The answer after subtracting the following equation is x= -8/5
Step-by-step explanation:
- -2x+7y=10 ----- eq(1) , 3x + 7y =2------ eq(2)
- subtracting eq 2 from eq 1 we get
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A contrapositive is a statement that negates and interchanges the hypothesis and conclusion of a conditional statement.
Conditonal Statement:
If I go to work, the roads are clear.
Contrapositive (Of the conditional statement):
If the roads are not clear, I will not go to work
To form that contrapositive I negated both the hypothesis and conclusion, and then interchanged them.
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting in (i), we get
Divide both sides by -4.
Putting in (i), we get
Therefore, the required equation of the parabola is .
Note: All options are incorrect.
Answer:
Step-by-step explanation:
y = -x - 9
y = 2x + 3
Find point of intersection
2x + 3 = -x - 9
x = -4
Intersection: (-4,-5)