Answer:
as x increases, y increses
the parabola grows wider and taller, meaning that the y and x values will both increase:)
Answer:
Step-by-step explanation:
There is a typo in the question, the lengths of the sides of the prism are:
24 cm
9 cm
17 cm
(otherwise, if all sides were 9 cm, it would be a cube, not a prism)
The volume of a rectangular prism is given by:
where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
(length)
(width)
(height)
Therefore, the volume of the prism is:
Answer:
x = -6/5
y = -8/5
Step-by-step explanation:
2x + y = -4
Y = 3x + 2
Substitute the second equation into the first equation
2x + 3x+2 = -4
Combine like terms
5x +2 = -4
Subtract 2 from each side
5x+2-2=-4-2
5x = -6
Divide by 5
5x/5 = -6/5
x = -6/5
Now we need to find y
y = 3x+2
y = 3(-6/5)+2
y = -18/5 + 10/5
y = -8/5
Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1) Given.
2) Definition of addition.
3) Distributive property.
4) Definitions of multiplication and decimal number.
5) Definition of division/Associative property.
6) Associative property.
7) Definition of multiplication.
8) Definition of divsion.
9) Defintion of decimal number.
10) Definition of addition/Result
Natalia's work is wrong.
Answer:
7.2 km
Step-by-step explanation:
Given that:
Hours taken = 2 hours
Walk rate = 1 m/s
Distance = Speed * time
Time taken in seconds = 2 * 60 * 60 = 7200 s
Hence,
Distance = 1 m/s * 7200s
Distance = 7200 meters
Distance in km = 7200 / 1000 = 7.2 km