Answer:
The above system of equation have NO INTERSECTION POINT.
Step-by-step explanation:
Here, the givens system of equation are:
-3 x + 3 y = 4
and y = x + 3
Now, for the intersection of the equations:
Put y = x + 3 in the given first equation:
-3 x + 3 y = 4 ⇒ -3x + 3 (x+ 3) = 4
or, - 3x + 3x + 9 = 4
⇒ 9 = 4 which gives A CONTRADICTION as 9 ≠ 4
Hence, the above system of equation have NO INTERSECTION POINT.
When these identical cylindrical cans are stacked on top of each other, this would mean that their diameters coincide with each other, and their height added up. Hence, the larger can would have the same radius but twice the original height.
Answer:
when you have longer than 10 minute phone calls
Step-by-step explanation:
after 10 minutes each plan is 650
plan A + 1 more minute = 680
plan B + 1 more minute = 670
so after 10 minutes plan b costs less
<h3>
Answer: -4</h3>
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Explanation:
We can pick any two rows from the table to get the (x,y) points needed to find the slope.
Let's say we pick the second and third rows
Subtract the y values: 14-6 = 8
Subtract the x values in the same order: 1-3 = -2
Divide the differences: 8/(-2) = -4
The slope is -4
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You can use the slope formula
Let's say the points are (x1,y1) = (1,14) and (3,6)
m = (y2-y1)/(x2-x1)
m = (6-14)/(3-1)
m = -8/2
m = -4
It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.