Answer:
B)
Step-by-step explanation:
Given function:
We need to find the equivalent function.
By looking at the choices, we know that we have to convert the given function into its vertex form.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
Since its already 1, so we move ahead to next term.
Isolating and terms on one side.
Subtracting both sides by 10.
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 9 to both sides.
Since is a perfect square of , so, we can write as:
Adding 1 to both sides:
[Vertex form]
∴ Equivalent function
Answer:
f(-3)=56
Step-by-step explanation:
When evaluating a specific input for a function, you just plug that input in for x.
So in this case, f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(9)+6+5
f(-3)=45+6+5
f(-3)=56
Statements Reasons
1. M lies on AB Given
2. AM+MB=AB Definition of midpoint
3. 2x+2+4x-4 = 16 Segment Addition Postulate
4. 6x-2 = 16 Combining like terms
5. 6x = 18 Addition Property of equality
6. x = 3 Division Property of equality
7. AM=2(3)+2 and MB=4(3)-4 Substitution property of equality
8. AM=8 and MB=8 Definition of midpoint
9. M is a midpoint Hence, proved.
Answer:
The actual length of Salamander Trail is 28 miles
Step-by-step explanation:
Here, we want to calculate the actual length of salamander trail.
From the question, we are told that a a distance of 3cm on the map B is 24 miles in the park
So now, we have length of 3.5 cm and we want to calculate what is the actual length in miles
From the question on map B;
3 cm = 24 miles
so
3.5 cm = x miles
x * 3 = 24 * 3.5
x = (24 * 3.5)/3
x = 8 * 3.5 = 28 miles