Answer:
The answer is
<h2>9.4 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-6, -5) and (2, 0)
The distance between them is

We have the final answer as
<h3>9.4 units to the nearest tenth</h3>
Hope this helps you
<u>Corrected Question</u>
Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. James makes a total of $816 per year. How much less each month does James make than Matt? Solve the linear equation to find the value for x
. Remember that x represents how much less per month James makes than Matt
Equation: 12(80 – x) = 816
Answer:
x=$12
Step-by-step explanation:
To solve the given equation
12(80 – x) = 816
First, we distribute:
960-12x=816
Collect like terms
12x=960-816
12x=144
Divide both sides by 12
x=12
Therefore, James makes $12 less than Matt every Month.
Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,

As they played 2 games with every other participant in the tournament.
So the total number of games is,

But it is given to be 20, so





As
, so we get n=5.
Therefore, 5 players participated in the tournament.
Step-by-step explanation
b = 2h is given
2 b + h = 4 hours is given sub in the top equation
2 (2h) + h = 4
5h = 4
h = 4/5 hr or 48 minutes
<span>Area = (1/2)(533 ft)(525 ft) sin(53) = 111739 square feet</span>