The answer is C. I need a total of 20 characters so heres a smiley face:)
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
The correct answer is B. -2/3 that is the slope
Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
Divide the number that islf can divide by like 2 or 3 or 4 for exaples
