Answer:
Part A) The system of equations is equal to
Part B)
The length is 
The width is 
Step-by-step explanation:
Part A)
we know that
The perimeter of the triangle is equal to the sum of the length of its three sides
In this problem
-----> equation A
The perimeter of rectangle is equal to
In this problem
------> equation B
Part B)
Using a graphing tool
Solve the system of equations
We know that
The intersection point both graphs is the solution of the system of equations
The intersection point is 
see the attached figure
step 3
Find the length and width of the rectangle
The length is 3x
The width is 7y
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Answer:
I dont know much about algebra but I know,
1 plus 1 equals two ♀️
Answer:
Step-by-step explanation:
1. Subtract 10 from both sides. Then:
2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:
3. Add 22 to both sides. Then:
4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:
5. Subtract 30 from both sides. Then:
6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
7. Subtract 13 from both sides. Then:
8. Add 12 to both sides. Then:
Answer:
X = 5 2/3
Step-by-step explanation:
1/3 (x - 10) = - 4
- 1/3 - 1/3
(x - 10) = - 4 1/3
+ 10 + 10
x = 5 2/3
