Yes, it’s D because you would have want to compare both fractions by making them have the same denominator. Since 60 is the least common denominator for 10 and 12 (the denominators), you would convert the fractions by multiplying the numerator and denominator of 5/10 by 6 to get 60. 5/10 would turn into 30/60. Then you would multiply 6/12 both by 5, and then it would turn into 30/60. Now that you have equal fractions, you can guess that they are the same. Therefore, 30/60=30/60! An easier way of doing it would be just simplifying them into 1/2 and comparing them + seeing that they are both 1/2. Hope this helps!
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Caramelatte
Answer: D (0,0)
Step-by-step explanation:
Rewrite equation as
Y=-5x
Now substitute for x "0"
Y= -5(0)
Y= 0
So the equation is y=-5 and ordered pair (0,0)
Here's another point substitute 1.
Y= -5(1)
Y= -5
Therefore ordered pair (1,-5)
Here's a third point substitute 2 for x .
Y= -5(2)
Y= -10
The point will be (2,-10)
These are three possible solutions to the equation.
(0,0),(1,-5),(2,-10)
Therefore from your options will be (0,0).
- Solutions for a system of equations means finding out common points for the equations.
- ( look attached file screenshot from Geogebra)
The solution is:
Point P ( -2 ; 0)
Point Q ( 1 ; -6)
2) If the linear equation never touches the quadratic function the system has no solution
The system:
2×x + y = -4 or y = -4 - 2×x
y = x² - x - 6 (1)
Solving ( by substitution of y value in equation (1) )
- 4 - 2× x = x² - x - 6
x² - x - 6 + 4 + 2×x = 0
x² + x -2 = 0
Solving for x
x₁,₂ = ( - 1 ± √1 +8 ) / 2
x₁,₂ = (-1 ± 3 )/2
x₁ = - 2
x₂ = 1
Now for x₁ = -2 y = (-2)² - ( -2) - 6 y = 0
Point P ( -2 ; 0)
For x₂ = 1 y = (1)² - ( 1) - 6 y = - 6
Point Q ( 1 ; -6)
Related Links: brainly.com/question/19130975