Answer:
[Vertex form]
Step-by-step explanation:
Given function:
We need to find the vertex form which is.,
where 
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.
Isolating 
and 
terms on one side.
Subtracting both sides by 15.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term = 
Adding 36 to both sides.
Since 
is a perfect square of 
, so, we can write as:
Subtracting 21 to both sides:
Dividing both sides by -3.
[Vertex form]
For number 5 you are just multiplying by 4.5
Answer:
0
Step-by-step explanation:
Answer:
m=0
Step-by-step explanation:
Answer:
The height of the wall is 9.17ft
Step-by-step explanation:
The length of the ladder is 10ft
Distance from the foot of the ladder to the wall is 4ft
The height of ladder is unknown.
To solve this question, you'll require a pictorial illustration of the situation. Kindly check attached document for that.
Since it's a right angle triangle, we have two sides with one sides unknown, we can use pythagorean theorem to find the third side.
The hypothenus (x) is 10ft
The adjacent is (y) 4 ft
The opposite (z) (height of the wall) is unknown.
X² = Y² + Z²
10² = 4² + Z²
100 = 16 + Z²
Z² = 100 - 16
Z² = 84
Z = √(84)
Z = 9.165 = 9.17ft
The height of the wall is 9.17ft
