Answer:
m = 5
Step-by-step explanation:
Since the points are collinear, they all lie on the same line and have the same slope between them.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)
m = 
= 
= 3
Now calculate the slope using 2 other points and equate to 3
(x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (m, 12)
m = 
= 
= 3 ( multiply both sides by m - 3 )
6 = 3(m - 3) ← divide both sides by 3
2 = m - 3 ( add 3 to both sides )
5 = m
Answer:
-0.75
Step-by-step explanation:
As it is a rectangle....
therefore Area of rectangle
LB
13*10. (here star means multiplication)
130
perimeter of rectangle
2(l+b)
2(13+10)
2*23
46m
1. substitution....because it would be easier to just sub one y in for the other then it would be to use the elimination method
2. substitution....because in one of the equations, u already have y...so just sub 6x - 13 in for y in the other equation
3. elimination....all u have to do is add them and ur y terms are eliminated, allowing u to find x
4. substitution....sub in x + 1 for y in the other equation
2x + 4(x + 1) = 28 y = x + 1
2x + 4x + 4 = 28 y = 4 + 1
6x = 24 y = 5
x = 4
the solution for this system is : (4,5)
5. elimination..
3x - y = -1 3(-2) - y = -1
2x + y = -9 -6 - y = -1
------------------add -y = -1 + 6
5x = -10 -y = 5
x = -2 y = -5
the solution to this system is : (-2,-5)
6. substitution.....sub in one y for the other
2/3x - 1 = -x + 4 y = -x + 4
2/3x + x = 4 + 1 y = -3 + 4
5/3x = 5 y = 1
x = 5 * 3/5
x = 3
so the solution to this system is (3,1)
7. substitution...sub one y in for the other
296 - 10x = 200 + 6x y = 200 + 6(6)
296 - 200 = 6x + 10x y = 200 + 36
96 = 16x y = 236
6 = x
so the solution for this system is (6,236)
The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.
75^2-18^2=a^2
75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.
the square root of 5301 is 72.8079666, rounding to 72.8.
