The equations that can be used to find the lengths of the legs of the triangle are as follows:
- 100 = (x + 2)² + x²
- 24 = 0.5 × (x + 2)(x)
- x² + 2x - 48 = 0
<h3>How to find the equation of a right triangle?</h3>
The equation that can be used to find the length of the leg of the right triangle uses Pythagoras theorem,
Therefore,
c² = a² + b²
where
- c = hypotenuse side
- a and b are the other legs
Therefore,
10² = (x + 2)² + x²
100 = (x + 2)² + x²
Therefore, using the area of a triangle,
area of a triangle = 1 / 2 bh
where
Therefore,
area of the triangle = 1 / 2 × (x + 2)(x)
24 = 0.5 × (x + 2)(x)
24 = x² + 2x / 2
cross multiply
48 = x² + 2x
x² + 2x - 48 = 0
learn more on equation here: brainly.com/question/14992132
#SPJ1
Answer: (-infinity,10]
Step-by-step explanation: 50n is less than or equal to 500. So, treat the less than or equal to sign as an equal sign. Then do like regular and divide 500 by 50 to get ten on the right while N stays on the left. To get n is greater than or equal to 10!
Answer: hope this helps love.
Step-by-step explanation:
years of equal population are 1995 and 2022.
in 1995, population was 425,000 people and in 2022, population was 1,910,000 people.
Step-by-step explanation: Baskinville: y = x2 - 22x + 350
Cryersport: y = 55x - 950
Note that x2 is xsquare not x2
Resolving the quadratic equations carefully will give the values of y and x which represent the population and years.
Answer: (7, 20)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>substitution </u>to solve the equations.
Solve:
<u>Given equations</u>
y = 3x - 1
2x + 6 = y
<u>Substitute the y value since both equations has isolated [y]</u>
2x + 6 = 3x - 1
<u>Add 1 on both sides</u>
2x + 6 + 1 = 3x - 1 + 1
2x + 7 = 3x
<u>Subtract 2x on both sides</u>
2x + 7 - 2x = 3x - 2x

<u>Find the value of y</u>
y = 3x - 1
y = 3(7) - 1
y = 21 - 1

Hope this helps!! :)
Please let me know if you have any questions
I would think 5 mins because, when you do 33-15 you get 18, and so it drained 18
cm in 6 mins so, that’s 3 cm per min. So if you do 15/3 you get 5 mins. Hope this is helpful! Sorry if it’s wrong :((