Answer:
see explanation
Step-by-step explanation:
(a)
x² - 2x - 4
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 2x
= x² + 2(- 1)x + 1 - 1 - 4
= (x - 1)² - 5
with c = - 1 and d = - 5
(b)
x² - 2x - 4 = 0 ← using result from (a) , that is
(x - 1)² - 5 = 0 ( add 5 to both sides )
(x - 1)² = 5 ( take the square root of both sides )
x - 1 = ± 
( add 1 to both sides )
x = 1 ±
Answer:
1) y= 2x-4
2) y= 2/3 - 3
3) y=1/2x+2
4) y=-4x-4
Step-by-step explanation:
all you basically has to do is is subtract the x to isolate the y and if the y and if the y still has a number by it you use it to decide it
Answer:
124
Step-by-step explanation:
To find the surface area, we add the area from all faces or the prism.
the first face, we can put 8 times 2.5, which is 20. There are two of these faces, so we have 40 in our area so far.
next the other face. 4 times 2.5 is 10, and there are two of these faces. 60 in out area.
now the top and bottom faces. 8 times 4 is 32. there are two of these faces, and 60 +64 = 124
Answer: x = -1 or x = 5/3
Step-by-step explanation:
|3x - 1| = 4
=> 3x - 1 = 4 or 3x - 1 = -4
=>x = 5/3 or x = -1
18 : 78 = 12 : x
x = (78 * 12) : 18
x = 936 : 18
x = 52
52 is your answer
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18 : 78 = 12 : 52
0.23 = 0.23
the answer is good
