The first thing you want to do is plug in x and y into both equations:
a(3) + b(4) = 4
b(3) + a(4) = 8
rearrange to line up a’s and b’s
3a + 4b = 4
4a + 3b = 8
now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.
4(3a + 4b = 4) = 12a + 16b = 16
3(4a + 3b = 8) = 12a + 9b = 24
Now we subtract the bottom equation from the top and solve for b:
12a + 16b - (12a + 9b) = 16 - 24
7b = -8
b = -8/7
Now we plug back in for b to one of the original equations:
3a + 4(-8/7) = 4
3a + (-32/7) = 4
3a - (32/7) = 4
3a = 4 + (32/7)
3a = (28/7) + (32/7)
3a = 60/7
a = (60/7)/3 = 20/7.
Finally, plug a and b in together to double check using the second equation.
4a + 3b = 8
4(20/7) + 3(-8/7) = ?
(80/7) - (24/7) = ?
56/7 = 8.
Answer:
0.16666666666
Step-by-step explanation:
Well, first you would estimate all the terms: 10.2 to 10, 2 to 2(keep the same), 3.7 to 4, and eight to eight.
So you have 10 x [(2 x 4) + 8]
then you would evaluate this expression using order of operations
10 x [(2 x 4) + 8]
10 x [8 + 8]
10 x 16
160
The answer is 24. think of x as the original amount, and y as the new
amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y,
which is what we need, and you have x/1.5 = y as well as x-12 = y. Use
the equal values method and make an equation x/1.5=x-12. solve this
equation to get x, which is 36. to figure out the new amount, y, you
need to subtract 12, which would help you get 24 as your final answer.
I added a screenshot with the complete question along with its diagram.
Answer:vertical height is approximately 260 ft
Explanation:We can note that the sea level, vertical height and the distance traveled by the rocket all form a right angled triangle.
This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
From the given we have:
θ = 60°
opposite is the vertical height that we want to find
hypotenuse = 300 ft
Applying the sin function, we can get the vertical height as follows:
sin (60) = opposite / 300
opposite = 300 * sin (60)
opposite = 259.807 which is approximately 260 ft
Hope this helps :)