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nikitadnepr [17]
2 years ago
13

The graph models the linear relationship between the distance traveled and the amount of time it took to get there. What is the

rate of change of the distance traveled with respect to time?
A) 4
B) 1/4
C) 5
D) 1/5
Mathematics
1 answer:
suter [353]2 years ago
6 0

Answer:

4

Step-by-step explanation:

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SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION.<br><br> 1. 2x+3y=1<br> -3x+y=15
ohaa [14]
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6 0
3 years ago
Write the equation in slope-intercept form that contains the following point and is perpendicular to the given line
Len [333]

Answer:

y = 1/4 x -3

Step-by-step explanation:

y = -4x + 3;

the slope of this equation is -4

we want the slope perpendicular to this

take the negative reciprocal

- (-1/4) = 1/4

so the slope of our line will be 1/4

we have the slope and a point so we can use point slope form

y-y1 = m (x-x1)

y--2 = 1/4(x-4)

y+2 = 1/4 (x-4)

we need to change it to slope intercept form (y=mx+b)

distribute

y+2 = 1/4 x -1/4*4

y+2 = 1/4x -1

subtract 2 from each side

y +2-2 = 1/4 x -1-2

y = 1/4 x -3

the slope is 1/4 and the y intercept is -3

8 0
3 years ago
Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
What is this help please ?
stiks02 [169]
|k - 2| * |3k| - 1
Substitute all of the "k" variables for -4
|-4 - 2| * |3(-4)| - 1
Multiply 3 by -4
|-4 - 2| * |-12| -1
Subtract 2 from -4
|-6| * |-12| - 1
Use the absolute value method
6 * 12 - 1
Combine like terms 
Final Answer: 71
5 0
3 years ago
William,Jan and Greg have a total of $26. Greg has the most money. Jan has twice as much money as William. Greg has $11 dollars.
Alexeev081 [22]

Answer:

$10

Step-by-step explanation:

Greg's amount of money =  $11

26-11 = 15 =  

Jan's amount of money = $10

William's amount of money = $5

5x2 = 10

6 0
3 years ago
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