Answer: x^2 - 14x + 49
Explanation:
1) Divide the coefficient of x by 2:
14 / 2 = 7
2) so you have to add 7^2 = 49
x^2 - 14x + 49
3) that trinomial is equivalent to:
=> (x - 7)^2
4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2
(x - 7)^2 = x^2 - 14x + 49
Then you have to add 49 to complete the square. and form a perfect square trinomial.
Answer:
7x ≥ 8y
Step-by-step explanation:
The first hen laid 7 eggs per week for x weeks. 7x
The second hen laid 8 eggs per week for y weeks. 8y
The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
7x ≥ 8y
Answer:
33/4
Step-by-step explanation:
Let the first number be x, and the second number be y.
x - y = 4
x + y = -7
Solve for x in the first equation.
x - y = 4
x = 4 + y
Put x as (4 + y) in the second equation and solve for y.
4 + y + y = -7
4 + 2y = -7
2y = -7 - 4
2y = -11
y = -11/2
Put y as -11/2 in the first equation and solve for x.
x - y = 4
x - (-11/2) = 4
x + 11/2 = 4
x = 4 - 11/2
x = -3/2
Their product is:
-11/2 × -3/2
33/4
The 30:60:90 proportion is 1:sqrt 3: 2
So,
x = 10/2
x = 5
y = 10/sqrt 3
Finding the area:
1/2 * 5 * 10/sqrt 3
25/sqrt 3
Hope this helps!
Answer:
plug in 2 for x
Step-by-step explanation:
square root of 10^2 - 2^2
square root of 96
