What are the coordinates of the vertex f(x)=2(x+1)(x+3)

Step-by-step explanation:

There are many methods to find the vertex of a quadratic function. The method that I will show you is by using the roots of the function

In the case of this function, the roots are ..

The vertex of a function will always be directly between these roots. The number that is directly between -1 and -3 is -2. This means that the x-value of our vertex is -2.

Now that we have the x-value, we can plug this into the function in order to get our y-value.

We have found that our y-value is -2. This means that the coordinates of the vertex are

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.