FORMULA: y=mxSibstitute: 12=m(5)Solve: 12/5=5/5
Answer: 12/5
Answer:
Step-by-step explanation:
The center is at (1,-2) from the graph.
The radius is 2 [3 - 1 on the horizontal]
The equation of the circle is
(x - 1)^2 + (y + 2)^2 = 2^2
(x - 1)^2 + (y + 2)^2 = 4
The way she has the equation set up, she is only selling 1 bottle of tea and x bottles of water. So, she basically forgot to put the variable in that represents the number of bottles of tea sold
the way it should be : x = # of bottles of water, and y = # of bottles of tea
1.25x + 1.49y = 100
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
Answer:
The equation would be y = 3/2x - 1
Step-by-step explanation:
To find the answer in slope-intercept form, simply solve for y.
4x-4y/2=x+2 ----> Subtract 4x from both sides
-4y/2=-3x+2 ----> Multiply both sides by 2
-4y = -6x + 4 -----> Divide by -4
y = 3/2x - 1
