Answer:
<h2>
n = <u>
-3</u></h2>
Step-by-step explanation:
First step of a synthetic divison is that we need to carry down the leading coefficient. Here the leading coefficient is 2. So, carry down 2 at the bottom.
Next step is to multiply the divisor -3 with this carry down number 2. So, we have got 3*(-2)= -6 which will place atthe bottom of the next coefficient 4.
Next step is to add this column.
Now repeat the same method again till the last colum.
At the end we have got 0 after the addition. Which means the remainder is 0.
So, the quotient is 2x^2-2x+2.
PLEASE HELP! In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR. Submit the entire proof to your instructor.
Given:
RS ⊥ ST
RS ⊥ SQ
∠STR ≅ ∠SQR
Prove:
△RST ≅ △RSQ
The summary of the ruler placement postulate is given as:
- there is a one-to-one correspondence between the set of points on the line and the set of real numbers, and.
- the distance between two points equals the absolute value of the difference between the corresponding numbers.
<h3>What is the ruler placement postulate?</h3>
This states that the points of a line can be matched and correspond to a set of points on the line and the set of real numbers,
Therefore, based on the fact that your question is incomplete, a general overview of the ruler placement postulate is given to give you a better understanding of the concept.
Read more about the ruler placement postulate here:
brainly.com/question/25097538
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Answer: he collected 22 quarters and 8 fifty-cent pieces
Step-by-step explanation:
Given;
The total amount of money he is to collect is;
A = 20 - 10.50 = $9.50
Let x represent the number of quarter he collected.
Then the number of fifty-cent pieces he collected will be; 30-x
Therefore we can represent it with the equation below;
0.25x + 0.50(30-x) = 9.50
0.25x + 15 - 0.50x = 9.50
0.25x = 15-9.50
x = (15-9.50)/0.25
x = 5.50/0.25
x = 22
The number of fifty-cent is equal to;
30-x = 30-22 = 8
Therefore, he collected 22 quarters and 8 fifty-cent pieces
