Answer:
y = - 
x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = - x + 8 ← equation of perpendicular line
Answer:
81x^4
Step-by-step explanation:
With exponents, whatever is in the parentheses is multiplied by <u>itself</u> however many times the exponent says.
In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.
3^4 = 81 with x^4 gives you:
81x^4
Hope this helps you :)
Answer:
Step-by-step explanation:
No it isn't, because:
![{1.08}^{ \frac{1}{5} } = { \frac{108}{100} }^{ \frac{1}{5} } = { \frac{27}{25} }^{ \frac{1}{5} } = \sqrt[5]{ \frac{27}{25} } = 1.01551](https://tex.z-dn.net/?f=%20%7B1.08%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%3D%20%20%7B%20%5Cfrac%7B108%7D%7B100%7D%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%3D%20%20%7B%20%5Cfrac%7B27%7D%7B25%7D%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%3D%20%20%5Csqrt%5B5%5D%7B%20%5Cfrac%7B27%7D%7B25%7D%20%7D%20%20%3D%201.01551)
The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.
Car's speed in miles per hour = 54 miles per hour
Recall :
- 1 mile = 5280 feets
- 1 hour = 3600 seconds
Car's rate in feet per second
- 54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.
- Distance in 2 seconds :
- Distance = speed × time
- Distance = 79.2 × 2 = 158.4 feets
Therefore, the car will cover a distance of 158.4 feets in 2 seconds.
Learn more :brainly.com/question/23774048
The answer to this equation is 1.6
