Given that the graph of the quadratic function.
We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.
<u>Vertex:</u>
The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.
Hence, from the figure, the parabola turns at the point (0,-2) to form a U - shaped graph.
Therefore, the vertex of the graph is (0,-2)
<u>Minimum or maximum value:</u>
When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.
Thus, the graph has a minimum value.
Hence, the vertex of the graph is (0,-2); minimum value.
Therefore, Option A is the correct answer.
The slope of each line is the same.
Answer: 5.1 miles = 26928 feet
Step-by-step explanation:
1 mile = 5280 feet
0.1 miles = 528
times that by 5
5 miles = 26400 feet
add
26928 feet
Answer:
(∠C) ≅ (∠B)
∴ tan(∠B) = tan(∠C) and
Slope AB = Slope BC
Step-by-step explanation:
Part A:
To explain why the slope from point from A to B is the same with the slope from B to C with similar triangles we have;
The angle between segment AB and the vertical is the same as the angle between segment BC and the vertical - (corresponding angles)
The angle between segment AB and the horizontal is the same as the angle between segment BC and the horizontal - (corresponding angles)
The length of a segment opposite to the angle between segment AB and the horizontal is the as the length of a segment opposite to the angle between segment BC and the horizontal
Therefore, the triangle formed by A, B and the point of intersection of the vertical line from A with the horizontal line from B is congruent to the triangle formed by B, C and the point of intersection of the vertical line from B with the horizontal line from C
Which gives the angle with the horizontal at C (∠C) is congruent to the angle with horizontal B (∠B)
The slope AB = tan(∠B)
Slope BC = tan(∠C)
(∠C) ≅ (∠B)
Therefore, tan(∠B) = tan(∠C) and slope AB = Slope BC.
Answer: B= 12 15
Step-by-step explanation:
The given ratios are
A) 2 3= 2: 3 already in its simplest form
B) 12 15 =12:15 Changing to its simplest form, we divide both by 3 giving us 4:5
C) 18 27 =18: 27 Changing to its simplest form, we divide both numbers by 9 giving us =2:3
D)6 9=6:9 Changing to its simplest form, we divide both by 3 giving us
2:3
Therefore the ratio not equivalent to other three is 12:15
