Answer: (C) x² - 4x + 5 = 0
<u>Step-by-step explanation:</u>
x = 2 ± i
⇒ x = 2 + i and x = 2 - i
⇒ x - (2 + i) = 0 and x - (2 - i) = 0
0 = (x - 2 - i)(x - 2 + i)
= x(x - 2 + i) -2(x - 2 + i) -i(x - 2 + i)
= x² - 2x +xi -2x + 4 <u>- 2i</u> -xi <u>+ 2i</u> - i²
= x² - 4x + 4 - i²
= x² - 4x + 4 -(-1)
= x² - 4x + 5
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Answer: B
Explanation:
The slope from (0, 0) to (1, 4) is a rise of 4 and a run of 1, thus, m = 4/1 = 4
Answer:
C
Step-by-step explanation:
Since the angles at the centre subtended by the congruent arcs WX and YZ
Then ∠YOZ = ∠WOX = 103° → C
Answer:
yes you are
Step-by-step explanation:
Answer:
y=1
Step-by-step explanation:
y= 4 - 2x
y= -5 + 4x
4 - 2x = -5 + 4x
4 + 5 = 4x +2x
9 = 6x
9/6 = x
3/2 = x
y= 4 -2(3/2)
y = 4 - 3
y = 1
10 - 4 2/3
First, we convert mixed fraction into improper fraction.
4 2/3 = ((4*3)+2)/3 = 14/3
In subtracting fractions:
1) Both must have the same denominator.
10 is 10/1 and 14/3 have different denominators.
2) Once they have the same denominator, then subtraction may be performed.
10 - 14/3 = 10 * 3/3 - 14/3 = 30/3 - 14/3 = 16/3
3) 16/3 must be simplified.
16/3 = 5 1/3
10 - 4 2/3 = 5 1/3
