I had to do several calculations to get the answer.
First I calculated how many points each incorrect answer decreased:
6 questions * x = 30 points => x = 30 points / 6 questions = 5 points / question.
Then I converted it in an equation of the kind:
( ) ( ) = 5
And concluded it was 1/6 * 30 = 5
So, the numbers must be placed on either of these two forms:
( 1/6 ) ( 30) = 5, or
( 30 ) ( 1/ 6) = 5.
Of course, both of them are correct answers.
The red square means the triangle is a right triangle so you can solve for x using the Pythagorean theorem.
x = √(16.1^2 - 7.1^2)
x = √(259.21 - 50.41)
x = √208.8
x = 14.4499
Rounded to the nearest tenth x = 14.4
The zeros of the quadratic function f(x) = 2x² + 16x - 9 are given as follows:

<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:

The solutions are:


In which:

In this problem, the equation is given by:
f(x) = 2x² + 16x - 9.
The coefficients are a = 2, b = 16, c = -9, hence:

Then:


More can be learned about quadratic functions at brainly.com/question/24737967
#SPJ1
Answer:
x = 12, y = 16
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
18(2x + 6) = 540 ( divide both sides by 18 )
2x + 6 = 30 ( subtract 6 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
-------------------------------------------
and
=
, substitute values
=
( cross- multiply )
27y = 432 ( divide both sides by 27 )
y = 16