Answer:
In first equation if we put the value of x and y (x=2,y=2)than,
3x+y=8
3×x+y=8
3×2+2=8
6+2=8
8=8
in second equation the value of x=2,y=1
x2+xy=6
x2+x×y=6
4+2×1=6
4+2=6
6=6
Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7
and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so
to find the intersection, yo just find when both sentances are correct so
y=7
subsitute that into y=1/2x+6
7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x
so the point (2,7) is the intersection
Look at it this way:
When you flip a coin, the probability of it landing with EITHER side showing
is 100%.
This leads us to the rule ...
The sum of the probabilities of
all possible outcomes is 100%.
For a coin: (probability of heads) plus (probability of tails) = 100%.
That just says: We're 100% sure that the coin will land with either
heads or tails up.
An "honest" coin gets heads 50% of the time and tails the other 50%.
But if the coin is all bent and squashed and has a feather stuck to
one side and a wad of gum on the other side so that it comes up
heads 70% of the time, then the coin isn't 'honest'. But it still has to
land EITHER heads OR tails, so the sum of the probabilities is still 100%.
So the probability of heads is 30%.
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193
The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°
So the vector is √193 @ 120.26°
Answer:
33.
Step-by-step explanation:
x^2 - 7x + 4.
The discriminant of the above
= b^2 - 4ac
= (-7)^2 - 4*1*4
= 49 - 16
= 33.
