Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
9514 1404 393
Answer:
15. f(x) +g(x) = 7x +2
16. f(x) -g(x) = -3x +8
17. h(x) · g(x) = 35x -21
Step-by-step explanation:
Substitute the function definition for each function expression and simplify.
__
15. f(x) + g(x) = (2x +5) +(5x -3)
f(x) +g(x) = 7x +2
__
16. f(x) - g(x) = (2x +5) -(5x -3)
f(x) -g(x) = -3x +8
__
17. h(x) · g(x) = (7) · (5x -3)
h(x) · g(x) = 35x -21
Answer:
yes, 2 gallons
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x = the number of all the species of birds sighted in the park
“300 species of birds that migrate. This accounts for 2/7 of all the species of birds sighted in the park”
the above sentence means “(2/7)x = 300”
now we can solve it :
(2/7)x = 300
⇔ 2x = 7×300
⇔ 2x = 2100
⇔ x = 2100/2
⇔ x = 1050
