If you are writing in slope-intercept form:
You first find the slope.
Put the slope in the equation.
Substitute any point into the equation and find the y-intercept.
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.
$60, Because 2% of $1000 is $20, and 20 x 3 is 60.
Answer:
<em>The perimeter of the green cross is 32 cm</em>
Step-by-step explanation:
<u>Perimeter</u>
It's the sum of all the external side lengths of a given shape.
The green cross formed by two rectangles is shown in the figure below.
We have outlined the dimensions of the external sides of the resulting cross.
Note there are four corners of 2 cm by 2 cm and four sides of 4 cm each.
The total perimeter is:
8 * 2 cm + 4 * 4 cm = 16 cm + 16 cm = 32 cm
The perimeter of the green cross is 32 cm
