Answer:
(4, 2) the formula for 270 rotation counterclockwise is (y,-x)
Step-by-step explanation:
One form of the equation of a vertical parabola is y = x^2, which is the same as y-0 = a(x-0)^2.
If the coefficient a is positive, the parabola opens up. If a is - the parabola opens down.
The vertex of this parabola is (0,0).
More generally, y - k = a(x - h)^2 represents a vertical parabola that opens up if a is + and opens down if a is - and has its vertex at (h,k).
Often a = 1. If a is greater than 1, the graph of the parabola is stretched vertically; if less than 1, the graph is compressed vertically (and thus appears to be flatter).
y - k = a(x - h)^2 is called the 'general vertex form' of a vertical parabola.
This is a quadratic equation. With some algebra, we could rewrite
y - k = a(x - h)^2 in the form y = ax^2 + bx + c.
x-intercepts of this parabola, if any, can be found using the quadratic formula, involving the constant coefficients a, b and c.
Answer:
This answer on 10 looks too be 75 inches
Step-by-step explanation:
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Answer:
The perimeter of the small square is approximately 9.154 units
Step-by-step explanation:
The given parameters are;
The sides of the four identical right triangles = 5·x, 12·x, and 13·x,
The perimeter of the large square = 17 units
Therefore, we have;
The hypotenuse side of the right triangles = The longest side = 13·x
The sides of the large square are formed by the hypotenuse sides of the right triangle
Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units
x = 17/52 ≈ 0.3269
x ≈ 0.3269 units
The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x
∴ The sides of the small square = 7·x = (7 × 0.3269) units ≈ 2.2885 units
The perimeter of the small square = 4 × The sides of the small square
The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units
The perimeter of the small square ≈ 9.154 units.
