Combining like terms is used in math in order to simplify expressions. We combine common terms in order to make the expression much easier. Common terms are those that have the same variable and exponent. So in the expression:
Thus, the expression becomes:
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Attic Floor:8×10=80 square meters
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The given equation of the line that passes through the point (4, 0).
The equation of the line.
m = Slope of the line
c = y-intercept
The given equation of the line.
Comparing the given equation with equation 1.
The slope of the line is and y-intercept
We know that the slope of the perpendicular line is .
So the slope of the perpendicular line is .
Using point slope formula we write the equation of the perpendicular line that passes through the point (4, 0).
Now we substitute the slope of the perpendicular line and from point (4, 0) in above equation.
Therefore the perpendicular line equation is .
1. The slope of the perpendicular line is .
2. The y-intercept of the perpendicular line is 6.
3. The equation of the line is perpendicular to the equation of line .
We are told that ...
the radius of circle P is half the radius of circle Q.
The same relation applies to any corresponding linear measures of these circles, so we can also say ...
the diameter of circle P is half the diameter of circle Q
the diameter of circle P is half of 6 meters, so is 3 meters
Hypotenuse = 5.7 cm
Since the base is a right triangle, we would apply pythagorean theorem to find the length of the hypotenuse of the triangular base.
Pythagorean theorem is given as: c² = a² + b²,
c = hypotenuse
a = 4 cm
b = 4 cm
(Hypotenuse)² = 4² + 4²
Hypotenuse = √32
Hypotenuse = 5.65685425
Hypotenuse = 5.7 cm (nearest tenth)