Answer:
x = 4
Step-by-step explanation:
divide both sides by 5
- 2x + 5 = 13 subtract 5 from both sides
- 2x = 8 divide both sides by 2
- x = 4
Find the slope of the line y = 5x + 4.
1 answer:
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Answer:
Time (secs) => distance (ft)
1 => ⅔
15 => 10
24 => 16
45 => 30
Step-by-step explanation:
Equation to represent this proportional relationship is , where,
t = time
d = distance
k = constant of proportionality
To complete the table, let's find k given that the turtles swarm 16 ft (d) in 24 secs (t).
Substitute d = 16, t = 24 into the equation.
(division property of equality)
Let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:
For 1 sec, let's find distance (d):
d = ⅔ ft
For 10 ft, let's find the time (t) taken:
Multiply both sides by 3
Divide both sides by 2
t = 15 secs
For 45 secs, let's find distance (d):
d = 30 ft
To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)