Answer:
64
Step-by-step explanation:
the absolute value is how many numbers it is from zero and will always be positive
We have to find the value of x from the given equation.
- (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.
Step: Write the equation in simplest form.
Step: Solve the problem by spiltting method.
- (x-2)(x² - x -x + 1) = 0
- (x - 2)(x²-x - x + 1) = 0
- (x - 2) [x(x - 1) -1(x -1)]
- (x - 2)[(x-1)(x-1)]
Step: Solve the problem with using algebraic formula.
{x-1](x-1)
Step : We have used a²-b² to solve the problem.
(x-2)(x² - x -x + 1) = 0
(x - 2)(x²-x - x + 1) = 0
(x - 2) [x(x - 1) -1(x -1)]
(x - 2)[(x-1)(x-1)]
Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].
Mike has 78 feet of fencing available for his garden, this is the perimeter (P) of the rectangle:
Perimeter: P=78 feet
The formula of Perimeter is:
P=2(W+L), where W is the width and L is the length, then:
P=78→2(W+L)=78
Dividing both sides of the equation by 2:
2(W+L)/2=78/2
W+L=39
If the shape is of a golden rectangle, we know:
L=1.6W
Replacing this above:
W+1.6W=39
Adding similar terms:
2.6W=39
Solving for W
2.6W/2.6=39/2.6
W=15 feet
L=1.6W=1.6(15)→L=24 feet
Answer: T<span>he dimensions of the garden are: Width=15 feet and Length=24 feet. </span>
Answer:
√113 is
Step-by-step explanation:
please mark me as brainlest
Answer:
The coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Step-by-step explanation:
Given
As m is the midpoint, so
m(x, y) = m (-7, -2.5)
The other point a is given by
a(x₁, y₁) = a(-9, -4)
To determine
We need to determine the coordinates of the point b
= ?
Using the midpoint formula
substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)
Thus equvating,
Determining the x-coordinate of b
[x₂ + (-9)] / 2 = -7
x₂ + (-9) = -14
x₂ - 9 = -14
adding 9 to both sides
x₂ - 9 + 9 = -14 + 9
x₂ = -5
Determining the y-coordinate of b
[y₂ + (-4)] / 2 = -2.5
y₂ + (-4) = -2.5(2)
y₂ - 4 = -5
adding 4 to both sides
y₂ - 4 + 4 = -5 + 4
y₂ = -1
Therefore, the coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
