Substituting (x, y) with (a, a), since we have:
3a=2a-4, which means that 3a-2a=-4, that is a=-4.
So, the point is (-4, -4).
Remark: a point which lies in the graph of an equation is a solution of that equation. So x=a, y=a satisfies the equation <span> 3y = 2x -4, which makes our substitution legitimate.
Answer: </span>(-4, -4).
Answer: Angle 2
The 7.5 cm side is opposite angle 2, so opposite = 7.5
The 18 cm side is adjacent to angle 2, so adjacent = 18
Therefore, tan(angle 2) = opposite/adjacent = 7.5/18
Replace "angle 2" with "A" and we have tan(A) = 7.5/18
The question given here has two parts and each part has to be answered separately. In case of both the multiplications, the answer might look to be huge but by applying a simple technique, anybody can do these multiplications without the help of any calculator.
Now let us take the case of first multiplication that is given:
50000 * 700
= 35000000
In this case all the zeroes present has to be written first and then 7 and 5 should be multiplied and put. This will get the answer easily.
Now we take the second multiplication given:
100 * 123478
= 12347800
In this case also the zeroes are simply put on the right side of the number 123478.
To help you graph this, get y alone in both equations. If you don't have a graphing calculator, use the Desmos graphing calculator online.
So, you will end up graphing this:
y=8-x
y=(34/3)-(5/3)x
They will meet at (5,3)
Answer:
Sample space= 1, 2, 3, 4, 5, 6
Outcomes= 2, 4, 6
Probability= Number of outcomes/ total number of outcomes
= 3/6 times 2( as 2 dices are rolled)
=6/12
=1/2
Therefore, the probability of getting 2 even number is 1/2
