Answer:
Step-by-step explanation:
2x+3y=15
x-3y=18
------------------
x=3y+18
2(3y+18)+3y=15
6y+36+3y=15
9y=15-36
9y=-21
y=-21/9
simplify
y=-7/3
x-3(-7/3)=18
x+7=18
x=18-7
x=11
Answer: x=11, y=-7/3. (11, -7/3).
---------------------------------------------
2x+3y=20
-2x+y=20
----------------
4y=40
y=40/4
y=10
2x+3(10)=20
2x+30=20
2x=20-30
2x=-10
x=-10/2
x=-5
Answer: x=-5, y=10. (-5, 10).
-------------------------------------------
3x-4y=-5
-10x+4y=12
--------------------
-7x=7
x=7/-7
x=-1
3(-1)-4y=-5
-3-4y=-5
4y=-3-(-5)
4y=-3+5
4y=2
y=2/4
simplify
y=1/2
Answer: x=-1, y=1/2. (-1, 1/2).
the correct answer would be -5/12
Answer:
117 degrees
Step-by-step explanation:
Two vertical angles will always equal each other.
So, set up an equation where angle A and angle B equal each other to solve for x:
5x - 3 = 4x + 21
5x = 4x + 24
x = 24
Plug in 24 for x in the expression represent angle A:
5(24) - 3
120 - 3
117
Answer:
The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.
Step-by-step explanation:
Given;
distance measured by odometer in kilometer, = 810 km
distance measured by odometer in miles, = 510 miles
The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;
Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.
Answer:
y = 126.43
Step-by-step explanation:
Essentially what you have is the Cosine(50)
Cos(50) = adjacent / hypotenuse
adjacent = 122
hypotenuse = ?? = y
Solve
Cos(50) = 122/y Multiply both sides by y
y*cos(50) = 122 Divide by cos(50)
y = 122 / cos(50) Find the value of cos(50)
y = 122 / 0.96497 Divide
y = 126.43
