Answer:
plug each half of the ordered pair into the variable term. (x,y)
Step-by-step explanation:
For example (---,20) y=5x 20=5x divide by 5 on both sides 20/5= 4 x=4
Answer:
The relationship is proportional for the turtle and the equation is Distance = 54*Time
Step-by-step explanation:
Turtle’s run:
Distance (meters) | Time (minutes)
108 | 2
405 | 7.5
540 | 10
1768.5 | 32.75
Rabbitt’s run:
Distance (meters) | Time (minutes)
800 | 1
900 | 5
1107.5 | 20
1524 | 32.5
The relationship between distance traveled and time is proportional if this equation is satisfied:
Distance = k*Time or k = Distance/Time
where k is a constant
For the turtle:
108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54
Then, the relationship is proportional and the equation is Distance = 54*Time
For the rabbit:
800/ 1 = 800
900/5 = 180
1107.5/20 = 55.375
1524/32.5 = 46.89
Then, the relationship is not proportional.
Answer:
20 feet
Step-by-step explanation:
Consider the given pictorial representation below,
The Height of the Pole =|AB|
The Height of the Person =|DE|
Shadow cast by the Pole =|AC|
Shadow cast by the Person =|EC|
Triangles ABC and DEC are similar triangles therefore,
Cross multiplying
x X 1.5 = 6 X 5
x=30/1.5 =20 feet
Height of the flag pole = 20 feet
<span>25p+18 (p+4)
= 25p + 18 p + 72
=43p + 72</span>
Answer:
2 m
Step-by-step explanation:
First we need to calculate the actual area of the garden:
Area = 16 * 8 = 128 m2
If the new area is 240 m2 and we call the width of the pathway 'w', we have that:
New area = (16+2w) * (8+2w) = 240
128 + 48w + 4w^2 = 240
4w^2 + 48w - 112 = 0
w^2 + 12w - 28 = 0
Delta = 12^2 + 4*28 = 256
sqrt(Delta) = 16
w1 = (-12-16)/2 = -14 m (not a valid width)
w2 = (-12+16)/2 = 2 m
