Answer:
8.5
Step-by-step explanation:
3x + y = -3
-2x + y = 7
Use elimination method
Subtract both equations
5x = -10, x = -2
Plug in -2 for x (any equation)
3(-2) + y = -3
-6 + y = -3
y = 3
Solution: x = -2, y = 3
Or as a coordinate: (-2, 3)
Answer:
3x -7y = 0
Step-by-step explanation:
Parallel lines have the same slope.
Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.
The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.
Parallel line:
-3x +7y = 0
In standard form:
3x -7y = 0
Answer:
2.5
Step-by-step explanation:
2.5 is the only positive number amongst the options, so it must be the greatest.
Volume of a rectangle prism is found by <em>multiplying length, width, and height</em>.
So:
3. 9 1/3 * 4 * 6 1/2 = 28/3 * 4 * 13/2 = 1456/6 = 242 2/3 in³
4. 2 1/2 * 5 3/4 * 8 = 5/2 * 23/4 * 8 = 920/8 = 115 yd³