The solution to the system of equations y= x - 4 and y= 6x - 10 is (1.2,-2.8) by using substitution method and solving the resulting equation.
To solve this system of equations, you can use the substitution method. Since both equations have 'y' isolated, you can set them equal to each other. This gives you x - 4 = 6x - 10. To solve this equation, you can subtract 'x' from both sides which will give you -4 = 5x - 10. Then add 10 to both sides to give you 6 = 5x. Finally, divide by 5 on both sides to give you x = 1.2. Substituting x = 1.2 into the first equation y = x - 4 gives us y = 1.2 - 4, which simplifies to y = -2.8. Thus the solution to the system of equations is (1.2,-2.8).
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–32 + _____ = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± _____ = x + 5
x = –2 or x = ____
_____=missing pieces
The steps used in completing the square of the given quadratic equation have been detailed below.
The first step given is;
- 32 = 2(x² + 10x)
The next step is to add a square of half the coefficient of x. Which in this case is 50 to both sides.
Second step is;
-32 + 50 = 2(x² + 10x + 25)
Third step is to further simplify the left and favtorize the right to get;
18 = 2(x + 5)²
9 = (x + 5)²
Fourth step is to take square root of both sides to get;
±√9 = x + 5
±3 = x + 5
Thus;
x = - 2 or x = - 8
Read more about completing the square at; brainly.com/question/10449635
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b) a rectangular house has a total perimeter of 34 metres and the width is 5 metres less than the length. what are the dimensions of the house?
c) if two chupa chups and three wizz fizzes cost $2.55, but 5 chupa chups and seven wizz fizzes cost $6.10, find the price of each type of lolly.
2x-2
Answer:
The answer would be 13, I hope this helped!!!
Step-by-step explanation: