<span>(2x + 1)(x + 3) = 2x^2 + 6x + x + 3 = 2x^2 + 7x + 3 A.</span>
Answer:
71, 72, 73, 74 . for details, check below
Step-by-step explanation:
a) Let's assume that among the four consecutive numbers, the first one is x,
so, the four consecutive numbers should be:
- x
- x+1
- x+2
- x+3.
According to the question,
(x) + (x + 1) + (x + 2) + (x + 3) = 290
<h2>
b)</h2>
(x) + (x + 1) + (x + 2) + (x + 3) = 290
4x + 6 = 290
4x = 284
x = 284÷ 4
x = 71.
So, the numbers are,
71, 72, 73, 74
Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.
Step-by-step explanation:
The formula for calculate the area of a square is:
Where "s" is the lenght of any side of the square.
The formula for calculate the perimeter of a square is:
Where "s" is the lenght of any side of the square.
We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula and find its value:
Substituting the value of "s" into the formula , we get that the perimeter of the photo is:
Therefore, since Alicia has 32 inches of trim and 
, we can conclude that she will have enough trim for all four sides of the square.
The ball is at a height of 14 feet after 1.17 and 0.64 seconds.
This is an example of a quadratic equation. Write out the equation with 14 in the place of the height. Then, set it equal to zero.
14 = 2 + 29t - 16t^2
0 = -16t^2 + 29t -12
Now, we can use the quadratic equation to solve.
A = -16
B = 29
C = -12
You will get the solutions of 1.17 and 0.64.
