The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6

y - 6

Step-by-step explanation:

Given

y² - 10y + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus

y² - 10y + 24 = (y - 4)(y - 6)

Thus the other factor is (y - 6)

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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