Answer:
y= -2/5 x -4
Step-by-step explanation:
So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:
m=(y2 - y1 )/(x2 - x1)
If you were using the points, (-10,0) and (0, -4) the equation would be:
m=(-4-0) / (0+10)
So, m= -2/5
The equation of the line would end up being:
y= -2/5 x -4
The intersection of two sets A and B is defined as the set composed by the elements appearing in both A and B.
So, the intersection is
Because all the other numbers do not belong to both sets:
- 2, 3 and 7 belong to A alone
- 13, 15 and 17 belong to B alone
- 5 and 11 belong to both A and B
Answer:
15
Step-by-step explanation:
The formula for factoring a sum of cubes is:
We have a=3f and b=5g here.
So a*b in this case is 3f*5g=15fg.
The ? is 15.
The number in the blank box should be 44 because it said that "3 times x and 4 times y is 44".
You need to multiply the first equation by 3:
3x + 3y = 39.
Then, subtract the first equation from the second equation:
3x - 3x = 0
4y - 3y = y
44 - 39 = 5
Your new equation should look like this: y = 5
Now, substitute y = 5 into the first original equation:
x + 5 = 13
x = 8
Ans. (x, y) = (8, 5)
