axis of symmetry:
vertex:
Answer:
Axis of symmetry: –3
Vertex: (–3, –5)
Step-by-step explanation:
For a quadratic function in standard form, the axis of symmetry is a vertical line . Therefore:
For the vertex, –3 is the x-coordinate and we solve for y to find the y-coordinate:
y = 2x² + 12x + 13
y = 2(–3)² + 12(–3) + 13
y = 2(9) + 12(–3) + 13
y = 18 – 36 + 13
y = –5
Therefore, the vertex is (–3, –5).
Straight
Acute
Obtuse
Right
Answer: obtuse
Step-by-step explanation:
17 units to the left of -6 on a number line is - 6 - 17 which equals to - 23.
A number line is exactly what it sounds like a horizontal, straight line with numbers spaced evenly apart throughout its length. Since it's not a ruler, the distance between each number is irrelevant; instead, the numbers on the line specify how they should be used.
The given statement 17 units to the left of - 6 on a number line can be interpreted as,
We we'll start at - 6 on the number line, Now we know moving to the left horizontal direction in a number line results in subtraction.
Therefore, 17 units to the left of - 6 on a number line is,
= - 6 - 17.
= - 23 units from the origin which should be labeled at zero.
learn more about number line here :
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Answer:
-23
Step-by-step explanation:
-6-17=-23
Write each sum as a product. Identify the factors in the product a. 18 + 63
b. 84 + 35