Mathematics, 12.12.2019 20:31 levin69

harrison pours sand into a bucket at a constant rate

a. y=3x+19

b. y=4x+17

c. y=4x-17

d. y=2x+21

harrison pours sand into a bucket at a constant rate a.y=3x+19<

Answers: 2

Show answers

Answers

Answer from: sandram74691

We can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17

Answer from: u8p4

The equation of the line parallel to the line on the graph that passes through (2,25) is

B. y=4x+17

Step-by-step explanation:

1. First find the equation of the line.

The equation of the line is represented by the equation y=mx+b , where m is the slope and b is the intercept with y axis.

Find the slope in order tu find the equation of the line.

The slope is given by the equation $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ where the points $y_{2}$ , $y_{1}$ , $x_{2}$ and $x_{1}$ are a pair of data from the graph.

The problem says that after 10 seconds the total weight is 50 ounces, so this is the first pair of data (10,50) and the second pair is the incercept with y axis (0,10), so the slope can be calculated as:

$m=\frac{50-10}{10-0}$

m=4

Finally b is the value of the intercept of the line with y axis, that is 10.

Therefore the line equation will be y=4x+10

2. Find the equation of the parallel line:

The parallel line must be the same slope that is m=4

And as the parallel line to the line on the graph passes through (2,25) it means that the values of x and y for the parallel line are:

x=2

y=25

So,

y-25=4(x-2)

Solving for y:

y=4x-8+25

y=4x+17

Therefore the equation of the line parallel to the line on the graph that passes through (2,25) is y=4x+17

Answer from: Quest

We need more info then that

Answer from: Quest

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 18:30

Is the square root of 4 plus the square root of 16 rational?

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

Through non-collinear points there is exactly one plane.

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

How many terms does the polynomial x^2 y^2 have

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Acredit union pays 5% annual interest, compounded daily, on savings deposits. find the value after one year of $500 deposited in this account. $525.64 $25.64 $20.40 $520.40

Answers: 2

Answer

You know the right answer?

harrison pours sand into a bucket at a constant rate

a. y=3x+19

b. y=4x+17

Questions