Answer:
A.
3x + 3y = 0
7x − y = 8
Step-by-step explanation:
Given
3x + 3y = 0
-4x + 4y = -8
Required
Find the equivalent
To solve for the equivalent we simply solve for x and y in the given equation.
Subtract 3x from both sides in 3x + 3y = 0
3x - 3x + 3y = 0 - 3x
3y = -3x
Multiply both sides by ⅓
⅓ * 3y = -3x * ⅓
y = -x
Substitute -x for y in -4x + 4y = -8
-4x + 4(-x) = -8
-4x -4x = -8
-8x = -8
Multiply both sides by -⅛
-⅛ * -8x = -⅛ * -8
x = 1
Recall that y = -x
y = -1
So, we have that x = 1 and y = -1
We'll substitute these values in the list of options;
A.
3x + 3y = 0
7x − y = 8
7(1) - -(1) = 8
7 + 1 = 8 ----- This is equivalent
B.
3x + 3y = 0
−7x − y = 8
-7(1) - (-1) = 8
-7 + 1 = 8
-6 ≠ 8 .... This is not an equivalent expression
C.
3x + 3y = 0
−7x + 7y = 8
-7(1) + 7(-1) = 8
-7 -7 = 8
-14 ≠ 8 .... This is also not an equivalent expression
D.
3x + 3y = 0
-4x + 7y = 8
-4(1) + 7(-1) = 8
-4 -7 = 8
-11 ≠ 8 -_- This is also not an equivalent expression
Answer:
The answer to your question is x = 4
Step-by-step explanation:
2x² - bx - 20 = 0
One root is -2.5
Process
Get the value of the equation when x = -2.5
2(-2.5)² - b(-2.5) - 20 = 0
2(6.25) + 2.5b - 20 = 0
12.5 + 2.5b - 20 = 0
2.5b = 20 - 12.5
2.5b = 7.5
b = 7.5 / 2.5
b = 3
Then
2x² - 3x - 20 = 0
Factor the polynomial
2 x -20 = -40
2x² -8x + 5x - 20 = 0
2x(x - 4) + 5(x - 4) = 0
(x - 4)(2x + 5) = 0
x₁ - 4 = 0 2x₂ + 5 = 0
x₁ = 4 x₂ = -5/2
x₂ = -2.5
Isolate the variable by dividing each side by factors that don't contain the variable.
x > 6
Answer:
-5
Step-by-step explanation:
This is a quadratic polynomial that has the form ax²+bx+c :
here the coefficient of b is -5
Answer:
1.3 meters is the radius of the circle that the python forms.
Step-by-step explanation:
We are given the following in the question:
Python curls up in the form of a circle.
Circumference of python =
We have to find the radius of the circle formed.
Circumference of circle is given by
Equating, we get,
Thus, 1.3 meters is the radius of the circle that the python forms.
