Answer:
x = 13
Step-by-step explanation:
ΔRST≈ΔYSZ
therefore:
RT/ST = YZ/SZ
(3x-7)/40 = (2x+2)/35
cross-multiply:
40(2x+2) = 35(3x-7)
80x+80 = 105x-245
80 = 25x-245
325 = 25x
325/25 = x
x = 13
-12x² + 11x - 3 = 0
x = <u>-(11) +/- √((11)² - 4(-12)(-3))</u>
2(-12)
x = <u>-11 +/- √(121 - 144)</u>
-24
x = <u>-11 +/- √(-23)
</u> -24
x = <u>-11 +/- i√(23)</u>
-24
x = <u>-11 + i√(23</u>) x = <u>-11 - i√(23)</u>
-24 -24
x = ¹¹/₂₄ - 0.0416√(23) x = ¹¹/₂₄ + 0.0416√(23)
<u />
Well, you distribute the 8 to both terms since it is being multiplied.
8 * y = 8y
8 * 3 = 24
so the ending equation should be 8y + 24