If s - 8t + 20 = 5s - 7t + 1 = 0, then the value of s + t, to the nearest tenth, is __________?
1 answer:
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Answer:
The values of x are x = -2 and x= 1.
Step-by-step explanation:
The given equation -x²+4 = x+2 can be written in the form of two functions as
y = -x²+4 which is a function representing parabola and
y = x+2 which is a straight line.
Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.
-x²+4 = x+2
-x²+4-x = x+2-x
-x²-x+4 = 2
-x²-x+4-2 = 2-2
-x²-x+2 = 0
Or x²+x-2=0
Now we will factorize the equation.
x²+2x-x-2=0
x(x+2)-1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 ⇒x = -2
x-1 = 0 ⇒x = 1
For x = 1, y will be 3
and for x = -2, y will be 0
Now we can see the graph for the given coordinates (-2,0) and (1,3).
Using the ratio of perfect squares method, the square root of 22 rounded to the nearest hundredth is 4.67
Hope this helps!! If you have any other questions or would like further explanation just let me know!! :)