Step-by-step explanation:
5x^2+2x=1
5x^2+2x-1=0
x=-b+/-√b^2-4ac÷2a
x=-2+/-√-2^2-(4×5×-1)÷2×5
x=-2+/+√4--20÷10
x=-2+/-√24÷10
x=-2+√24÷10 or -2-√24÷10
x=-2+4.9÷10 or -2-4.9÷10
x=2.9÷10 or -6.9÷10
x=0.29 or -0.69
Answer : Slope = -4x/1
Explanation : The line is decreasing, which makes the slope a negative. And if you go down four spaces and to the right one space you have your slope.
Answer:
2.75
Step-by-step explanation:
55-11(4)=2.75
2.75+11=13.75
13.75x4=55
Answer:
Radius:
Step-by-step explanation:
Given
Solving (a): The radius of the circle
First, we express the equation as:
Where
So, we have:
Divide through by 9
Rewrite as:
Group the expression into 2
Next, we complete the square on each group.
For
1: Divide the
2: Take the
3: Add this
So, we have:
Factorize
Apply the same to y
Add the fractions
Recall that:
By comparison:
Take square roots of both sides
Split
Rationalize
Solving (b): The center
Recall that:
Where
From:
and
Solve for h and k
and
Hence, the center is:
Order them in which the number with x are on one side and the rest are on the other side
5x-9x=-8+10-50
-4x=-48
X=-48/-4
X=12