Can we see an attachment of the problem?
Answer:
An arithmetic sequence is a sequence in which the difference between successive terms in the sequence can be gotten by either adding or subtracting a particular number. This number is called the common difference
Answer:
114 square meters
Step-by-step explanation:
The figure decomposes into two congruent trapezoids, each with bases 15 m and 4 m, and height 6 m. The area formula for a trapezoid is ...
A = 1/2(b1 +b2)h
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Each trapezoid will have an area of ...
A = 1/2(15 +4)(6) = 57 . . . . square meters
The figure's area is twice that, so is ...
figure area = 2 × 57 m² = 114 m²
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of 
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by 
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
