Answer:
is not possible
Step-by-step explanation:
<u><em>The question in English is</em></u>
we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?
we know that
The formula to calculate the slope between two points is equal to

step 1
Find the slope ab
we have
a = (12 ,21) and b =(17,23)
substitute


step 2
Find the slope ac
we have
a = (12 ,21) and c =(3,9)
substitute


simplify

step 3
Compare slopes ab and ac
The slopes are different
That means ----> is not possible that a single road allows to join these three points
The solution to the system of equations is x = 3 and y = 10
<h3>How to solve the equations?</h3>
The system is given as:
2x-2y=-14
3x-y=-1
Multiply (1) by 1 and (2) by 2
So, we have:
1(2x-2y=-14)
2(3x-y=-1 )
This gives
2x - 2y=-14
6x - 2y=-2
Subtract the equations
-4x = -12
Divide by -4
x = 3
Substitute x = 3 in 3x-y=-1
3(3)-y=-1
Evaluate
9 - y = -1
Solve for y
y = 10
Hence, the solution to the system of equations is x = 3 and y = 10
Read more about system of equations at:
brainly.com/question/12895249
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Answer:
13 white cars
Step-by-step explanation:
Let us represent:
Number of
Red cars = x
Blue cars = y
White cars = z
Sharon has 23 toy car that are colored red, blue, and white.
x + y + z = 23
x = 4
2 fewer blue cars than red
y - 2 = x
y - 2 = 4
y = 4 + 2
y = 6
Hence,
x + y + z = 23
4 +
Number of white cars is calculated as:
23 - (6 + 4)
23 - 10
= 13 white cars
Answer:
y=1
Step-by-step explanation:
Answer: 2x^2 -16t
25t -20
Step-by-step explanation:
Multiply the corresponding terms to find out which answer belongs in each box. For the top left box you would multiply 5t x 4t = 20t^2. For the top right multiply -4 x 4t = -16t. For bottom left box multiply 5t x 5 = 25t and for the bottom right box multiple -4 x 5 = -20.