17.50-14=3.50$
17.50 + 3 toppings = 20$ is the answer
HOPE IT HELP!!!!!!
The coordinates of Δxyz ⇒⇒ x(1,1) y(2,3) z(3,2)
The coordinates of Δx'y'z' ⇒⇒ x'(2,-2) y'(4,2) z'(6,0)
1. Applying the transformation of the first sentence on Δxyz
The results are ⇒⇒⇒ (2,-2) (4,2) (6,0)
2. Applying the transformation of the second sentence on Δxyz
The results are ⇒⇒⇒ (12,14) (24,38) (36,28)
3. Applying the transformation of the third sentence on Δxyz
The results are ⇒⇒⇒ (12,-36) (24,-12) (36,-24)
4. Applying the transformation of the fourth sentence on Δxyz
The results are ⇒⇒⇒ (2,-6) (4,-2) (6,-4)
By comparing the results obtained with the coordinates of Δx'y'z'
So, the correct answer is the first sentence.
<span>dilation with respect to the origin by a scale factor of 2 followed by a translation of 4 units down</span>
The perimeter of the large triangle = 2 * perimeter of the small one so:-
2x + 4x + 2(4x + 1) = 62
14x = 60
x = 4 2/7 answer
Answer:
Step-by-step explanation:
7.5% would be 405. Honestly to find it quickly, i took 10% of 5400,which is 540 and divided that by 4 to get 135 and multiply that by 3 to get 7.5%, which is 405 increase. to get the money total add 405 to 5400 to get 5805
Answer:
z = -12
Step-by-step explanation:
The given system of equations is:
xy/(x + y) = 1 ...........................(1)
xz/(x + z) = 2...........................(2)
yz/(y + z) = 3...........................(3)
From (1): x + y = xy
=> y = xy - x
y = x(y - 1)
x = y/(y - 1).......................................(4)
From (2): 2(x + z) = xz
=> 2x + 2z = xz
2x = xz - 2z
2x = z(x - 2)
z = 2x/(x - 2) ....................................(5)
From (3): 3(y + z) = yz
=> 3y + 3z = yz
3y = yz - 3z
3y = z(y - 3)
z = 3y/(y - 3)....................................(6)
Comparing (5) and (6)
2x/(x - 2) = 3y/(y - 3)
2x(y - 3) = 3y(x - 2)
2xy - 6x = 3xy - 6y
6(y - x) = xy .................................(7)
But from (1): xy = x + y
Using this in (7), we have
6(y - x) = x + y
6y - y - 6x - x = 0
5y - 7x = 0
5y = 7x
x = 5y/7................................................(8)
Using this in (4)
5y/7 = y/(y - 1)
1/(y - 1) = 5/7
(y - 1) = 7/5
y = 1 + 7/5
y = 12/5..........................................(9)
Using this in (8)
x = 5(12/5)/7 = 12/7 .......................(10)
Using (10) in (5)
z = 2x/(x - 2)
z = 2(12/7) ÷ (12/7 - 2)
= 24/7 ÷ -2/7
= 24/7 × (-7/2)
= -24/2 = -12
z = -12.
