Answer: x^2 + 6x + 8
Step-by-step explanation: (x+2)(x+4) = x^2 + 4x + 2x + 8
= x^2 + 6x + 8
Lara can read 10 chapters in 4 hours.
At this rate, she can read half that many chapters in half the time.
So she reads 5 chapters in 2 hours.
So Lara reads 10 chapters in 4 hours,
+ 10 chapters in 4 more hours,
+ 5 chapters in 2 more hours.
That's 25 chapters in total, and 10 hours in total, ya? :)
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
Given:
Number of males = h
Number of females = (h-2)
Total number of visitors = 80
To find:
The value of h.
Solution:
We have,
Number of males = h
Number of females = (h-2)
So, the total number of visitors is:
It is given that the total number of visitors is 80. So,
Divide both sides by 2.
Therefore, the correct option is D.
