Answer:
7,11
Step-by-step explanation:
The width is x. x+4= the length. The area is side times side, so it’s
x × (x+4) = 77
We can simplify this to:
x × x + x × 4 = 77
x^2 + 4x = 77
x^2 + 4x - 77 = 0 This is a quadratic equation. So we can solve using the quadratic formula:
x = 
->
That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11
Answer:
1/12
Step-by-step explanation:
In a bag, there are 3 red marbles, 5 white marbles, and 2 blue marbles. One marble is selected and then it is not replaced. Find the probability of selecting a white marble 3 times in a row.
The total number of marbles in the bag is given as:
3 red + 5 white + 2 blue
= 10 marbles
The probability of selecting a white marble 3 times in a row without replacement is calculated as:
5/10 × 4/9 × 3/8
= 60/720
= 1/12
x² - x + 4x - 4 → D
Expand using the FOIL method
F → multiply First terms → x and x = x²
O → multiply the Outer terms → - 1 and x = - x
I → multiply the Inner terms → 4 and x = 4x
L → multiply the last terms → 4 and - 1 = - 4
(x + 4)(x - 1) = x² - x + 4x - 4
