The greatest common factor of 12 and 18 is 6.
The cost of 8 pounds of oranges based on the total cost of 5 pounds bought is 12.00
What is the cost for a pound of oranges?
The cost of a pound of oranges based on the rate at which 5 pounds were bought and 8 pounds would also be bought is determined as the amount paid for 5 pounds of oranges divided by the number of pounds of oranges bought
cost per pound of oranges=cost of 5 pounds/5 pounds
cost per pound of oranges=7.50/5
cost per pound of oranges=1.50
Based on the 1.50 per pound, the cost of 8 pounds is the cost per pound multiplied by 8 pounds
cost of 8 pounds of oranges=1.50*8pounds
cost of 8 pounds of oranges=12.00
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4x + 5x + 12 = 6(x - 2)
Combine like terms and distribute the coefficient outside of the parenthesis:
9x + 12 = 6(x) + 6(-2)
9x + 12 = 6x - 12
Subtract 6x from both sides:
9x - 6x + 12 = 6x - 6x - 12
3x + 12 = -12
Subtract 12 from both sides:
3x + 12 - 12 = -12 - 12
3x = -24
Divide both sides by 3:
3x/3 = -24/3
x = -8.
Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
Answer:
y+2= 3(x+1)
Step-by-step explanation:
First you need to find slope by using y2-y1/x2-x1
you should get 3 for your slope(m)
Them you chose any point iḿ using (-1, -2)
The formula for point slope form is...
y-y1=m(x-x1)
plug those numbers in and you get
y + 2 = 3(x + 1)
