Answer:
y = - 
x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = - x + 8 ← equation of perpendicular line
If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.
Let the total number of games played by Perry be x.
It is given that, Salazar played 13 more tennis games than Perry.
⇒ Total games played by Salazar = x + 13
Also, Salazar and Perry played a combined of 53 games.
Hence, total number of tennis games played by Salazar and Perry = 53
⇒ Games played by Salazar + Games played by Perry = 53
⇒ x + (x + 13) = 53
2x + 13 = 53
2x = 53 - 13
2x = 40
x = 40 / 2
x = 20
Therefore, total number of games played by Salazar = x+13
= 20 + 13
= 33
Thus, Salazar played total 33 games.
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9514 1404 393
Answer:
see attached
Step-by-step explanation:
The pair of inequalities is graphed in the attachment.
The first inequality graphs as a shaded area below the dashed line y=-x+5.
The second inequality graphs as a shaded area below the solid line y=2x-1.
The solution set is the doubly-shaded area below the point where the lines intersect.
Answer:
3 inches
Step-by-step explanation:
It is 3 inches as seen in the square boxes within the big square
The opposite on number line means is that the value of one number will be opposite to that. For example, there is number 4 on the number line, the opposite number of it will be -4. Furthermore, if there is -5 the opposite of it will be 5. Hope it help!
