Answer:
The result is the well-known quadratic formula: x = (-b±√(b²-4ac))/(2a)
Step-by-step explanation:
Start with the standard form quadratic equation:
ax² +bx +c = 0
1. Divide by a
x² +(b/a)x +(c/a) = 0
2. Subtract the constant
x² +(b/a)x = -(c/a)
3. Complete the square
x² +(b/a)x + (b/(2a))² = (b/(2a))²-(c/a)
(x +b/(2a))² = (b²-4ac)/(2a)²
4. Take the square root
x +b/(2a) = ±√(b²-4ac)/(2a)
5. Subtract the constant on the left to get x by itself
x = (-b±√(b²-4ac))/(2a)
1)
2(3x-5)
Use the distributive property.
2(3x)+2(-5)
6x-10
That is not equal to 6x-8.
2)
2-2+5x
Simplify the like terms, 2 and -2
Add them together, 0
5x=5x the two expressions are equal
3)
2x+8 because there are x stickers in a pack
2(4+x)=2(4)+2(x)=8+2x=2x+8
Yes they are the same expressions.
Answer:
△KNP ≅ △GHB
△NPK ≅ △HBG
Step-by-step explanation:
Given: △PKN≅△BGH
This means two triangles PKN and BGH are congruent. Congruent triangles havecongruent corresponding parts.
So,
and corresponding vertices
Hence,
A. Triangle KNP is congruent to triangle GHB - true
B. Triangle KPN is congruent to triangle GBH - false
C. Triangle NKP is congruent to triangle HGB - false
D. Triangle NPK is congruent to triangle HBG - true