Hope that helps!
Answer:
X = 1h15mins
Step-by-step explanation:
Rate Time Distance
Morgan 20 X 20X
Corona 25 X – ¼ 25(X – ¼)
If they meet each other, they need to travle the same distance, mean :
20X = 25(X – ¼)
X = 1.25
1 hour and 15 minutes
Answer:
![Gallons = 27.95](https://tex.z-dn.net/?f=Gallons%20%3D%2027.95)
Step-by-step explanation:
Given
![Gallons : Miles = 17:590](https://tex.z-dn.net/?f=Gallons%20%3A%20Miles%20%3D%2017%3A590)
Required
Determine the number of gallon for 870 miles
To do this, we simply substitute 870 for miles in the ratio above
So, we have:
![Gallons : 870= 17:590](https://tex.z-dn.net/?f=Gallons%20%3A%20870%3D%2017%3A590)
Convert to fraction
![\frac{Gallons}{870} = \frac{17}{590}](https://tex.z-dn.net/?f=%5Cfrac%7BGallons%7D%7B870%7D%20%3D%20%5Cfrac%7B17%7D%7B590%7D)
Multiply through by 870
![870 * \frac{Gallons}{870} = \frac{17}{590}*870](https://tex.z-dn.net/?f=870%20%2A%20%5Cfrac%7BGallons%7D%7B870%7D%20%3D%20%5Cfrac%7B17%7D%7B590%7D%2A870)
![Gallons = \frac{17}{590}*970](https://tex.z-dn.net/?f=Gallons%20%3D%20%5Cfrac%7B17%7D%7B590%7D%2A970)
![Gallons = \frac{17*970}{590}](https://tex.z-dn.net/?f=Gallons%20%3D%20%5Cfrac%7B17%2A970%7D%7B590%7D)
![Gallons = \frac{16490}{590}](https://tex.z-dn.net/?f=Gallons%20%3D%20%5Cfrac%7B16490%7D%7B590%7D)
![Gallons = 27.95](https://tex.z-dn.net/?f=Gallons%20%3D%2027.95)