The given expression is a trinomial because it has three terms
and
It is quadratic because the degree is 2
Step-by-step explanation:
Given expression is:

Given expression is a polynomial
Polynomials are categorized based on two things
1. Number of terms
2. Degree
Number of terms is the total terms in a polynomial and degree is the highest exponent/power of the variable used in polynomial.
The given expression has degree 2.
The polynomial with three terms is called trinomial and the polynomial with degree 2 is called quadratic polynomial.
Hence,
The given expression is a trinomial because it has three terms
and
It is quadratic because the degree is 2
Keywords: Polynomial, expressions
Learn more about polynomials at:
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Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
Answer:
16. (4 + h)( 11 + h)
17. (2 - x)(20 - x)
18. (2 + x)(- 12 + x)
19. (6 + m)(- 7 + m)
20. x =4 and 3
21. x = 9 and -3
Step-by-step explanation:
16. 44 + 15h + h² = 44 + 11h + 4h + h² = (4 + h)( 11 + h) (Answer)
17. 40 - 22x + x² = 40 - 20x - 2x + x² = (2 - x)(20 - x) (Answer)
18. - 24 - 10x + x² = - 24 - 12x + 2x + x² = (2 + x)( - 12 + x) (Answer)
19. - 42 - m + m² = - 42 - 7m + 6m + m² = (6 + m)(- 7 + m) (Answer)
20. x² - 7x + 12 = 0
⇒ x² - 4x - 3x + 12 = 0
⇒ (x - 4)( x - 3) = 0
⇒ x =4 and 3 (Answer)
21. x² - 6x = 27
⇒ x² - 6x -27 = 0
⇒ x² - 9x + 3x - 27 = 0
⇒ (x - 9)( x + 3) = 0
⇒ x = 9 and -3 (Answer)
Answer:
45.5 ft^2
Step-by-step explanation:
The area of the garden is (7 ft) by (13 ft), which works out to 91 ft^2.
The half garden used for cucumbers is (91 ft^2)/2, or 45.5 ft^2.
F(x) = 7/x
g(x)=x²+10
Then f(g(x))= 7/(x²+10)
By the way g(f(x))=(7/x)² + 10