A 4m ladder rest against a vertical wall with its foot 2m from the wall.How far up the wall does the ladder reach?
1 answer:
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Answer:
C) The parabola is narrower and reflected across the x-axis.
Step-by-step explanation:
The original parabola has equation:
The transformed parabola has equation
How wide the graph is can be determined by the absolute value of the coefficient.
The smaller the absolute value of the coefficient, the wider the graph.
Since
The original graph is wider than the transformed graph.
Also the negative factor tells us there is a reflection in the x-axis.
Answer:
c = 5√5
Step-by-step explanation:
When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"
First, let's understand the basic terms we use to describe the sides of a triangle:
we can call one leg "a", the other leg "b" and the slanted side "c"
("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)
the pythagorean theorem:
a² + b² = c²
here, our "a" is 5, our "b" is 10 {and we don't know what c is}
let's try plugging these values into our formula:
a² + b² = c²
5² + 10² = c²
25 + 100 = c²
125 = c²
now, we know what c² is--but we want to know c,
so we must take the square root of both sides
√125 = √c²
√125 = c
now, while √125 <em>is </em>our answer, we can simplify further!
this is because 125 can be made up of 5 · 25
so,
and
we can take out the square root of 25 (5):
we write this as such:
so, in simplest radical form, c = 5√5
(√125)
hope this helps!! have a lovely day :)