Answer:
There present ages are
Drex age = 17 years
Max age = 12 years
Step-by-step explanation:
Given as ,
The sum of age of Drex and Max = 29 years
And seven years ago Drex was twice as old as max
So , Let the Age of Drex = D and Max age = M
I.e (D - 7 ) = 2 (M - 7)
Or, D - 7 = 2M - 14
Or, 2M - D = 7
And Also D + M = 29
So , from both equations
(2M - D ) + (D + M) = 29 +7
Or, 3M = 36
I.e M = = 12 years
∴ The Age of Drex = 29 - M
The Age of Drex = 29 - 12 = 17 years
Hence there present ages are
The Age of Drex = 17 years
The Age of Max = 12 years Answer
Q6.
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have: slope m = 3, y-intercept (0, 4) → b= 4
<h3>Answer: y = 3x + 4</h3>Q7.
2x + 4y = 4 |subtract 2x from both sides
4y = -2x + 4 |divide both sides by 4
y = -0.5x + 1
Only second graph has y-intercept = 1.
<h3>Answer: The second graph.</h3>Q8.
The point-slope form:
We have
Substitute:
Q9.
It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.
<h3>Answer: x = -4</h3>A. The equation to find the distance of the flowerbed from the hive is: , where x is the distance.
B. The flowerbed is 2250 feet far from the hive.
<u><em>Explanation</em></u>
Suppose, the distance of the flowerbed from the hive is feet.
The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.
As,
So, the time taken by the bee to reach the flowerbed seconds and the time taken to fly back to the hive
seconds.
The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.
So, the equation will be.......
Thus, the distance of the flowerbed from the hive is 2250 feet.