Answer:
x=(3,1/4)
Step-by-step explanation:
Be sure to use the formula...
- First, move all variables to one side (left) of the equation. You want one side to be equivalent to zero.
-Next, you need to find a, b, and c. This should be...
a=4
b=-13
c=3
- Knowing this, fill in these variable to go along with the formula. I cannot do this for you, as you should try it on your own. But, you should end up with the solution x= (3,1/4).
- Hope this helps! If you need a further explanation or help on any more problems please let me know, as I would be glad to help anytime.
Answer:
See attachment
Step-by-step explanation:
We want to graph the system
2x+y=8
-x+2y=6
Let us rewrite the lines in slope intercept form:
y=-2x+8

The first line has a slope of -2 and a y-intercept of 8
The second line has a slope of 1/2 and a y-intercept of 3
We can no graph the lines as shown in the attachment.
Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.
The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.