Answer:
C
Step-by-step explanation:
Given 2 secants intersect a circle from a point outside the circle, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 10 + x) = 6(6 + 10 + x)
x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides
2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides
2x² + 4x - 96 = 0 ← in standard form
Divide through by 2
x² + 2x - 48 = 0 ← factor the left side
(x + 8)(x - 6) = 0
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
However x > 0 ⇒ x = 6 → C
Answer:
Percentage Profit is 63.63%
Step-by-step explanation:
The man buys 440 eggs at 55 pence a score
i.e. he buys 20 eggs for 55 pence
He buys 1 egg for 55/20 = 2.75 pence
Therefore, he buys 440 eggs for = 440 × 2.75 = 1210 pence
10% eggs are unsaleable
thus he sold = 440 - 440 × 10/100 = 440 - 44 = 396 eggs
Eggs sold in dozen = 396/12 = 33
He sold 1 dozen for = 60 pence
Thus, he sold 33 dozen for = 33 × 60 = 1980 pence
Profit = 1980 - 1210 = 770 pence
% Profit = (770/1210) × 100 = 63.63%
(hope this helps can i plz have brainlist :D hehe)
When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)
When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)
So your answer would be 7^(-1).
Hopefully my explanation was clear?
