Set up a system of equations:
2x+3y=6
x-3y=9
You can solve this with elimination by adding the two equations together:
3x+0y = 15
3x=15
x=5
Then, plug this value back into either of the original equations to find the y value:
5-3y=9
-3y=4
y= -4/3
The point of intersection is (5,-4/3)
Answer:
it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d
Answer:
Step-by-step explanation:
If she travels by air, she will be able to work seven hours in D.C. work four hours once there. Her expected income from each hour of work in D.C. is $40. This means that the total amount that she earns in 7 hours would be
40 × 7 = $280
if she drives, she will only have time to work four hours once there. This means that the total amount that she earns in 4 hours would be
40 × 4 = $160
The difference in both amounts would be
280 - 160 = $120
she will chose to fly if and only if the price differential (air cost minus driving cost) is less than $120
Answer:
The value of the hypotenuse is 69.77 meters.
Step-by-step explanation:
To determine, in triangle RG, the value of its hypotenuse if its sides measure 63 meters and 30 meters, the following calculation must be performed, applying the Pythagorean theorem:
63 ^ 2 + 30 ^ 2 = X ^ 2
3969 + 900 = X ^ 2
√ 4869 = X
69.77 = X
Therefore, the value of the hypotenuse is 69.77 meters.
Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9