Answer:
C) {6+√43, 6-√43}
Step-by-step explanation:
Applying,
x = [-b±√(b²-4ac)]/2a.................... Equation 1
From the question,
Given: a = 1, b = -12, c = 7
Substitute these values into equation 1
x = [-(-12)±√(-12²+4×1×7)]/2×1
x = [12±√(144+28)]/2
x = [12±√172]/2
either,
x = (12-√172)/2
x = (12-2√43)2
x = (6+√43)
or
x = (12+√172)/2
x = (12+2√43)/2
x = (6+√43)
Hence,
The right answer is C). {6+√43, 6-√43}
Answer:
x = 66°
Step-by-step explanation:
unmarked angle = x because it is an isosceles triangle.
The sum of all three interior angles of any triangle = 180°
So:
2x + 58° = 180°
2x = 122°
x = 66°
Answer:
• It is possible to divide the seventh graders into teams of equal sizes.
,
• 13 students should be on each team.
Explanation:
The seventh grade of Wilson consists of three classes; one with 28 students, one with 29, and one with 34. Therefore, the total number of students in seventh grade is:

He wants each team to have between 4 and 8 students.

Therefore:
• It is possible to divide the seventh graders into teams of equal sizes.
,
• 13 students should be on each team.
Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)