Answer:
Step-by-step explanation:
Well, I really don’t like graphic approaches in math, so hear ya go a formula:
Although there are easier ways that work for some quadratics, but this formula works for them all. (It is atached, have a look)
So,
( -(-2)+- square root of ((-2)^2-4(1)(-40)) ) / 2(1)
Note that for a hear I use one, since there is nothing in front of x.
( 2 + (12.8) ) / 2 < with plus
( 2 -(12.8) ) / 2 < with minus
X = 7.4
Or
X = -5.4
(Quad equations have 2 answers)
Answer:
the probability of inviting both relatives to the meeting = 1/10
Step-by-step explanation:
There are total two invitations that I will send, hence two selections.
For the first selection, I have 5 people total and two of them relatives.
Hence, the probability of inviting relative in first choice is 2/5.
Now assuming that we have invited one relative out of 5 people,
we are left with only 4 people out of which one is relative.
So, probability of inviting relative in second choice is 1/4.
So the probability of inviting both the relatives is (2/5)*(1/4) = 1/10
The equation of line passing through (2, -2) and parallel to
is 
<em><u>Solution:</u></em>
We have to find the equation of line passing through (2, -2) and parallel to 
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
Where "m" is the slope of line and "c" is the y-intercept
On comparing the given equation of line
with eqn 1,

We know that slope of a line and slope of line parallel to it is always equal
Therefore, slope of line parallel to given line is also 
Substitute (x, y) = (2, -2) and
in eqn 1

Substitute c = -1 and
in eqn 1

Thus equation of line parallel to given line is found
6 = x + 2/3
We're simply just trying to get "x" isolated.
So, we must subtract 2/3 from both sides.
6 - 2/3 = x
Simplify.
Turn 6 into an improper fraction.
6 is now 18/3 :)
So, our new problem looks like this :
18/3 - 2/3 = x
Simplify.
16/3 = x
Turn 16/3 into a mixed fraction.
How many times does 3 go into 16? 5 times! :)
So, we do this :
3 × 5 = 15
16 - 15 = 1
So, x = 5 1/3
~Hope I helped!~