(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:(Fog)(-6)=29
Step-by-step explanation:
(fog)=-3(2x+2)-1
=-6x-6-1
=-6x-7
(fog)(-6)= -6(-6)-7
=36-7
=29
Answer:
<em>We </em><em>know </em><em>that </em><em>the </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite</em><em> </em><em>interior </em><em>angle. </em>
Step-by-step explanation:
So
25x + 57 + x = 45x
26x + 57 = 45x
57 = 45x - 26x
19x = 57
Therefore x = 3
Hope it will help you
Peter's meal costed $8.11 in total. Hope this helps :D
Answer:
200 square cm ooooooooooooooooooo
