Answer:
Step-by-step explanation:
<u>Solving quadratic equation:</u>
- 5x² - 8x + 5 = 0
- x = (-b ± √b²-4ac)/2a
- x = (8 ± √8²-4*5*5)/2*5
- x = (8 ± √64-100)/10
- x = (8 ±√-36)/10
- x = (8 ± 6i)/10
- x = (4 ± 3i)/5
x = (r ± si)/t
r = 4, s = 3, t = 5
For an arithmetic sequence, the nth term is the first term plus (n-1)×the differece
the first term is 28, the difference between each adjacent number is 8
so -36=(28)+8(n-1)
8(n-1)=64
n-1=8
n=9
the 9th term is -36
Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0
Here, a = 1, b = 3 and c = -4.
The formula for the discriminant is b^2 - 4(a)(c).
Substituting the given values of a, b and c, we get:
(3)^2 - 4(1)(-4)
Evaluating this, we get 9 + 16 = 25.
The discriminant is 25.
-3 plus or minus √25
Taking this further, x = ------------------------------------
2
-3 plus or minus 5
or: x = -------------------------------- => {-4, 1} (solutions)
2
Answer:
G
Step-by-step explanation:
Co linear means that a point is on the same line as some given point.
AY forms a line segment and is part of EG which is a diagonal of the base..
Therefore AY and G are all colinear. The answer you want is G.
Answer:
A=-2
B=-8
Step-by-step explanation:
In order for the system of linear equations to have infinitely many solution, they must be the same equation.
Ax-y=8
2x+y=B
We need to choose A and B so they are the same equation.
I notice they are both in the same form but in the second column you have opposites;
the -y and y.
So im going to multiply either equation by -1 so that part is exactly the same.
Don't choose both; choose only one.
Let's multiply the first equation by -1.
Doing this gives us the following:
-Ax+y=-8
2x+y=B
So now we can choose A and B so these equations appear exactly the same.
We need -A=2 and B=-8.
-A=2 implies A=(opposite of 2) which is -2.
Conclusion:
A=-2
B=-8
