Given the next quadratic function:
to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:
where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:
The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:
The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
Answer:
The correct answer AC = 11.52
Step-by-step explanation:
From the figure attached with this answer shows the triangle ABC.
BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees
To find AC
From the figure we can see that D is the mid point and AD⊥BC
Then BD = CD = 4/2 = 2 cm
<BAD = 10° and <CAD = 10°
By using trigonometric ratio,
sin 10 = CD/AC = 2/AC
AC = 2/sin 10 = 2/0.1736 = 11.52
Therefore the value of AC = 11.52 cm
Answer: a coordinate plane is used in order to track the location of the object.
Translations are congruence transformations that move an object, without changing its size or shape
Dilations are transformations that generate an enlargement
Step-by-step explanation:
40 kph is equal to abt 11 mps so that means 40kph is faster
