Factor the expression. x2 + 7x+ 10
1 answer:
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Answer:
f(x) = > f(x) = -0.5x² > f(x) = x²
Step-by-step explanation:
In a quadratic function leading coefficient decides the width of a graph.
In simpler words, leading coefficient decides the vertical stretch of the graph.
Higher the value of leading coefficient, higher the vertical stretch.
When a graph is vertically stretched it becomes narrower.
(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)
Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = will be the widest.
So the descending order will be,
f(x) = > f(x) = -0.5x² > f(x) = x²
Answer:
- 25m
Explanation:
The first figure attached is the sketch of the property mentioned on the question, where all the lengths listed are in meters.
The second figure attached identifies a right triangle whose hypotenuse, c, is the smallest length that the clothesline can measure; and the legs measure 20m, and 20m - 10m = 15m.
Now, you can use the Pythagorean theorem to find the smallest length of the clothesline:
