Sam wanted to find the difference 10 -(-6).
1 answer:
Given:
The expression is .
Sam's calculation is
To find:
Whether Sam's thinking correct or not.
Solution:
We have,
Therefore, Sam's thinking was incorrect.
On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.
But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.
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In this problem, we want to write equivalent fractions that share a common denominator.
To find the common denominator, we need to find the lowest common multiple of the denominator for each fraction. So, we need to find the LCM (lowest common multiple) for 4, 2, and 9.
One method is to list multiples of each number until you find one that works. My advice is to start with the largest number, as the lists of smaller numbers can get pretty long.
Let's list the first five multiples of 9:
We see that 9 is not a multiple of 2 or 4.
We see that 18 is a multiple of 2 (2 times 9), but not 4.
As we move through the list, we can check the multiples until it works. In this case, 36 is our common multiple:
Now we want to rewrite each of our fractions using 36 as our denominator.
Next, we'll do 1/2:
Finally, we'll find the last fraction for 7/9:
So now we have all our equivalent fractions for 1/4, 1/2, and 7/9.
Answer:
m = -3
b = 9
y = -3x + 9
Step-by-step explanation:
Let us solve the question
∵ The line passes through points (4, -3) and (3, 0)
∵ The rule of the slope is m =
∵ (x1, y1) and (x2, y2) are 2 points on the line
∴ x1 = 4 and y1 = -3
∴ x2 = 3 and y2 = 0
→ Substitute them in the rule of the slope to find it
∵ m = =
= -3
∴ m = -3
∵ The form of the equation of the line is y = m x + b
→ Substitute the value of m in the form of the equation.
∴ y = -3x + b
→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)
∵ x = 3 and y = 0
∴ 0 = -3(3) + b
∴ 0 = -9 + b
→ Add 9 to both sides
∴ 9 = b
∴ b = 9
→ Substitute the value of b in the equation
∵ y = -3x + 9
∴ The equation of the line is y = 3x + 9