Answer:
Image attached
Step-by-step explanation:
The question asks to represent the position of two animals in a the cartesian coordinates plane. This is two perpendicular axis, the y-axis is the vertical one and the x-axis is the horizontal one. The animals are represented by dots, called a for the seagull and b for the shark.
Since the y-axis is the vertical axis and they ask to draw the points with a verical difference between them, we will draw the points in it.
Say the x-axis represents the sea surfice. The seagull would be over the sea, and the shark under the sea surfice (under x-axis).
This is the resulting drawing
Answer:
39 ft
Step-by-step explanation:
40 feet would have been if the perimeter was 160ft. so since it has to be less than 160 the maximum (whole number) length of a side would be 39.
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Answer:
4) 430.8 centimiters
Step-by-step explanation:
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
