Answer:
4 terms
Step-by-step explanation:
4is the number of variable terms that are in the expression 3x3y + 5x2 _ 4y + z + 9. The four variable terms in the expression are "xy", "x^2", "y" and "z"
Answer:
Not similar
Step-by-step explanation:
If the triangles are similar, they will have all congruent angles and corresponding sides that form equivalent ratios.
When simplified, these two ratios are not equal. These triangles are not similar.
Answer:
the third option cannot be a function
Step-by-step explanation:
whenever a set or ordered pairs contains an x-value that appears more than once then it cannot form a function
Answer:2
Step-by-step explanation:y = 0 : 0 = -2x + 4 → x = -2 is the x-intercept. Similarly, when the line crosses the y-axis, the x-coordinate at this point will be zero and substituting x = 0 into the equation will give us the y-intercept. x = 0 : y = 0 + 4 → y = 4 is the y-intercept.
¹³C₈ + ¹³C₉ as a single term from Pascal's Triangle is ¹⁴C₉
<h3>
What is Pascal's triangle?</h3>
Pascal's triangle is a triangle written in such a way that it forms the coefficients of a binomial expansion. The coefficients of the terms are gotten through combination.
<h3>What is combination?</h3>
Combination is the number of ways r in which n objects can be selected. It is given by ⁿCₓ = n!/x!(n - x)!
<h3 /><h3>How to write a single term from Pascal's Triangle in the form t_nr = t_13,8 + t_13,9.</h3>
Since we have ¹³C₈ + ¹³C₉ and we want to write it as a single term, we have that
- ¹³C₈ = 13!/8!(13 - 8)! = 13!/8!5! and
- ¹³C₉ = 13!/9!(13 - 9)! = 13!/9!4!
So, ¹³C₈ + ¹³C₉ = 13!/8!5! + 13!/9!4!
= 13!/(8! × 5 × 4!) + 13!/(9 × 8! × 4!)
= 13!/8!4![1/5 + 1/9]
= 13!/8!4! × [(9 + 5)/45]
= 13!/8!4! × 14/45]
= 13!/8!4! × 14/(9 × 5)]
= 14 × 13!/8! × 9 × 4! × 5)]
= 14!/9!5!
= 14!/9!(14 - 9)!
= ¹⁴C₉
So, ¹³C₈ + ¹³C₉ as a single term from Pascal's Triangle is ¹⁴C₉
Learn more about Pascal's triangle here:
brainly.com/question/3442415
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