Answer:

Step-by-step explanation:
We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).
Note that x=1 is a <em>vertical line </em>since x is 1 no matter what y is.
This means that if our new line is perpendicular to the old, then it must be a <em>horizontal line</em>.
So, since we have a horizontal line, then our equation must be our y-value of our point.
Our y-coordinate of our point (8,-9) is -9.
Therefore, our equation is:

And this is in standard form.
And we're done!
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 23°
Opposite Leg = <em>x</em>
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [sine]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

- Round:

Answer:
There should be 2 teachers and 21 students on each bus.
Step-by-step explanation:
Answer:
11 feet
Step-by-step explanation:
Squares have the same length and width. So you just take the square root of teh area to find both.
√121 = 11
Answer:
The number of ways he can elect the president,the vice President and the secretary is 1320 ways
Step-by-step explanation:
This is a permutation question.
Any of the 12 members can be the President , when this is done, any of the remaining 11 can be the vice president ,when this is done, any of the remaining 10 can be the secretary.
The required number of ways is;
12*11*10= 1320ways