Answer:
B
Step-by-step explanation:
when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.
7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points ![(3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)](https://tex.z-dn.net/?f=%283%2C%20%5C%3A4%29%20%3D%20%28x_1%2C%5C%3Ay_1%29%5C%3Aand%5C%3A%20%289%2C%202%29%3D%28x_2%2C%5C%3Ay_2%29)
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:
![y-y_1 =m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%20%3Dm%28x-x_1%29)
Plugging the values of
in the above equation we find:
![y-4 =-\frac{1}{3}(x-3)](https://tex.z-dn.net/?f=y-4%20%3D-%5Cfrac%7B1%7D%7B3%7D%28x-3%29)
![\implies 3y-12 =-x+3](https://tex.z-dn.net/?f=%5Cimplies%203y-12%20%3D-x%2B3)
![\implies x+ 3y =12+3](https://tex.z-dn.net/?f=%5Cimplies%20x%2B%203y%20%3D12%2B3)
![\implies \huge {\orange{\boxed{x+ 3y = 15}}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%20%7B%5Corange%7B%5Cboxed%7Bx%2B%203y%20%3D%2015%7D%7D%7D)
This is the required equation of line in the form ![\red{\bold{ax + by = c}}](https://tex.z-dn.net/?f=%5Cred%7B%5Cbold%7Bax%20%2B%20by%20%3D%20c%7D%7D%20)
Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
Hello from MrBillDoesMath!
Answer:
7/3 and 14/3 inches
Discussion:
Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and
P1 + P2 = 7 => as P2 = 2 P1
P1 + 2P1 = 7 =>
3P1 = 7 => divide both sides by 7
P1 = 7/3
Then P2 = 2 P1 - 2* (7/3) = 14/3
Thank you,
MrB
A points location will change after you add a negative value to the y coordinate even if you leave the x coordinate the name because you are changing the value of the y coordinate. For example, if you have (4,6) as a coordinate and then change it to (4,-6), the coordinate will now just be on the other side of the x axis