Answer <u>(assuming it is allowed to be in point-slope format)</u>:
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, 
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since 
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be 
.
2) Now, use the point-slope formula, 
to write the new equation with the given information. Substitute 
, 
, and 
for real values.
The represents the slope, so substitute in its place. The and represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for and 4 for . This gives the following equation and answer:
<h3>
Answer: B. All real numbers</h3>
Work Shown:
2(3c+3) < 6c+9
6c+6 < 6c+9 .... distribute
6c+6-6c <6c+9-6c .... subtract 6c from both sides
6 < 9 ... note the c terms go away entirely
We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.
The mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
<h3>How to use mathematical word to describe an expression</h3>
The mathematical expression is 27x + 6x.
Mathematical expression are combinations of numbers and variables ordered with operations.
Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).
For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.
This simply implies both terms are summed together to give the expression 27x + 6x.
Therefore, the mathematical word describing both 27x and 6x in the expression is "addition" or "sum"
learn more on mathematical expression here: brainly.com/question/26848264
Answer: 26!!
Step-by-step explanation: the average is like the mean which is all 4 numbers added together divided by 4. 26 times 4 is 104. 20 +42+16 = 78. 104 - 78 is 26 so the 4th number is 26. you can check the work by adding 20 42 16 and 26 together which equals 104. 104 divided by 4 is 26!! so our answer is correct!!
