The standard equation is: y = (-2)x² + 8x + 5
<h3>What is Quadratic Equation?</h3>
A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0, with a ≠ 0 .
We know,
y = ax² + bx + c
For (-1, -5)
-5 = a - b + c..................(1)
For (0, 5)
5 = c
For (1, 11)
11 = a + b + c.....................(2)
From (1) and (2), we get
a=-2
and b= 8
Hence, the standard equation is:
y = (-2)x² + 8x + 5
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Answer:
see explanation
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle
-------------------------------------------
(14)
∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then
∠ 1 = 180° - 58° = 122°
∠ 2 + ∠ 3 = ∠ 4
∠ 2 + 32° = 58° ( subtract 32° from both sides )
∠ 2 = 26°
∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°
∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°
(15)
∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°
∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°
∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°
∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°
Use the equation:
Y=369-(145x)
Answer:
314.2 cm^2
Step-by-step explanation:
The formula for the area of a circle of radius r is A = 3.14r^2.
With r = 10 cm, r^2 = 100 cm^2, and so the area of this circle is 314.2 cm^2, to the nearest tenth.