A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into
form. If everything is the same, you know it will have infinite solutions.
Answer:
<u>416 square centimeters</u>
Step-by-step explanation:
Formula for finding area of a trapezoid :
<u>A = 1/2 x (a + b) x h</u>
- a and b = parallel sides of the trapezoid
- h = height of the trapezoid
Solving :
- A = 1/2 x (38 + 14) x 16
- A = 8 x 52
- A = <u>416 square centimeters</u>
What I would do is subtract 12 from -5. Then you would have -17. Then you would add 4 and it would be -13. So your answer is:
<h2><em>
-13</em></h2>
Answer:
1. Slope = -4/5
2. Slope = 2/3
3. Slope = 0
4. Slope = 3/-4
5. Slope = 7/-12
6. Slope = 1/2
7. Slope = -2/0 --> Undefined
8. Slope = 3/-2
9. Slope = 5/-4
10. Slope = 4/3
Step-by-step explanation:
Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:
10-2/1-11 = 8/-10 = -4/5
You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
