Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
Answer:
-18
Step-by-step explanation:
Answer:
w+14,
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplify
6 + -3x = 5x + -10x + 8
terms:
6 + -3x = 8 + 5x + -10x
Combining like terms: 5x + -10x = -5x
6 + -3x = 8 + -5x
Solving
6 + -3x = 8 + -5x
Move all terms containing x to the left, all other terms to the right. (Remember)
Add '5x' to each side of the equation.
6 + -3x + 5x = 8 + -5x + 5x
Combine the like terms -3x + 5x = 2x
6 + 2x = 8 + -5x + 5x
Combine the like terms again -5x + 5x = 0
6 + 2x = 8 + 0
6 + 2x = 8
Then '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6
Combine the like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6
Combine the like terms: 8 + -6 = 2
2x = 2
Then divide each side by '2'.
x = 1
Simplifying
x = 1
