Answer:
Step-by-step explanation:
In point-slope form, our equation would be y - 9 = 2(x - 1). Expanding, we get y - 9 = 2x - 2. Solving for y, we obtain the form of the equation as shown in the problem: y = 2x + 7.
So, the numbers that would go in the blanks would be 2 and 7, respectively.
Answer:
-12w^3 + 30w.
Step-by-step explanation:
–6w(2w^2 - 5) Using the distributive law:
= -6w* 2w^2 - 6w*-5
= -12w^3 + 30w.
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
Answer:
82
Step-by-step explanation:
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