Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
Answer:
x = -1
Step-by-step explanation:
Solve for x:
12 = 24 - 4 (-6 x - 3)
-4 (-6 x - 3) = 24 x + 12:
12 = 24 x + 12 + 24
Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):
12 = 24 x + (12 + 24)
12 + 24 = 36:
12 = 24 x + 36
12 = 24 x + 36 is equivalent to 24 x + 36 = 12:
24 x + 36 = 12
Subtract 36 from both sides:
24 x + (36 - 36) = 12 - 36
36 - 36 = 0:
24 x = 12 - 36
12 - 36 = -24:
24 x = -24
Divide both sides of 24 x = -24 by 24:
(24 x)/24 = (-24)/24
24/24 = 1:
x = (-24)/24
The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:
Answer: x = -1
Answer:
0
Step-by-step explanation:
- 0 correct
- 2 incorrect
- 4 incorrect
- 8 incorrect
Answer:
3 kinds of amplifiers
Step-by-step explanation:
