Answer:
Step-by-step explanation:
<u><em> Number </em></u><em> </em><u><em> Estimate using a single digit and power of 10 </em></u>
23,898,497 2 × 10⁷
0.000136 1 × 10⁻⁴
26,857 3 × 10⁴
0.0302 3 × 10⁻²
Answer:
x+120 , if x < -120
x+12 , if x > -12
x+12 , if x < -12
x+12 , if x = -12
x÷3 , if x > 0
x÷3 , if x < 0
Step-by-step explanation:
Well whatever is in the absolute value sign is always positive.
Answer:
The horizontal distance from the center is 49.3883 feet
Step-by-step explanation:
The equation of an ellipse is equal to:

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.
Then, replacing a by 106/2 and b by 33.9, we get:

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

So, the horizontal distance from the center is 49.3883 feet
The answer is in the picture...
Answer:
Step-by-step explanation:
1. Convert to slope intercept form (y=mx+b)
2. Find slope (the 'm' in mx)
3. Find slope of perpendicular line
So for the first question:
Convert to slope Intercept form if necessary:
3x+4y=12
4y=12-3x<<Subtract by 3x
y=3-<u>3/4</u>x<<Divide by 4
Find slope
y=3-<u>3/4</u>x
3/4 is the slope
Find slope of perpendicular line
To find the slope of a perpendicular line, you just have to take the reciprocal of the original slope and take the opposite sign.
Here is what I mean:
3/4<<original slope
4/3<<reciprocal
-4/3<<opposite
So for the first question -4/3 is the answer.
Now you can do the rest! Hope this helps!
(If you have more questions feel free to comment to let me know!)