Answer:
The standard form of a quadratic equation is:
, 
Quadratic Formula Derivation:



Completing the Square:


Square Root property:



Step-by-step explanation:
hope this helps you thank you
8.8 because you need to multiply 1.68 by 10 which is 16.8-8=8.8
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
Answer
Step-by-step explanation:
Let x be the fasteners
95% of x passed, and 5% of x failed
20% of the 5% which failed are defective, remaining the 80% of the failed 5%.
Now 40% of this 80% of the 5% which failed are scrapped, meaning only the remaining 60% passed second inspection.
Thus
a). The proportion ;
60% of 80% of 5% of x
mathematically
= 60/100 × 80/100 × 5/100
= 0.024 or 2.4%
b) initially 95% passed and later on 2.4% pass again. Therefore total that passed = 95%+2.4%=97.4%
c) probability that it passed on first inspection is 95/100
Percentage that went through recrimping = 80% of 5% = 80/100 × 5/100 = 1/25 or 0.04 or 4%
Thus probability of passing and not going through recrimping
= 1 - (1/25) = 0.96 or 96%