(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer: No
Step-by-step explanation: To determine whether 5/3 is rational or irrational, it's important to understand that all fractions positive or negative are rational numbers.
So 5/3 is not an irrational number, it's rational.
Answer:
30
Step-by-step explanation:
for every 1 fluid once it is 0.125 cup. So keep adding up and you will get to 240 and the amount will be 30.
Answer:
0.4(−0.45)=9.2
2(−0.45)5=9.2
Step-by-step explanation:
=23.45
The 8 percent commission must be at least $1000.
8% = $1000
1% = $125
100% = $12500
Hence, Jim needs to sell $12500 dollars worth of widgets.
