I'd say there are two possibilities: the trivial choice of p=1 and starting number 4 (so you're summing one consecutive integer starting from 4), or you choose p = 8 and start from -3, so that all numbers from -3 to 3 simplify and you're left with 4 alone:
The problem does not provide enough information to find a unique value of 'p', the number of consecutive integers that sum up to 4. If we started the series at 1, for instance, 'p' would equal 4 (from 1+2+3+4=10), but if we were only considering positive integers and started the series at 2, 'p' would be 3, and so forth. Therefore, more information would be needed to solve this problem.
The subject of this question is in the domain of mathematics, specifically working with sums of consecutive integers. Based on the information given in the question, we are looking for the number of consecutive integers (or 'p') that add up to 4.
The formula used for the sum of consecutive integers is (n/2) (first number + last number), where n is the number of integers (in this case, 'p').
However, the question doesn't provide enough information to specify unique values for ‘p’. Any single set of consecutive integers that includes 4 (like 1,2,3,4 or -1,0,1,2,3,4,5,6,7,8,9) or the sum of 4 and 0 would satisfy the given condition, so 'p' could have multiple answers depending on the starting point of the series of integers.
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make several different figures that are similar to it.
If she uses the scale factor , will the new shape
that she creates be larger or smaller than the
original? Justify your answer.
b. List two different scale factors Alexa could use to make a smaller shape.
C. List two different scale factors Alexa could use to make a larger shape.
The answers for part [b] and [c] is -
[b] : K = 0.5 and K = 0.7
[c] : K = 2 and K = 3
Scale factor is used to compare 2 quantities, indicating by how much one quantity is greater than the other. It is denoted by K. Mathematically-
K = a/b.
If a coordinate point (x, y) is dilated by a scale factor of [k], then the coordinate point after dilation will be - (kx, ky).
Given is a trapezium as shown in image.
For scale factor [K] greater than zero, the shape will enlarge while if [K] is less than zero, the shape will shrink.
So -
[b] : K = 0.5 and K = 0.7
[c] : K = 2 and K = 3
Therefore, the answers for part [b] and [c] is -
[b] : K = 0.5 and K = 0.7
[c] : K = 2 and K = 3
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Answer:
B. 0.5 and 0.2
C 2 and 3.2
Step-by-step explanation:
because anything lesser than the standard value of one is smaller.
because anything over the standard value of one is larger.