Step-by-step explanation:
on line AB
X + 117 = 180 ( Angle sum property )
X = 63°
and
X+Y = 90° (given )
63° + Y = 90°
Y = 27°
X=1
if you try and find the gradient which is change in y/ change in x so 7/0 you get 0 (no gradient). And it can’t be y= 1 as the y values are 4 and -3
Step-by-step explanation:
=3x (2x+7)+2(2x+7)
=6x2+21x+4x+14
6x2+25x +14
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)