Answer:
4/12 or 1/3
Step-by-step explanation:
Yes it is because 4 times the length of a side of a square equals to the perimeter of the square
Hope this helps!
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-(5y) - y = 18
-6y = 18
y = -3
x = 5(-3)
x = -15
(-15, -3)
5x + 4(-7x - 3) = -35
5x -28x -12 = -35
-23x = -23
x = 1
y = -7(1) - 3
y = -10
(1,-10)
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.)
The rate at which the sound travels in km/hr is 0.142km/hr
<h3>Conversion of m/s to km/hr</h3>
If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;
1hr = 3600secs
1km = 1000m
Using the conversion factor in our dimensional analysis
5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr
5120m/s = 5120m/3600000
5120m/s = 0.142km/hr
Hence the rate at which the sound travels in km/hr is 0.142km/hr
learn more on dimensional analysis here: brainly.com/question/21510595
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