Answer:
Quadratic relations and comic sections unit test part 1
10. b. x^2/25 + y^2/169 =1
Step-by-step explanation:
Answer:
Step-by-step explanation:
x intercepts are -3,-1
f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3
or f(x)=-(x+2)²+1
vertex is (-2,1)
so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)
You can not use either of them because neither of them have a variable= to the eqaution
ex.) y= 3x+25
81 a² - 25
is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Step-by-step explanation:
The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs
- a² - b² is a difference of two squares
- a² - b² = (a + b)(a - b)
∵ The binomial is 81 a² - 25
∵
= 9
∵
= a
∴ 
∵
= 5
∵
= z³
∴ 
- The two terms have square root
∵ The sign between them is (-)
∴ 81 a² - 25
is a difference of two squares
∵ Its factorization is two identical brackets with different
middle signs
∵ 81 a² = 9a × 9a
∵ 25
= 5z³ × 5z³
- The terms of the two brackets are 9a and 5z³
∴ 81 a² - 25
= (9a + 5z³)(9a - 5z³)
81 a² - 25
is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Learn more:
You can learn more about the difference of two squares in brainly.com/question/1414397
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