The length of each side of the tiles is 7.2 in
<u>Explanation:</u>
Given:
Height of the tile, h = 3 in
Area of each tile, A = 21.6 in²
Length of each side, a = ?
We know:
A rhombus is a type of quadrilateral whose opposite sides are parallel and equal.Also, the opposite angles of a rhombus are equal and the diagonal intersect each other perpendicularly.
To find the area of a rhombus when the measures of its height and side length are given, use the formula
A = Base X height
21.6 in² = a X 3 in
a = 7.2 in
Therefore, the length of each side of the tiles is 7.2 in
Complete the square:
f(t) = t² + 12t - 18, f(t) = (t² +12t) -18.
Complete the square of t² +12t ↔ t² + 12t + 36 -36 = (t+6)² -36, ten:
f(t) = t² + 12t - 18 = (t+6)² -36 - 18 ↔f(t) = (t + 6)² - 54
f(t) = y = t + 6)² - 54 or ↔ y+54 = (t+6)²
(y+54) = (t+6)² is the standard form of a parabola. [(y-k) = a(x-h)²]
The vertex is (-54,-6) and since a is positive, te parabola opens upward with a minimum (-54,-6)
For the axis of symmetry, let's take again the initial form y= t²+12t-18.
(ax²+bx+c). The axis of symmetry is - b/2a = (-12)/2 = -6.
Then the axis of symmetry is x= -6
Using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).
<em><u>Recall:</u></em>
- Given the slope (m) of a line, we can write an equation in point-slope form of the line can be written if we know one of the points as, , where is a point on the line and m = slope.
From the question given, the slope gotten from part B is missing in this question. However, let's assume the slope (m) = 3.
Using one of the points, say (a, b), to write a general equation in point slope form, substitute = (a, b) and m = 3 into .
Thus:
Therefore, using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).
Learn more about point-slope form on:
brainly.com/question/14105985
there are 17 kids and 12 adults 17x8=136 12x12= 144 136+144=280