Answer:
B
Step-by-step explanation:
4x²/2 √x^4/4x²
2x²√x²/4 ( equal to C)
4x²/2(x²/2x)
2x²(x²/2x)=
2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3
Answer:
Step-by-step explanation:
Area = 192 m²
Perimeter= 56 m
Width = x m
Perimeter = 56
2*(length + width) = 56
Divide the equation by 2
l + x = 56/2
l + x = 28
l = 28 - x
Area = 192 m²
l * w = 192
(28 - x)*x = 192
28x - x*x = 192
0 = 192 - 28x + x²
x² - 28x + 192 = 0
2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.
3) The roots represent the width and length of the rectangle.
x² - 28x +192 = 0
Sum = -28
Product =192
Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}
x² - 28x + 192 = 0
x² - 12x - 16x + (-16)*(-12) = 0
x(x -12) - 16(x - 12) = 0
(x - 12)(x -16) =0
x -12 = 0 ; x - 16 = 0
x = 12 ; x = 16
x = 12 ,16
4) Sum of the roots = 12 + 16 = 28
Sum of the roots = half of the perimeter
5) Product of the roots = 12*16 = 192 = area of the rectangle.
11) x-intercept: 12
y-intercept: 8
12) x-intercept: -18
y-intercept:-16
13) x-intercept: 6
y-intercept:10
Sorry I can't graph it for you but here are the equations in the slope-intercept form
11)y=-2/3x+8
12)y=-8/9x-16
13)y=-5/3x+10
The base is 5 because 4×5 is 20
1. Answer is x = 1
Explanation: Rearrange terms
-22 + 8c = 28x - 42
Add 22 to both sides of the equation
8x - 22 = 28x - 42
8x - 22 + 22 = 28x - 42 + 22
Simplify
8x = 28x - 20
Subtract 28x from both sides of the equation
8x = 28x - 20
8x - 28x = 28x - 20 - 28x
Simplify
-20x = -20
Divide both sides of the equation by the same term
-20x/-20 = -20/-20
2. Answer is x = -8
Rearrange terms
-11x - 2 = 6 - 10x
-11x - 2 = -10x + 6
Add 2 to both sides of the equation
-11x - 2 = -10x + 6
-11x - 2 + 2 = -10x + 6 + 2
Simplify
-11x = -10x + 8
Add 10x to both sides of the equation
-11x = -10x + 8
-11x + 10x = -10x + 8 + 10x
Simplify
-x = 8
Divide both sides of the equation
-x = 8
-x/-1 = 8/-1
Simplify
x = -8
3. Answer is x = 7
Rearrange terms
4x + 8 = -13 + 7x
Subtract 8 from both sides of the equation
4x + 8 - 8 = 7x - 13 - 8
Simplify
4x = 7x - 21
Subtract 7x from both sides of the equation
4x = 7x - 21
4x - 7x = 7x - 21 - 7x
Simplify
-3x = -21
Divide from both sides
-3x = -21
-3x/-3 = -21/-3
answer is x = 7
4. Answer is x = -15
Subtract 8 from both sides
2x + 8 = x - 7
2x + 8 - 8 = x - 7 -8
Simplify
2x = x - 15
Subtract x from both sides of the equation
2x = x - 15
2x - x = x- 15 - x
Simplify
x = -15
Tried to be detailed lol hope this helps!
