Answer:
Step 3: The measure of angle DAB is 60°. Reason: Since DAE is a right angle, and EAB is 30 degrees, 90 - 30 is 60. (Just find the reason that is related to this statement).
Step 4: The measure of angle ABC is 130°. Reason: Same-side Interior Angles Theorem
Step-by-step explanation:
Answer:
(3a + 2b)3
Step-by-step explanation:
STEP
1 :
Equation at the end of step 1
(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3
Step 2:
(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3
Step 3:
(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3
Step 4:
((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3
Step 5:
Factoring: 27a3+54a2b+36ab2+8b3
Answer:
Step-by-step explanation:
x² + 6x + 9 = 12 → x² + 6x - 3
Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:
√48 = √[3 × 16] = 4√3
½[4√3] = 2√3
Then attach half of -6 to it as well [-3]:
-3 ± 2√3
I am joyous to assist you anytime.
Step-by-step explanation:
Replace x and y.
Solve for y.
Square both sides.
This is the inverse function or you can also say
Answer:
60 ; - 40 ; 22 ; - 11
Step-by-step explanation:
Given that:
Number of questions = 20
Rules :
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a)
Maximum score : answering all questions correctly :
(3 points * 20 questions)
= 3 * 20
= 60 points
b)
Minimum score is obtainable by answering all questions incorrectly ;
(-2 points * 20)
= - 40 points
c)
10 correct answers = (3 * 10) = 30 points
(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points
Net total = 30 + (-8) = 30 - 8 = 22 points
d) Another student answers 18 questions,
5 are correct. How many points does she score?
5 correct answers = (5 * 3) = 15 points
(18 - 5) incorrect answers = (13 * - 2) = - 26 points
Net total = 15 + (-26) = - 11 points
