Given:
The equation is,
Explanation:
Simplify the equation by using logarthimic property.
Simplify further.
Solve the quadratic equation for x.
From the above equation (x - 6) = 0 or (x - 3) = 0.
For (x - 6) = 0,
For (x - 3) = 0,
The values of x from solving the equations are x = 3 and x = 6.
Substitute the values of x in the equation to check answers are valid or not.
For x = 3,
Equation satisfy for x = 3. So x = 3 is valid value of x.
For x = 6,
Equation satifies for x = 6.
Thus values of x for equation are x = 3 and x = 6.
3x+4y=12
4y = - 3x + 12
y = -3/4 x + 3; This line has slope equal - 3/4
Perpendicular lines, slope is opposite and reciprocal so slope of new line = 4/3
Passing point (6 , -2)
y + 2 = 4/3(x - 6)
y + 2 = 4/3 x - 8
y = 4/3 x - 10
Answer
Equation: y = 4/3 x - 10
Can be described as a "Shape"
SOLUTION:
We are to calculate the shaded area of the given shape.
CONCEPT:
This is a triangle that a rectangle was cut out from.
To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.
The shaded area = Area of the triangle - Area of the rectangle
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.
Any parallel line will do.
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b) There is one solution when the graphs intersect in exactly one point.
Any line that crosses the one shown will do.
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c) There are infinite solutions when the graphs describe the same curve.
A line overlapping the one shown is the one you want.
