y = x - 2.....the slope here is 1. A parallel line will have the same slope
y = mx + b
slope(m) = 1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b
so ur parallel line is : y = x - 4
Answer:
12 ft²
Step-by-step explanation:
the rectangular hole area:
l • w = A
3 • 2 = 6 ft
the triangular hole area:
(b • h) / 2 = A
(4 • 3) / 2 = 6 ft
6 ft + 6 ft = 12 ft²
4 (3x+9)-3(5y+7) =11
distribute
12x +36 -15y -21 =11
12x -15y +15 =11
subtract 15 from each side
12x -15y =-4
subtract 12x from each side
-15y= - 12x-4
divide by -15
y = -12/-15 x -4/-15
y = 4/5 x + 4/15
slope = 4/5
y intercept = 4/15
The number of zeros of the quadratic functions, considering their discriminant, is given as follows:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:

The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 0 real solutions.
Hence, for the given values of the discriminant, we have that:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
More can be learned about quadratic functions at brainly.com/question/24737967
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