The hanger image below represents a balanced equation.
1 answer:
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Answer:
Step-by-step explanation:
Notice that the red graph is the blue graph shifted 1 units up.
According to the function transformation rules, we add to the output of the function to shift its graph
units up, and we subtract
to the output of the function to shift its graph
units down.
The output of our function is , and since we want to shift 1 units up,
. In other words, we just need to add 1 to the output of the function:
We can conclude that the equation of the red graph is .
For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:
Substituting we have:
We divide between 2 on both sides:
We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.
We have two roots:
We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.