(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
He needs one more quart. That is half of a gallon.
All you have to do basically is make up an equation of your own and then plug in the numbers inplace of the variables while still keeping the equation true.
The answer can be anything from : 8-4= 2+2
And all you had to do was simply plug in numbers to make it true. Hoped i helped!
1/6 percussion
1/3 wood winds = 2/6 (which is twice as many as percussion)
1/2 brass = 3/6 (which is three times as many as percussion)
So percussion = 3
wood winds = 6
brass = 9
all together = 3 + 6 + 9 = 18
There are three words in geometry<span> that are </span>not<span> formally defined. These three </span>undefined terms<span> are point, line and plane.</span>
