Answer:
The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4
Step-by-step explanation:
Given
Solving (a): The vertex;
Assume the general form of a function is
The vertex is determined by
By comparison, we have:
Solve for h, we have:
So, the vertex is:
The domain; x is all real numbers
From the function;
This can be rewritten as:
This implies that:
Whatever the value of is, it will be subtracted from 4 to give y or f(x);
Hence:
y is less than 4
<em>Option B answers the question</em>
Try watching this video https://www.youtube.com/watch?v=epZS4ZYbxFU
Answer:
The area is 22.5 units
The perimeter is 24.3 units
Step-by-step explanation:
The formula for the area of a triangle is A=bh(1/2)
So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.
To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.
5^2+9^2=c^2
25+81=106=c^2
Find the square root of 106
10.2956301
If your teacher usually asks to round, round.
I'll just round to the tenths place. 10.3
Add all the sides: 5+9+10.3
You get 24.3