First step to factor the trinomial, multiply the constant -28 with the leading coefficient 6.
So, -28 * 6 = - 168.
Next step is to breakdown -168 into two multiples so that their addition will result the coefficient of w= - 13.
So, -168 = -21 * 8.
And addition of - 21 and 8 will give - 13.
So, next step is to replace -13x with -21x + 8. Therefore,
6x² - 21x + 8x - 28 =0
(6x² - 21x) + (8x - 28 )=0 Make the group of two terms.
3x (2x - 7) + 4 (2x - 7) = 0 Take out the common factor from each group.
(2x - 7)(3x + 4) = 0 Again take out the common factor (2x -7).
So, 2x - 7 =0, 3x + 4 = 0 Set both the factor equal to 0.
2x = 7 , 3x = -4
So, 
Hope this helps you !
4/29 is the probability that a student who did not complete the homework passed the test.
<u>Step-by-step explanation:</u>
It is given that,
There are 29 students in a math class.
Two types of students who passed the test and are not passed the test.
The other two types of students are who completed the assignment and did not complete the assignment.
So, the given data can be formed as a table.
- There were 22 students who passed the test.
- There were 20 students who completed the assignment.
- There were 18 students who passed the test and also completed the assignment.
Passed the test Not passed the test Total
Completed assignment 18 - 20
Not completed assignment x - -
Total 22 - 29
Now, you need to find the probability that a student who did not complete the homework passed the test.
⇒ No.of students completed assignment passed the test / Total students.
<u>To find the no.of students completed assignment passed the test :</u>
Let 'x' is the no.of students completed assignment passed the test.
⇒ 18+x = 22
⇒ x = 22 - 18
⇒ x = 4
∴ P(students completed assignment passed the test) = 4 / 29.
The angle measure would be 53°.
Complementary angles add up to 90° so, if you're trying to find the other angle measure just subtract the angle measurement that you already know from 90.
90 - 37 = 53
Hope this helps! :)<span />
Answer: 504 in^2
Step-by-step explanation:
All you have to do is multiply all the numbers together.
