A 28 foot ladder leans up against a building and reaches the base of a window that is 20 feet high. How far is the base of the l
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The tick marks you see on the sides denote congruence. If they have the same number of tick marks, then their side length are congruent.
And, recall that congruent side lengths have the same measure.
So, look at the sides with 2 tick marks. They are congruent. Therefore:
Subtract x from both sides:
Subtract 5 from both sides:
So, x is 7.
Now, look at the sides with only 1 tick mark. Again, they are congruent. Thus:
We already know x is 7. So:
Add:
Add 4 to both sides:
So, y is 16.
Using translation concepts, the graph of f(x) is given at the end of the answer.
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
- Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
- Vertical compression by a factor of 2, due to the division by 2.
- Shift left of 4 units, as x -> x + 4.
- Shift up of 2 units, as y -> y + 2.
Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
since the coefficient of the x² term is 1 then add
( the coefficient of the x-term )² to both sides
x² + 2(- )x +
= 8 +