since the triangles are similar
angle DEC = 60 degrees
3 angles inside a triangle equal 180 degrees
BAC = DCE = 64
CBA = EDC = 56
DEC = 180 -56 -64 = 60 degrees
used angle-angle theorem
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. 5/6
Steps:
Use the formula x1-x2/y1-y2 to find the slope
(5,11), (-5,-1)
-5-5/-1-11
= -10/-12
=5/6
Who to do with numbers . at least put some signs in there .
Answer:
Step-by-step explanation:
f(x) = x⁴ - 9x³ - 8x² - 9x - 2
f(-3) = (-3)⁴ -9*(-3)³ - 8*(-3)² - 9*(-3) - 2
= 81 - 9*(-27) - 8*9 + 27 -2
= 81 + 243 - 72 + 27 - 2
= 277
