Answer:
1. 1.25
2. 0.8
Step-by-step explanation:
1. 2 : 2.5 = 1.25 Ratio from P To Q - 1 : 1.25
2. 2.5 : 2 = 0.8 Ratio from Q to P - 1 : 0.8
1. All you have to do is find the corresponding sides(meaning similar) and the compare them from one to another.
Example:
I know 5 and 4 are corresponding sides because they are similar. The ratio is Q to P we can find by writing them down. It can be written like this.
5:4 is so when we multiply this ratio from any side of Q we will get the correpoding side from P.
5:4 ratio = 1 : 0.8 - So the ratio is 0.8
There this is another ratio that we can compare to.
Now let’s say we need to find when the one of the P side is 4 and what would be the corresponding side.
4 x 1.25(ratio from P to Q) = 5
We can also find when the P side is 3 what would be Q’s corresponding side. Which is the ratio from P to Q or 1.25.
So just multiply 3 by 1.25.
3 x 1.25 = 3.75
3.75 x 0.8 = 3
You divide 5 by 8 it’s really easy
Answer:
49
Step-by-step explanation:
180-131
The function in vertex form is 
⇒ 3rd answer
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- a is the coefficient of x²
- (h , k) are the coordinates of the vertex point
, wher b is the coefficient of x- k = f(h), that means value f(x) when x = h
∵ f(x) = x² + x + 1
∴ a = 1 , b = 1
∵
- Substitute the values of a and b to find h
∴ 
∴ 
Substitute the value of x in f(x) by the value of h to find k
∵ f( 
) = 
∴ f( ) = 
∴ f( ) = 
- k is the value of f(x) when x = h
∵ h =
∴ k = f( )
∴ k =
Substitute the values of a, h and k in the vertex form
∵ f(x) = a(x - h)² + k
∵ a = 1 , , 
∴ 
∴
The function in vertex form is
Learn more:
You can learn more about the quadratic functions in brainly.com/question/9390381
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