Answer:

Step-by-step explanation:
Arranging the given equation in slope-intercept form ( y = mx + b ):

<em>We know that the perpendicular line would have a slope (m) that is </em><em>negative reciprocal </em><em>of this (
). Thus we can write the perpendicular line's equation as
. </em>
<em />
<em>Now putting x = 4 and y = -6 into the equation, we can solve for b:</em>
<em>
</em>
<em />
Thus, the equation of the perpendicular line is 
Answer:
a) The arithmetic sequence with common difference 2 that has 8 as the first term.
b) The arithmetic sequence of common difference -5 and first term 15.
Step-by-step explanation:
Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:
8, and (8+2) = 10 Therefore the second term is 10.
Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:
15, and (15 - 5) = 10. Therefore again a 10 as second term.
<u>Answer:</u>
The area of one side of a disc is 314 square inches
<u>Explanation:</u>
Given the radius of the disc is 10 inches
The disc is in circular shape and the area of a circle is determined by
A =
, where
A is the area and r is the radius and π = 3.14
Substituting values in the formula,
A = 
A =
= 341 sq. inches
Therefore, the area of one side of a disc is 314 square inches
To write an equation to represent a given information, the equations are to
expresses the information conveyed in the situation.
The two equations that represent the given information are;
- <u>5.6·x + 4·y = 133.6</u>
Reasons:
The given information are;
Mass of the large boxes = 5.6 kg
Mass of the small boxes = 4 kg
Number of boxes delivered = 25 boxes
Total mass of the boxes delivered = 133.6 kg
Number of the 5.6 kg box delivered = x
Number of the 4 kg boxes delivered = y
Required:
To form two equations in terms of <em>x</em> and <em>y</em> to represent the situation.
Solution:
The two equations are;
- The number of boxes delivered = <u>x + y </u><u>= 25</u>
- Total weight of the boxes delivered = <u>5.6·x + 4·y </u><u>= 133.6</u>
<em>Solving the above equations with a graphing calculator gives;</em>
<em />
Learn more about writing equations here:
brainly.com/question/15790322
Answer:
the answer is 103!
Step-by-step explanation:
Hope this helps :)