Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5x + 10 = x - 0.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x </em>on both sides: 1.5x + 10 = -0.5
- Subtract 10 on both sides: 1.5x = -10.5
- Divide both sides by 1.5: x = -7
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 2.5(-7) + 10 = -7 - 0.5
- Multiply: -17.5 + 10 = -7 - 0.5
- Add/Subtract: -7.5 = -7.5
And we have our answer!
Answer:
intercept 
line 
Step-by-step explanation:
Let
is the required line.
<u>Slope of perpendicular lines :</u> If
and
be slope of two perpendicular lines. Them 
is perpendicular to 
the slope of
is 

Hence eqn is 
This equation passes through 

so the line is 
<u>y-intercept :</u>
Substitute 

Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.
For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3
We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3
So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3
<span>

</span>
1 foot is shorter that 20 centimeters
The answer is the first one:
bc its not growing by a (-)1/2 and the 3rd one just doesnt make sense