(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:
Step-by-step explanation:
Answer:
i cant see the first few
Step-by-step explanation:
Answer: 20π/9 cm²
Step-by-step explanation:
Central angle is given as = 50°
We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.
Area of the sector = 5/36 × πr².
= 5/16 × π × 4²
= 5/36 × π × 16
= 80π/36
= 20π/9 cm²
