Alright,
(a) 2x+4(x-1)=2
2x+4x-4=2---- Distrubution of 4(x-1)
6x-4=2---- Combining like terms
6x=6---- Making -4 equal 0 by adding +4 to both sides
x=1---- Divide the coefficiant (6)
(b) 25-x=15-(3x+10)
25-x=15-3x-10----Distribute the -1
25-x=5-3x---- Combine like terms
25=5-2x---- Make -x equal 0 by adding +x to both sides
20=-2x---- Make 5 equal zero by subtracting 5 (or adding -5) to both sides
-10=x---- Divide by the coefficiant (-2)
(c) 4x= 2x+2x+5(x-x)
4x=2x+2x+5(0)---- Distribute. Alright this might look hard but realy it is 1x-1x so the answer is 0
4x=2x+2x---- 5 times 0 is 0
4x=4x---- Combine like terms
x=x ---- divide by the coefficiant
Alright! Hope this helps! ;)
By the polynomial remainder theorem, the remainder is
<em>f</em> (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial <em>p(x)</em> has remainder <em>p(c)</em> upon dividing it by <em>x</em> - <em>c</em>.)
Answer:
d and g
Step-by-step explanation:
Given
(x - 2)² = - 16 ( take the square root of both sides )
x - 2 = ± 
= ± 
= ± 4i ( add 2 to both sides )
x = 2 ± 4i
Thus
x = 2 + 4i → (d)
x = 2 - 4i → (g)
Answer:
Step-by-step explanation:
Slope intercept form is 
where <em>m </em>is the slope and <em>b </em>is the y-intercept.
Slope is 
or 
in this case = 
Substitute one of the coordinates for x and y. I am going to use (0, -4) so:
since m = 2 and b = -4, we can conclude that the equation would be
Answer:
Tangent (function) more ... In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side. The abbreviation is tan.
