Answer:
See attached image for the drawing of the first four trees (circled in green)
The patterns is:
x = 2+3n and y= 3+2n
Position of 7th tree is: (20,15) (circled in orange in the image)
Step-by-step explanation:
Starting at the location (2,3) the next x and y positions are given by:
x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,
and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration
being n= 1 through 6 (to account for the next 6 trees that need to be planted)
With such pattern, the location of the seventh tree would be:
x = 2 + 3*6 =2 + 18 = 20
y = 3 + 2*6 = 3 + 12 = 15
That is, the point (20,15) on the plane.
Also see attached image.
Answer:
14 and 10
Step-by-step explanation:
The ratio of the 2 numbers = 7x : 5x
The sum of the 2 numbers is 24, hence
7x + 5x = 24
12x = 24 ( divide both sides by 12 )
x = 2
7x = 7 × 2 = 14
5x = 5 × 2 = 10
Thus the numbers are 14 and 10
Answer:
The current intervals for the bins are too wide. Looking at the histogram, it is difficult to draw useful conclusions about the fuel efficiency of the trucks or to see the shape of the data distribution.
Step-by-step explanation:
Here is the Plato answer
angles a and b are supplementary because they form a straight line
Answer:
(-5, 0)
(-1, 0)
Step-by-step explanation:
x-intercepts are points where the graph intersects the x-axis (or when y = 0)
Step 1: Write out function
f(x) = x² + 6x + 5
Step 2: Factor
f(x) = (x + 5)(x + 1)
Step 3: Find binomial roots
x + 5 = 0
x = -5
x + 1 = 0
x = -1
Alternatively, you can graph the function and analyze the graph for x-intercepts: