Gradient of line= (y2-y1)/(x2-x1)
Gradient of line= (10-(-6))/(8-4)
Gradient of line= 16/4
Gradient of line= 4
Y-intercept
Y=4x+c
When x=8, y=10
10=32+c
c= -22
Equation of line
Y=4x-22
When x=b, y=2b
Y=4x-22
2b=4b-22
22=2b
b=11
Note that (a+b)^2 = a^2 + 2ab + b^2.
Therefore,
b^x (b^x )^2
<span>(2a^x +1/2 b^x)^2 becomes (2a^x)^2 + 2(2a^x)(-------- ) + ------------
2 4
LCD is 4. Thus, we have
4 [ (2a^(2x) ] + 8</span>a^x*b^x + b^(2x)
<span> </span>
9514 1404 393
Answer:
A: 8x +24
B: not equivalent for any value of x
Step-by-step explanation:
<u>Part A</u>:
The factor of 4 on the outside of parentheses multiplies each term inside:
M = 4(2x) +4(6)
M = 8x +24 . . . . . expression equivalent to M
__
<u>Part B</u>:
Expressions M and N are not equivalent for any value of x. They are equivalent if their difference is zero or can be made to be zero. Subtracting N from M, we find the difference to be ...
M -N = (8x +24) -(8x +10) = 14
There is no value of x that will make the difference of 14 become zero.
Answer:
2x+40=y-2
Step-by-step explanation:
twice a number plus 40 equals a sum minus 2
