Answer:
(x-3)(x-6)
Step-by-step explanation:
Fill in g into f and simplify:
(x-2)²-5(x-2)+4 =
x² - 4x + 4 - 5x + 10 + 4 =
x² - 9x + 18 =
(x-3)(x-6)
<h3>
Answer: (x+1)(x+3)</h3>
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Explanation:
Let's assume it factors into (x+a)(x+b)
The goal is to find the two numbers a and b.
FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab
Note how a+b is the middle term and ab is the last term.
In the original expression, 4 is the middle term and 3 is the last term.
So we need to find two numbers that
There are two ways to multiply to 3 and they are
- 1 times 3 = 3
- -1 times -3 = -3
But only the first way has the factors add to 4. So that means a = 1 and b = 3.
Therefore (x+a)(x+b) = (x+1)(x+3)
And x^2+4x+3 = (x+1)(x+3)
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
Answer: (4) 14
Step-by-step explanation:
8x - 2y if x is 3 and y is 5
8x = 24
2y = 10
24 - 10 = 14
So 8x - 2y is 14.
Answer:
46.5
explanation
6.022*10^23 molecules=40g.
7.00*10^23=40*7.00*10^23/6.022*10^23 g =46.5 g
