Describe the graph that would be used to solve the equation-x^2 + 4 = x+2
1 answer:
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).
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Answer:
36 square feet,
Step-by-step explanation:
Given:
Mr Thomas wants to protect his garage by installing a flood barrier.
He connects 2 barriers side by side
Each barrier is 9 feet long by 2 feet high ( breadth)
Question asked:
What is the combined area of the barriers ?
Solution:
Length of each barrier = 9 feet
As he connects 2 barriers side by side, the length will be doubled but height (breadth) will be unchanged.
Total length of two barriers = 9 + 9 = 18 feet
Height (breadth) of the barriers = 2 feet
By using, Area of rectangle =
=
Therefore, combined area of the barriers is 36 square feet,