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Mila [183]
3 years ago
14

Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each mi

nute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
coordinates please!
Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

See the graph attached

Step-by-step explanation:

Every minute = 3m

At time zero, the depth is zero

Giving coordinates of (0, 0)

At time 1 minute, the depth is 3m

Giving coordinates of (1, 3)

This gives a linear equation

Slope = Δy/Δx

= (3-0)/(1-0)

= 3/1

= 3

Take any general point (x, y)

The equation of the line is:

(y-0)/(x-0) = 3

y/x = 3

y = 3x

See the plot which goes up to a depth of 5m

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If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how
antoniya [11.8K]

Complete Question:

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.

1. y = 3x + b

2. y = mx + 9

Answer:

1. Intercept, b = -1

2. Slope, m = -2

Step-by-step explanation:

Given the following data;

Points on the line (x, y) = (2, 5)

To find the missing values;

Mathematically, the equation of a straight line is given by the formula;

y = mx + b

Where;

  • m is the slope.
  • x and y are the points
  • b is the intercept.

1. y = 3x + b

Substituting the value of x and y, we have;

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

<em>Intercept, b = -1</em>

2. y = mx + 9

Substituting the value of x and y, we have;

5 = m(2) + 9

5 = 2m + 9

2m = 5 - 9

2m = -4

m = -4/2

<em>Slope, m = -2</em>

6 0
3 years ago
Brooke is paving the parking spot shown below. It costs \$40$40dollar sign, 40 to pave each square meter.
sashaice [31]

Answer:800

Step-by-step explanation:

dont know

6 0
3 years ago
Which value for x makes this open sentence true? 5 + 5 ● x = x² + 3²
Angelina_Jolie [31]
The answer your looking for here is 1
5 0
3 years ago
Triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R
Sophie [7]

Answer:

PR Method

Step-by-step explanation:

q^2=p^2+r^2-2

4 0
3 years ago
A satellite dish is the shape of a paraboloid. The dish is 38 inches wide, and 10 inches deep. How many inches should the receiv
vitfil [10]

Answer:

9 in approx

Step-by-step explanation:

Step one:

given data

the shape of the satellite dish takes the form of a paraboloid.

the diameter of the dish is 38in wide

and 10 inches deep.

step two:

The expression for the paraboloid is

4ay=x^2

where y is the vertical axis of the  paraboloid

a is vertex to focus.

and x is the radius of the dish

x= 38/2= 19in

substituting we have

4a10 =19^2\\\\40a=361 \\\\

divide both sides by 40

a=361/40\\\\a=9.025

vertex to focus= 9 in approx

4 0
3 years ago
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