Answer:
Rhombus
Step-by-step explanation:
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To solve, simply layout an equation.
(2x+3)(x+4)=1
Step 1: Simplify both sides of the equation.
2x2+11x+12=1
Step 2: Subtract 1 from both sides.
2x2+11x+12−1=1−1
2x2+11x+11=0
Step 3: Use quadratic formula with a=2, b=11, c=11.
x=-b±√b^2-4ac/2a
So, the answer for this problem is:
x=-11/4+1/4√33 or -11/4+-1/4√33
Answer:
1/5
Step-by-step explanation:
y1-y2/x1-y2 = (3-1)/5-(-5)
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
Answer:
The end result is -1/(x + 1)
Step-by-step explanation:
In order to find the answer to this, we first need to factor the denominator. Since it is a quadratic, we try to find number that multiply to the last term (8) and add to the middle term (9). In this case, the numbers 8 and 1 would work. This allows us to use those numbers in parenthesis along with x as a fully factored form.
x^2 + 9x + 8 = (x + 1)(x + 8)
Now that we have this factored we can take the original equation and factor a -1 out of the top.
(-1)(x + 8)/(x + 1)(x + 8)
Since there is an (x + 8) on the top and bottom, we can cancel those.
-1/(x + 1)