Answer:
Step-by-step explanation:
The median is the average of the lengths of the two bases:
5x -20 = (12 + (4x -10))/2
5x -20 = 2x +1
3x = 21 . . . . . add 20-2x
x = 7
Then the lengths are ...
median = 5x -20 = 5·7 -20 = 15
base = 4x -10 = 4·7 -10 = 18
Answer:
$140.41
Step-by-step explanation:
250 * 1.3687 = 3412.175 Euros.
- 150 Euros = 192.175
192.175 1.3687 = $140.41
35.4 expressed as a decimal is
B. 0.354
Answer:
<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>
Step-by-step explanation:
Given:
10x² - y = 48 ⇒(1)
2y = 16x² + 48 ⇒(2)
From eq.(1) ⇒ y = 10x² - 48 ⇒(3)
By substitution with y from eq.(3) at eq.(2)
∴ 2(10x² - 48) = 16x² + 48
Solve for x
∴ 20x² - 96 = 16x² + 48
∴ 20x² - 16x² = 48 + 96
∴ 4x² = 144
∴ x² = 144/4 = 36
∴ x = ±√36 = ±6
By substitution with x at eq.(3)
when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312
when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312
<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>
