Answer:
The ribbon cost per foot $0.6 per foot
Step-by-step explanation:
Total number of ribbon used = (5.75 + 11.75) = 17.50 feet
17.50 feet of ribbon cost = $10.50
1 foot of ribbon cost = x
Cross Multiply
17.50 × x = 1 foot × $10.50
x = 1 foot × 10.50/17.50
x = $0.6
The ribbon cost per foot $0.6 per foot
We have been given that the slope-intercept form of a linear equation is
, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis. We are asked to solve the equation for slope.
First of all, we will subtract 'b'from both sides.


Let us switch the sides:

Now we will divide both sides by x.


Therefore, the value of m is
.
By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!
The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -
<u><em>Solution = A. True</em></u>
Answer:
(a) 

(b)

Step-by-step explanation:
(a)

Let u = π x
differentiating with respect to x
du = π dx

Putting the value of x and dx

[ c is an arbitrary constant]
Now putting the value of u
(b)

Let 
differentiating with respect to x

2du = dx
Putting the value of x and dx
=
=
Now putting the value of u
[ c is an arbitrary constant]