Answer: D. (-b,0)
applying coordinate geometry practice
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1. b.
2. a.
3. c.
4. d.
5. c.
6. c.
7. a.
8. d.
9. d.
10. b.
Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.
DE = 3x + 4
EF = 5x - 2
DE = EF
DE + EF = DF
Now, let's plug our values for DE and EF into our first expression.
3x + 4 = 5x -2
Add 2 to both sides and subtract 3x from both sides.
6 = 2x
Divide both sides by 2
3 = x
Let's plug 3 in for x into DE.
DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13
DE = EF = 13
We can plug 13 in for DE and EF to get DF
DF = DE + EF = 13 + 13 = 26
Answer:
x^2 - 5x - 6 = (x - 2)(x - 3).
Step-by-step explanation:
f(x) = x^2 - 5x - 6
We need 2 numbers whose product is - 6 and whose sum is -5. They are -3 and -2:
The factors are x- 2 and x - 3.
Answer:
See below.
Step-by-step explanation:
2( x+3) = 5(x-4)
2x + 6 = 5x - 20
2x - 5x = -20 - 6
-3x = -26
x = 8