Well technically the check will not go through because she does not have a balance greater than or equal to $55, but if you need an answer it would be $47-$55= $-8.
The length of the curve 
from x = 3 to x = 6 is 192 units
<h3>How to determine the length of the curve?</h3>
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function
Evaluate
The length of the curve is calculated using:
This gives
![L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx](https://tex.z-dn.net/?f=L%20%3D%5Cint%5Climits%5E6_3%20%7B%5Csqrt%7B1%20%2B%20%5Bx%289x%5E2%20%2B%206%29%5E%5Cfrac%2012%5D%5E2%7D%5C%20dx)
Expand
This gives
Express as a perfect square
Evaluate the exponent
Differentiate
Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
brainly.com/question/14015568
#SPJ1
B) in a function, the output is allowed to be shared…
Answer:
<h2>AAA postulate.</h2>
Step-by-step explanation:
Givens
- Angles KOM and LNM are congruent, because both are right.
- Angle LNM is common to both triangles.
If two internal angles of two triangles are congruent, then the third angle is also congruent.
Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.
Remember that similarity is about proportion between sides and congruence between angles.
9514 1404 393
Answer:
Step-by-step explanation:
You are given the point (x1, y1) = (-2, 7) and slope m = 5, and asked to fill in the blanks in the point-slope form ...
y -y1 = m(x -x1)
Put the numbers in there and you get ...
y -7 = 5(x -(-2))
Simplifying the right side gives you ...
y - 7 = 5(x + 2)
Then the blanks are filled with {-, 7, 5, +, 2}.
