X=area of the country A
y=area of the country B
we saggest this system of equations:
x+y=178,973
x=y+373
we solve this system of equations by substitution method.
(y+373)+y=178,973
2y=178,973-373
2y=178600
y=178,600/2=89,300
x=y+373
x=89300+373=89,673
answer:
area of the country A=89,673 Km²
area of the country B=89,300 Km²
To check
The combined land area of the countries A and B is =89,673 Km²+89,300 Km²=178,973 Km²
Country A (89,673 Km²) is 373 Km² more larger than country B (89,300 Km²).
89,673 Km²=89,300 Km²+373 Km²
Answer:
C, E
Step-by-step explanation:
As a rule, these ballistic motion equations are only applicable for heights above the final resting place. Usually, that is the ground (h=0). Time is always measured as a non-negative quantity beginning at the time of launch.
The function is meaningless after the time the object comes to rest on the ground, so the domain of the function extends from 0 until that time.
These considerations allow us to evaluate the offered statements.
A. The domain never includes negative values. (A is not a true statement)
B. The heights are the same at times that are symmetrical around the time of the maximum height. Here, that time is about 1.9 seconds, not 1.5 seconds, so the heights will be different at 1 and 2 seconds after launch. (B is not a true statement)
C. The graph of the function shows the height reaches 0 at about 4.06 seconds, a little after 4 seconds. (C is true)
D. Based on our answer to C, we know t=10 is outside the domain of the function. (D is not a true statement)
E. The value of the function is 20 when t=0, so the function tells us the orange is 20 feet above the ground when it is launched. (E is true)
The true statements are C and E.
Answer:
Number 5 is ' 2(x) + 1 = y '
I dont know how to solve number 6.
Step-by-step explanation:
you take your x variables and compare them to each other and compare them to the y variables. each x variable goes into the y variable 2 times. thats where the 2(x) comes from. then once yiu do that for all your x variables, you must look to see what they have in common. in this case all of them are one digit less than the y value. so you add that to your equation and it become ' 2(x) + 1 = y '
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➷ The graph would translate 3 units to the left
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Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!