Answer:
4x^2 -12x +9 ft^2
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
A = (2x-3) ^2
A = (2x-3) (2x-3)
FOIL
first 2x*2x =4x^2
outer 2x (-3) = -6x
inner -3*2x = -6x
last -3*-3 = 9
Add them together
4x^2 -6x-6x +9
Combine like terms
4x^2 -12x +9
The area is 4x^2 -12x +9 ft^2
Answer:
Step-by-step explanation:
f(x) = 4-x
g(x) = h
+k
g(f(x)) = 2-16x+26
so put f(x) in g(x)
h
+k
h((4-x)(4-x) + k
h(-8x+16)+k
if h = 2 , then
2-16x+32 + k
and we want 26 instead of 32 so subtract 6 so K = (-6)
2-16x+32 + (-6)
2-16x+32 - 6
2-16x+26
h=2
k=(-6)
Answer:
{2, 3, √13}
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides equals the square of the third side (Pythagoras).
Let's check each set of sides in turn.
A. {2, 3, √13}
2² + 3² = 4 + 9 = 13
(√13)² = 13
This is a right triangle.
B. {5, 5, 2, √10}
This is a quadrilateral (four sides).
C. {5, 12, 15}
5² + 12² = 25 +144 = 169
15² = 225
This is not a right triangle.
You can solve this by substitution:
x + y = -6
y = -6-x
Substitute for y in xy = -7:-
x(-6 - x) = -7
-x^2 - 6x = -7
x^2 + 6x - 7 = 0
(x + 7)(x - 1) = 0
so x = -7, 1
To find the values of y plug these va;ues of x into the equation x + y = -6:-
when x = -7, y = -6 + 7 = 1
when x = 1, y = -6 - 1 = -7
so answer is x = -7 and y = 1
and x = 1 and y = -7
