Simplify 3x^2(7x^2 + 2x -4)
1 answer:
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Answers:
Equation is
Center is (-1, -2)
Radius = 5
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Work Shown:
center = (h,k) = (-1,-2)
radius = 5
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Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
Answer:
slope1 : 7, slope 2 = 3 solution: (2,5)
Step-by-step explanation:
I simplify some steps
pair 1: x1 0 2
y1 -9 5 ........ -9, y1 intercept
pair 2: x2 0 2
y2 -1 5 ........ -1, y2 interept
2 pairs meet at (2,5)
y=7x-9 ......A
y=3x-1 ......B
A-B 0=4x-8
4x=8
x=2
y=5
slope 1=( y2-y1) / (x2-x1) = (5- -9)/(2-0) = 14/2 =7
slope 2 = (5 - -1) / (2 - 0) = 6/2 = 3
