Factor completely and then place the factors in the proper location on the grid. x 2 - 10x + 24

Mathematics

1 answer:

dem82 [27]4 years ago

7 0

Answer:

Step-by-step explanation:

x² - 10x + 24 = (x² - 6x) + (24 - 4x) = x(x - 6) + 4(6 - x) = (x - 6)(x - 4)

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Step-by-step explanation:

In trapezoid ABCD, it is given that:

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$\therefore \: 4x = \frac{1}{2} \{(x + 5) + 44 \} \\ \\ \therefore \: 4x = \frac{1}{2} \{x + 5 + 44 \} \\ \\ \therefore \: 4x \times 2= \{x + 49\} \\ \\ \therefore \: 8x = x + 49 \\ \\ \therefore \: 8x - x = 49 \\ \\ \therefore \: 8x - x = 49 \\ \\ \therefore \:7x = 49 \\ \\ \therefore \:x = \frac{49}{7} \\ \\ \therefore \:x = 7\\ \\ \therefore \:4x = 4\times 7.. (\because EF = 4x)\\ \\ \: \: \: \: \: \huge \red{ \boxed{\therefore \:EF = 28}}$