Well I don’t know if this will help but when you have -4=16x you would first switch the number around so that x is towards the left side then you would simply divide both sides of the equation by 16 which should get you x=-1/4
Answer:
<h2>
35°</h2>
Step-by-step explanation:
This is an isoceles triangle
And as we all know an isoceles triangle has two equal base angles.
And we also know that the sum of all interior angles of the triangle is 180°
So based on this we can form an algebraic equation of solve for angke t (Let's do it :))
So the base angle is 35°
Answer:
The solution to the system of equations be:
x = 2, y = 4
Step-by-step explanation:
Given the system of equation
y - 2 = x
y = 3x - 2
substitute y = 3x - 2 in the equation y - 2 = x
y - 2 = x
(3x - 2) - 2 = x
3x -2 -2 = x
3x - 4 = x
add 4 from both sides
3x - 4 + 4 = x + 4
3x = x + 4
subtract x from both sides
3x - x = x + 4 - x
3x - x = 4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
For y = 3x - 2, plug in x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the solution to the system of equations be:
x = 2, y = 4
9514 1404 393
Answer:
21x² +20x +100 = 0
Step-by-step explanation:
We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...
The sum of the roots of the new equation will be ...
-b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))
The product of the roots of the new equation will be ...
c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)
Using the above relations for (α+β) and αβ, we find that ...
-b' = (-b)(1 +1/c)
c' = c + 2 + 1/c
For the given equation, our definition of b and c is ...
b = 2/3
c = 7/3
so the new equation has values ...
b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21
c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21
So, the equation with the roots of interest is ...
x² +20/21x +100/21 = 0
Multiplying by 21 gives ...
21x² +20x +100 = 0
Answer:
ur counter example would mean making that conjecture false.
x^3 > 3x + 3....subbing in 2
2^3 > 3(2) + 3
8 > 6 + 3
8 > 9....this is not true...so ur answer is C. 2
Hope I helped you out :)
