Step-by-step explanation:
First, find the vector.
= (4,2) - (-3,5)
= (4-(-3),2-5)
= (7,-3)
And then, find the distance.
= √(7² + (-3)²)
= √(49 + 9)
= √58 ✓
A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).
Answer: the answer is x=36
Step-by-step explanation:
Simplify \frac{1}{8}(x-4)
8
1
(x−4) to \frac{x-4}{8}
8
x−4
.
-\frac{x-4}{8}=-4
−
8
x−4
=−4
2 Multiply both sides by 88.
-x+4=-4\times 8
−x+4=−4×8
3 Simplify 4\times 84×8 to 3232.
-x+4=-32
−x+4=−32
4 Regroup terms.
4-x=-32
4−x=−32
5 Subtract 44 from both sides.
-x=-32-4
−x=−32−4
6 Simplify -32-4−32−4 to -36−36.
-x=-36
−x=−36
7 Multiply both sides by -1−1.
x=36
x=36
Answer:
The team won 32 games.
Step-by-step explanation:
x = games won
y = games lost
z = total games = 40
x = 4y <em>Won 4 times as many games as it lost</em>
x + y = 40 <em>Games won + games lost = Total games played</em>
4y + y = 40 <em>Sub 4y in for x, as established previously</em>
5y = 40
y = 8
x = 4y
x = 4(8)
x = 32
The team won 32 games.
Answer:
about 10 my boy
Step-by-step explanation:
big big big
