Answer:
Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.
The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:
a + b > c; a + c > b; b + c > a
Given a triangle with side length 4 m, 8 m, 9 m:
4m + 8m = 12m > 9m
4m + 9m = 13m > 8m
8m + 9m = 17m > 4m
Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.
It should be 21 20. Sorry if I got it wrong
Answer:
The solution of the system of equations is (11, 12)
Step-by-step explanation:
∵ The price of each student ticket is $x
∵ The price of each adult ticket is $y
∵ They sold 3 student tickets and 3 adult tickets for a total of $69
∴ 3x + 3y = 69 ⇒ (1)
∵ they sold 5 student tickets and 3 adults tickets for a total of $91
∴ 5x + 3y = 91 ⇒ (2)
Let us solve the system of equations using the elimination method
→ Subtract equation (1) from equation (2)
∵ (5x - 3x) + (3y - 3y) = (91 - 69)
∴ 2x + 0 = 22
∴ 2x = 22
→ Divide both sides by 2 to find x
∵ 
∴ x = 11
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(11) + 3y = 69
∴ 33 + 3y = 69
→ Subtract 33 from both sides
∵ 33 - 33 + 3y = 69 - 33
∴ 3y = 36
→ Divide both sides by 3
∵ 
∴ y = 12
∴ The solution of the system of equations is (11, 12)
Answer:
The answers are that the x-coordinate is 3, the y-coordinate is 4 and it is in quadrant I
Step-by-step explanation:
To find these answers, start by solving the system. We can do this by multiplying the second equation by 2 and adding them together.
8x + 6y = 48
4x - 6y = -12
-------------------
12x = 36
x = 3
Next, find the y value by plugging in the x value to either equation and solving.
2x - 3y = -6
2(3) - 3y = -6
6 - 3y = -6
-3y = -12
y = 4
