4a + 9b + 0c = 8 ⇒ 4a + 9b + 0c = 8
8a + 0b + 6c = -1 ⇒ 8a + 0b + 6c = -1
0a + 6b + 6c = -1 12a + 9b + 6c = 7
 12a + 9b + 6c = 7 ⇒ 24a + 18b + 12c = 14
4a + 9b + 0c = 8 8a + 6b + 12c = 0 ⇒ 24a + 18b + 36c = 0
8a + 0b + 6c = -1 ⇒ 8a + 0b + 6c = -1 -24c = 14
0a + 6b + 6c = -1 ⇒ 0a + 6b + 6c = -1 -24 -24
 8a + 6b + 12c = 0 c = ⁷/₁₂
 6b + 6(⁷/₁₂) = -1
 6b + 3¹/₂ = -1
 - 3¹/₂ - 3¹/₂
 6b = -4¹/₂
 6 6
 b = ³/₄
 4a + 9(³/₄) = 8
 4a + 6³/₄ = 8
 - 6³/₄ - 6³/₄
 4a = 1¹/₄
 4 4
 a = ⁵/₁₆
 (a, b, c) = (⁵/₁₆, ³/₄, ⁷/₁₂)

8 0

4 years ago

Find the midpoint of the segment with the following endpoints. (6,4) and (9,1)

olasank [31]

Answer:

$=\left(\frac{15}{2},\:\frac{5}{2}\right)$

Step-by-step explanation:

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(6,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:1\right)\\\\=\left(\frac{9+6}{2},\:\frac{1+4}{2}\right)\\\\=(\frac{15}{2} , \frac{5}{2} )\\\\$

7 0

3 years ago