Answer:
2^1 + 3^1, 2^3 - 2^1 and 3^2.
Step-by-step explanation:
3^2 = 9.
2^3 - 2^1 = 8 - 2 = 6.
2^1 + 3^1 = 4.
Answer:
x = 8 or
x = -2
Step-by-step explanation:
<h2><em>Completing The Square</em><em>:</em></h2>
x² - 6x - 16 = 0
Here,
a = 1
b = -6
c = -16
Now,
x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0
x² - 6x + (6/2)² - (6/2)² - 16 = 0
x² - 6x + (3)² - (3)² - 16 = 0
(x - 3)² - 9 - 16 = 0
(x - 3)² - 25 = 0
(x - 3)² = 25
x - 3 = +-√25
x - 3 = +- 5
x = 3 +- 5
x = 3 + 5 or x = 3 - 5
<em><u>x = 8 or x = -2</u></em>
Hope it's helpful
Answer:
28.28
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
d² = 20² + 20² ← Pythagoras' identity
= 400 + 400 = 800 ( take the square root of both sides )
d = ≈ 28.28 ( to 2 dec. places )
Using given information we have to fill the blank spaces for respective parts:
<u>Part(A): Original ratio of saved to total money per paycheck </u>
Answer:
Explanation: Original payment was 200 and saving amount is 1 tenth which is 200*(1/10)=20. Hence ratio is 20/200
<u>Part(B): Final ratio of saved to total money per </u>paycheck___________________
Answer:
Explanation: He also saved money more than 200 represented by x so the new ratio becomes (x+20)/(x+200)
<u>Part(C): Final amount saved per </u>paycheck______________________________
Answer: x+20
Explanation: Final saving is just 20 and extra money over 200 so final saving is (x+20).
Answer:
This tree has one line of symmetry.