Answer:
neither
Step-by-step explanation:
parallel lines will have the same number next to the x
perpendicular lines will have the negative reciprocal number next to the x
(for example 2 and -1/2 are negative reciprocals)
y−4=3(x+5)
parenthesis first
y−4=3x+15
y=3x+19
y+3= −13(x+1)
y+3= −13x−13
y= −13x−16
3x and −13x are neither the same nor negative reciprocals of each other so
the answer is neither
Answer:
Time it took for the walker to land on net = 1.75 seconds
Step-by-step explanation:
Given:
Height above the ring as a function of time is give as:
![h(t)=60-16t^2](https://tex.z-dn.net/?f=h%28t%29%3D60-16t%5E2)
Height of the tightrope walker after he falls = 11 feet
Plugging the height in order to find the time it took for the walker to land on net.
![11=60-16t^2](https://tex.z-dn.net/?f=11%3D60-16t%5E2)
Adding
to both sides.
![11+16t^2=60-16t^2+16t^2](https://tex.z-dn.net/?f=11%2B16t%5E2%3D60-16t%5E2%2B16t%5E2)
![11+16t^2=60](https://tex.z-dn.net/?f=11%2B16t%5E2%3D60)
Subtracting both sides by 11.
![11-11+16t^2=60-11](https://tex.z-dn.net/?f=11-11%2B16t%5E2%3D60-11)
![16t^2=49](https://tex.z-dn.net/?f=16t%5E2%3D49)
Dividing both sides by 16.
![\frac{16t^2}{16}=\frac{49}{16}\\\\t^2=\frac{49}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B16t%5E2%7D%7B16%7D%3D%5Cfrac%7B49%7D%7B16%7D%5C%5C%5C%5Ct%5E2%3D%5Cfrac%7B49%7D%7B16%7D)
Taking square root both sides.
![\sqrt t^2=\sqrt{\frac{49}{16}}\\\\t=\pm\frac{7}{4}](https://tex.z-dn.net/?f=%5Csqrt%20t%5E2%3D%5Csqrt%7B%5Cfrac%7B49%7D%7B16%7D%7D%5C%5C%5C%5Ct%3D%5Cpm%5Cfrac%7B7%7D%7B4%7D)
Since time is always positive
∴ ![t=\frac{7}{4} = 1.75 \ seconds](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B7%7D%7B4%7D%20%3D%201.75%20%5C%20seconds)
∴ Time it took for the walker to land on net = 1.75 seconds
Answer:
1800 Dollars
Step-by-step explanation:
If a 700 dollar tv is 250 dollars more than a quarter the cost of another tv, that means that 700 - 250 = 450, which multiplied by 4 equals 1800 which would be the price of the tv
Answer:
Part A, the tickets sold depends on the temperature
Part B, the monthly payments depends on the age of the person
Part A, tickets are the dependent variable, the temperature is the independent
Part B, the monthly payments are the dependent variable, the age of the person is the independent variable
Answer:
(7, 5)
Step-by-step explanation:
AC is the resultant. Point C is 7 units right and 5 units up from point A. If those are what go in your boxes, the resultant is ...
![\displaystyle\left(\,7\,\above\,5\,\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%28%5C%2C7%5C%2C%5Cabove%5C%2C5%5C%2C%5Cright%29)
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<em>Comment on the question</em>
Vectors can be represented a number of different ways. Components can be given in rectangular or polar form, and the presentation can be made as a row vector, column vector, sum of orthogonal unit vectors, and other ways. We assume this is supposed to be a column vector of the form ...
![\displaystyle\left(x\above y\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cleft%28x%5Cabove%20y%5Cright%29)