Part A
The given line passes through (-2,2) and it is parallel to the line
We need to determine the slope of this line by writing it in slope -intercept form.
The slope of this line is
The line parallel to this line also has slope
The equation is
We substitute (-2,2)
The required equation is
PART B
The given line is
The slope of this line is
The slope of the line perpendicular to it is
The equation of the line is
We substitute the point, (-2,2)
The equation of the perpendicular line is
Answer: 1 ⁸/₂₁ litres
Step-by-step explanation:
First find a common multiple to enable you add them up:
= 21
21 will be the denominator.
Multiply each numerator by the number you get when you divide 21 by the denominator.
= 21/3 = 7
= 7 * 2 = 14
= 21/7 = 3
= 3 * 5
= 15
litres
It is not a true biconditional.
Answer:
Not a solution.
Step-by-step explanation:
(x, y)
(-1, 2)
Substitute the x and y values in the expression with the point given.
8x + y > -6
8(-1) + 2 > -6
-8 + 2 > -6
-6 > -6
Since our final value has to be greater than -6 but is instead equal to -6, the solution is not true.
Answer:
K'= (-1,-1)
J'= (-1,-5)
L'= (0,-3)
Step-by-step explanation:
What you do here is, input the (x,y) coordinates into the translation.
For example, the original point K is (-3,5). Insert this into the translation.
(-3,5) → (-3+2, 5-8) = (-1,-3)
Repeat this for the next coordinates of L and J.
J= (-3,3)
(-3,3) → (-3+2, 3-8) = (-1,-5)
L= (-2, 5)
(-2, 5) → (-2+2, 5-8) = (0,-3)