Answer:
A
Step-by-step explanation:
Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a3b, a2b2, ab3, b4.
The degree of each term is 4.
The first term is actually a4b0, which is a4 · 1.
Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:
(a + b)5 = ? a5 + ? a4b + ? a3b2 + ? a2b3 + ? ab4 + ? b5
The question is, What are the coefficients?
They are called the binomial coefficients. In the expansion of
(a + b)4, the binomial coefficients are
1 4 6 4 1
Answer:
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The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be
.
<h3>What is the Pythagoras theorem?</h3>
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The short leg of a 90-45-45 triangle is 3 and the long leg is 7.
Since this is a right triangle, we can use the Pythagoras theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse

Hence, The hypotenuse would be
.
Learn more about Pythagoras theorem;
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In the second box put 15 in the fifth box put 30. Explanation:in both boxes the numbers are multiplied by a number starting from 3 to 6.
<u>Given</u>:
The height of an object project upward is given by the polynomial

where t represents the time, in seconds.
We need to determine the height after t = 2.5 seconds.
<u>Height of an object:</u>
The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;

Simplifying, we get;



Thus, the height of an object is 140 feet.