Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)
Pick any two corresponding points from the table
So, we have:
So:
The linear equation is then calculated using:
This gives:
Open bracket
To get the length closest to 4.2lb,
we set
Then solve for x
So, we have:
Collect like terms
Solve for x
For this case we have that by definition of power properties it is fulfilled that:
Then, if we have the following expression:
Applying the property, we can rewrite the expression as:
Answer:
The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are ,
and
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where ,
and
Substituting these values in the above formula, we get,
Simplifying the values, we get,
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
Given:
The equation of a line is:
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
Subtracting 4 from both sides, we get
Therefore, the equation of the required line is .