Answer:
k = 15
Step-by-step explanation:
∵ x² - 8x + k = 0 ⇒ has two roots x1 and x2
∵ ax² + bx + c = 0 has two roots
∴ The sum of roots = -b/a and the product of them = c/a
∵ a = 1 , b = -8 and c = k
∴ x1 + x2 = -(-8)/1 = 8
∴ x1 + x2 = 8 ⇒ (1)
∵ 3x1 + 4x2 = 29 ⇒ (2)
Multiply (1) by -4
∴ -4x1 - 4x2 = -32 ⇒ (3)
Add (2) and (3)
∴ -x1 = -3
∴ x1 = 3
By substituting value of x1 in (1)
∴ 3 + x2 = 8
∴ x2 = 5
∴ The roots are 3 and 5
∴ c/a = 3 × 5 = 15 ⇒ (a = 1)
∴ c = 15
∴ k = 15
250 books in total. 15 times 10, plus the 100 on the shelves.
Answer:
The answer is C. 6.4 X 8 in
Step-by-step explanation:
If the scale factor from the original to the trimmed photo is 5:4
The statement above just means the scale of the old dimension is 5 while the scale of the new dimension is 4.
To get the new dimensions, multiply each of the old dimensions by 4/5
4/5 X 10 = 8
4/5 X 8 = 6.4
Therefore the new dimension is 6.4 X 8 in
Answer:
A
Step-by-step explanation:
SO sorry if wrong but it makes sense to me. if right ur welcome. Brainliest pls. jk i don't ask for that, that is up to you all to choose.
