When a linear equation is in the form y = mx + c, the c, or constant, is the intercept on the y axis, meaning it crosses the y axis at (0, 1).
The gradient (1/3 in this case) is how much the y increments (or decrements) per increase of 1 of the value of x.
This would mean that there would be one point at (0, 1), and another at (3, 2). Draw a line from these two points and beyond, and that is the graph sketched.
Alternate interior angles.
Explanation
When two angles lie on same line but on different sides, then it's Alternate interior angles.
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The problems with extra information, are difficult to solve because sometimes, not all data should be used.
Therefore, students begin to doubt the fact that they are not using all the information raised in the problem.
Example:
Problem:
Suppose we have a triangle with a right angle. The problem gives us as data an angle and the sides of the triangle. We want to determine the length of the hypotenuse.
Solution:
Using the Pythagorean theorem we can solve the problem.
The given angle data is an extra information that you should not use for this case.
Let Poly = X
Andy gets twice as much as Poly so Andy = 2X
Pheobe gets three times as much as Andy, so she is 3(2x) = 6X
Now add them together to equal 270:
X + 2X + 6X = 270
Simplify:
9X = 270
Divide both sides by 9:
X = 270 /9
X = 30
Poly = X = 30
Andy = 2X = 2(30) = 60
Pheobe = 6X = 6(30) = 180
Answer:
450,000
Step-by-step explanation:
The first digit has 9 choices
Digits 2 through 5 each have 10 choices
Digit 6 has 5 choices.
9 * 10 * 10 * 10 * 10 * 5 = 450,000
