Answer:
the last one
Step-by-step explanation:
because the distance/length formula is applied here so you just need to rearrange the coordinates in to the formula
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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The number of game the softball team lose is 47 games.
<h3 /><h3 /><h3>The softball team played 149 games. </h3>
Total games played = 149 games
The team won 8 more than two times the number of games they lost.
Let
the number of games they lost = x
Therefore,
- number of game won = 8 + 2x
The number of game they lose can be calculated as follows:
8 + 2x + x = 149
8 + 3x = 149
3x = 149 - 8
3x = 141
x = 141 / 3
x = 47
Therefore, the team lost 47 games.
learn more on algebra here: brainly.com/question/14406047?referrer=searchResults
Answer:
22.5 miles per hour
Step-by-step explanation:
<u>Given system of equations</u>
5(s-w)=900
4(s+w)=900
<u />
<u>Set equations equal to each other</u>
5(s-w)=4(s+w)
5s-5w=4s+4w
s-5w=4w
s=9w
<u>Solve for w using the substitution s=9w</u>
4(s+w)=900
4(9w+w)=900
4(10w)=900
40w=900
w=22.5
Therefore, the speed of the wind is 22.5 miles per hour
