Answer:
The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.
Step-by-step explanation:
The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.
Now, factorizing the expression for the area we get,
A = 1900 + 76x
⇒ A = 76(25 + x)
Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)
1. the pitcher is full because it can hold 1 liter, which is 1000ml and 500+400=900 so there would be 100ml before it would overflow.
2. Grant uses 3000ml of ginger, since 3g=3000ml.
3.<
4.>
5.=
6. 4L = 4000ml
9L = 9000ml
7. 6g = 6000mg
11g = 11000mg
8. 5kg = 5000g
17kg = 17000g
hope that helps!
Answer:
The difference quotient for
is
.
Step-by-step explanation:
The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

So, for the function
the difference quotient is:
To find
, plug
instead of 

Finally,


The difference quotient for
is
.
Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4