The slope would be 0
This is basically how you do it if you need more help let me know
Answer:
(6, - 4 )
Step-by-step explanation:
Given the 2 equations
-
y = 3 → (1)
x -
= 12 → (2)
Multiply (1) by 8 and (2) by 6 to clear the fractions
2x - 3y = 24 → (3)
10x - 3y = 72 → (4)
Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides
- 3y = 24 - 2x
Substitute 3y = 24 - 2x into (4)
10x + 24 - 2x = 72, that is
8x + 24 = 72 ( subtract 24 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Substitute x = 6 in either (3) or (4) and solve for y
Substituting in (3)
2(6) - 3y = 24
12 - 3y = 24 ( subtract 12 from both sides )
- 3y = 12 ( divide both sides by - 3 )
y = - 4
Solution is (6, - 4 )
Answer: (C) shifts 6 units to the LEFT
<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
y = a |x - h| + k where;
- a is the vertical stretch (irrelevant for this problem)
- (h, k) is the vertex
Since h represents the x-coordinate and the x-axis is left to right, then h shifts the graph left or right.
- If h is negative, the graph shifts to the left.
- If h is positive, the graph shifts to the right.
x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.
Answer:
b = 3 units
Step-by-step explanation:
Area of a parallelogram = base × height
Thus,
Area = 21 units²
base = b
height = 7
Plug in the value into the formula
Thus:
21 = b × 7
Divide both sides by 7
21/7 = b
3 = b
b = 3 units