Make X the subject of the formula y = ax + b
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The linear equation can be written in the form of a, b, and y as x = (y - b)/a if the linear equation is y = ax + b.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The linear expression is:
y = ax + b
The linear expression can define as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
ax = y - b
x = (y - b)/a
Thus, the linear equation can be written in the form of a, b, and y as x = (y - b)/a if the linear equation is y = ax + b.
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I believe you mean that x needs to be isolated?
First, divide both sides by a. You'll get Y/A = x+b. Then, subtract b from both sides, to get Y/A - B = X.
Or x= y/a - b.
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A. (-6, -4) B. (-4,-6) C. (6,4) D. (4,6)
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Answer:
Option C is correct.i.e., ( 6 , 4 ) lie on given line.
Step-by-step explanation:
Given Equation, y - 4 = -2 ( x - 6 )
Option A:
From given point, x = -6 and y = -4
LHS = y - 4 = -4 - 4 = -8
RHS = -2 ( x - 6 ) = -2 ( -6 - 6 ) = -2 × ( -12 ) = 24
LHS ≠ RHS
⇒ This point does not lie on given line.
Option B:
From given point, x = -4 and y = -6
LHS = y - 4 = -6 - 4 = -10
RHS = -2 ( x - 6 ) = -2 ( -4 - 6 ) = -2 × ( -10 ) = 20
LHS ≠ RHS
⇒ This point does not lie on given line.
Option C:
From given point, x = 6 and y = 4
LHS = y - 4 = 4 - 4 = 0
RHS = -2 ( x - 6 ) = -2 ( 6 - 6 ) = -2 × ( 0 ) = 0
LHS = RHS
⇒ This point lie on given line.
Option D:
From given point, x = 4 and y = 6
LHS = y - 4 = 6 - 4 = 2
RHS = -2 ( x - 6 ) = -2 ( 4 - 6 ) = -2 × ( -2 ) = 4
LHS ≠ RHS
⇒ This point does not lie on given line.
Therefore, Option C is correct.i.e., ( 6 , 4 ) lie on given line.
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Answer:
70000+600+80+1=70681
Step-by-step explanation:
Given : Number 70,681.
To find : Write the number in expanded form?
Solution :
Expanded form is a way of writing a number to see the math value of individual digit.
So, 7 place value is written as 70000.
6 place value is written as 600.
8 place value is written as 80.
1 place value is written as 1.
The expanded form is 70000+600+80+1=70681.
The expanded form of the number 70,681 is 70,000 + 600 + 80 + 1.
To write 70,681 in expanded form, we break down the number by its place values:
70,681 = 7 × 10,000 + 0 × 1,000 + 6 × 100 + 8 × 10 + 1
So, the expanded form of 70,681 is:
70,681 = 7 × 10,000 + 0 × 1,000 + 6 × 100 + 8 × 10 + 1
This can be further simplified as:
70,681 = 70,000 + 600 + 80 + 1
Therefore, the expanded form of 70,681 is:
70,681 = 70,000 + 600 + 80 + 1
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Step-by-step explanation:
Answer:
Step-by-step explanation: a + ( n- 1 )d
where,
'a' means first term
'n' means number
'd' means common difference
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