Answer:
22
Step-by-step explanation:
418 divided by 19 is 22.
Answer:
x = 437.3 ft
Step-by-step explanation:
The angle at the top of the triangle = 90° - 29° = 61°
Using the sine ratio in the right triangle
sin61° =
= 
Multiply both sides by 500
500 × sin61° = x, hence
x ≈ 437.3
The opposite of the number -2 1/3 is 2 1/3 because if you look at a number line you will see that -2 1/3 and 2 1/3 are on opposite sides of the line
Answer:A
Step-by-step explanation:
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: