Answer:
the interception of the function will be equals -2x+5 And x-4
I guess
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
y =x+10
y =6x+30
substitute x+10 into the 2nd equation anywhere you see y
x+10 = 6x+30
subtract x from each side
x-x+10 = 6x-x+30
10 = 5x+30
subtract 30 from each side
10-30=5x+30-30
-20 = 5x
divide by 5 on each side
-20/5 =5x/5
-4=x
now solve for y
y=x+10
y = -4 +10
y=6
Answer: x=-4
y=6
or (-4,6)
3. y = -3x-6
6x+5y=-30
6x+5(-3x-6) =-30
5x-15x-30=-30
-20x-30=-30
-20x=0
x=0
y = -3x-6
y=-6
