The answer is -3x^2+10xy+8y^2
So, pretend this is your x-axis and y-axis:
I
I
(-2,7) • I
I
I • (2, 5)
I
I
I
I
_________________I____________________
I
I
I
TO GET FROM POINT (-2, 7) TO POINT (2, 5), WE MOVE DOWN 2 AND OVER 4, SO THE SLOPE IS -1/2. IF WE FOLLOW THAT SLOPE AND MOVE DOWN 1 AND OVER 2 FROM THE FIRST POINT OF (-2, 7), WE WILL LAND ON A POINT LOCATED AT (0, 6), WHICH WOULD BE THE "Y-INTERCEPT". WE WERE JUST ABLE TO CALCULATE THE SLOPE OF THE LINE AND THEN USE THE SLOPE TO FIND THE INTERCEPT. SO, THE "SLOPE-INTERCEPT" FORM OF THE EQUATION FOR THIS LINE IS:
y = -1/2x + 6
TO RE-WRITE THIS IN STANDARD FORM, WE JUST WANT TO MOVE THE X VARIABLE OVER TO THE LEFT WITH THE Y VARIABLE, SO:
y = -1/2x + 6
+1/2x + 1/2x
1/2x + y = 6 .... and that is your answer!
Answer:
Their best investment when they retire in 40 years would be option B.
Step-by-step explanation:
Ragai and Carly invest the $1000 received for their wedding for 40 years.
From the diagram,
In option A, the initial investment do not increase at a constant rate yearly.
In option B, the amount invested increase by $75 yearly.
In option C, the yearly increase does not have a steady value.
In option D, the amount invested increases by a n + consecutive odd values yearly. Where n is the increase of the previous year.
Their best investment when they retire in 40 years would be option B because it would yield the highest profit.
Answer:
Volume of the sphere is 
Step-by-step explanation:
It is given diameter of the sphere d = 6 cm = 0.06 m
Radius of the sphere
We know that volume of the sphere is given by
Therefore ,
Therefore volume of the sphere is
Answer:
There will be 1 solution to the system of equations.
Step-by-step explanation:
y = 6x - 7
y = 53x + 13
Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.
tadah!
