Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer:

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Give B is the midpoint of AC, what is AC?

Savatey [412]

Answer:

$\fbox{27}$

Step-by-step explanation:

$4x+3=3x+9\\4x+3-3=3x+9-3\\4x=3x+6\\4x-3x=3x-3x+6\\x=6$

Plug in the 6 to the equations. Since B is the midpoint of AC, then both should be equal once plugged in [and solved].

$4(6)+3\\= 27\\3(6)+9\\= 27\\\\\fbox{27}$

8 0

3 years ago

What if the following choices will simplify 7-5(3)^2

rewona [7]

Answer:

-38

Step-by-step explanation:

7-5(3)^2

PEMDAS

Since there are no parentheses to execute

Exponents next

7-5(3)^2

7-5*9

Multiply and divide next

7 - 45

-38

3 0

3 years ago

PLEASE HELP!! FILL IN THE BLANK MATH QUESTION, ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER CAUSE MY GRADE DEPENDS ON IT

vagabundo [1.1K]

First blank: sin. C = h/a
The ratio for sin. is opposite (the height) over hypotenuse (a).

Second blank: Area = (1/2)b(a sin. C)
In this substitution, we are substituting the value of h into the traditional area of a triangle formula.

Third Blank: Area = (1/2)ab(sin C)
We are using the commutative property to move the position of a.
Hope this helps and good luck in your classes!

7 0

3 years ago

Read 2 more answers

It is given that in △ABC, AD ⊥ BC. Using the definition of sine with angle C in △ACD results in sin(C) = . Using the multiplicat

amid [387]

We see here in the diagram that the base is a. We know this because the height is perpendicular to it. We also know the height is bsin(C) which, when replace h for bsin(C) and a for the base, we get A=absin(C), which is the second option.