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madam [21]
2 years ago
13

Graph the line with the equation

Mathematics
1 answer:
pochemuha2 years ago
4 0

The graph of the linear equation can be seen in the image below.

<h3 /><h3>How to graph the linear equation?</h3>

Here we have the linear equation:

y = (2/5)*x - 6

To graph it, we just need to find two points on the line, and then connect them with a line.

To find the points we just evaluate in two values of x.

if x = 0.

y = (2/5)*0 - 6 = -6

Then we have the point (0, -6)

If x = 5.

y = (2/5)*5 - 6 = 2 - 6 = -4

Then we have the point (5, - 4)

Now we can graph these two points and connect them with a line. The graph of the line can be seen below.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert
puteri [66]

The volume of the pyramid is 2496 cu.m.

<h3>What is a Pyramid ?</h3>

A pyramid is a three dimensional structure which has a polygon base and  in general triangular faces which join at the top .

It is given that

A pyramid \rm frustum has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a  \rm frustum is given by

V = (1/2) * ( Area of base + Area of  \rm frustum ) * height of the  \rm frustum from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

To know more about Pyramid

brainly.com/question/13057463

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8 0
2 years ago
the daily supply of oxygen for one person is provided by 625 square feet of lawn. a total of 5625 square feet of lawn would prov
Anestetic [448]

The answer is 9. 5625 / 625 = 9

This means that 5625 square feet of lawn would provide the daily supplies of oxygen for 9 people

4 0
3 years ago
The second on a watch is 14mm long. What area does it sweep through in 30 seconds
skad [1K]

Exact Area = 98pi  

Approximate Area = 307.8760800518 (use calculator stored version of pi)

Approximate Area = 307.72 (using pi = 3.14)

Units are in square millimeters

======================================================

Explanation:

In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is

A = pi*r^2 = pi*14^2 = 196pi

Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately

If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72

3 0
3 years ago
Which of the following correctly sets up the point-slope equation for this line?
Sophie [7]

Answer: y + 7 = \frac{1}{3}(x - 6)\\\\

Work Shown:

y - y_1 = m(x - x_1)\\\\y - (-7) = \frac{1}{3}(x - 6)\\\\y + 7 = \frac{1}{3}(x - 6)\\\\

8 0
2 years ago
Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). (Enter your answers in set notatio
horrorfan [7]

Answer:

a) FFFF, FVFF, FFVF, FFFV,

FVFV, FFVV,FVVF,VVFF,

VFVF, VFFF,VFFV,FFVV

VVVV, VFVV, VVFV, VVVF

b) FVFF, FFVF, FFFV,VFFF

c) VVVV or FFFF

d) FFFF, FVFF, FFVF, FFFV, VFFF

e) FFFF, FVFF, FFVF, FFFV ,VFFF, VVVV

Step-by-step explanation:

For this case we define some notation:

F= mortgage classified as fixed rate

V= mortgage classified as variable rate

We select a sample of 4 mortgages.

Part a

We have 2*2*2*2= 16 possible combinations defined below:

FFFF, FVFF, FFVF, FFFV,

FVFV, FFVV,FVVF,VVFF,

VFVF, VVFF,VFFV,FFVV

VVVV, VFVV, VVFV, VVVF

Part b

Which outcomes are in the event that exactly three of the selected mortgages are fixed rate

We need to see in the possible outcomes from part a) how many we have exactly three F's .If we analyze the possible options the possible combinations are:

FVFF, FFVF, FFFV, VFFF

Part c

Which outcomes are in the event that all four mortgages are of the same type?

For this case we have just two possible values: VVVV or FFFF

Part d

Which outcomes are in the event that at most one of the four is a variable ­rate mortgage?

We need to see in the possible outcomes from part a) how many have at least one V. After analyze we see that the possible values:

FFFF, FVFF, FFVF, FFFV, VFFF

Part e

The union represent all four mortgages are of the same type or outcomes are in the event that at most one of the four is a variable ­rate. So we are looking for the possible outcomes VVVV and FFFF and the outcomes with just one V ( FVFF, FFVF, FFFV ,VFFF) so then the union would be:

FFFF, FVFF, FFVF, FFFV ,VFFF, VVVV

4 0
3 years ago
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