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Kipish [7]
3 years ago
8

Write an equation of the line that passes through the point (4,5) and has a slope of -2.

Mathematics
2 answers:
Marina86 [1]3 years ago
5 0

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

TiliK225 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ......................   eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0  is the required equation of the line.

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if ab 4

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2 years ago
Mr. Notardonato is going to run a half marathon, which is 13.1 miles. How many inches are in 13.1 miles? (
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Step-by-step explanation:

this is how many inches

3 0
3 years ago
Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th
lord [1]

Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

\text{Days}=5\times 12=60

\text{Minutes}=60\times 45

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

\text{Hours}=\frac{60\times 45}{60}=45

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Therefore, Sebastian's average rate is 40 laps per hour.

6 0
3 years ago
Solve the system <br> 2x+y=-3 <br> -2y=6+4x
ANEK [815]

Answer:

0

Step-by-step explanation:

Write out the 2 equations:

2x + y = -3

-2y = 6+4x

-You then pick a variable that you want to solve for. I chose to solve for y because it would be a bit easier.

-2y = 6 + 4x

-Divide both sides by -2 to isolate the variable

(-2y) / -2 = (6 + 4x) / -2

-it comes out to y = -3 -2x

-Now that you have the y you can plug in the value into the second equation.

2x + y = -3   --->   2x + (-3 -2x) = -3

This can be simplified to:

2x - 3 - 2x = -3

The 2x's cancel out because there is a +2x and a -2x. You are left with a

-3 = -3. If you add 3 to both sides of the equation you end up with 0 = 0, which can be simplified to just 0.

6 0
3 years ago
Benjamin is trying to find the height of a radio antenna on the roof of a local building.
xz_007 [3.2K]

The height of the antenna on the roof of the local building is approximately 8 meters.

The situation forms a right angle triangle.

<h3>Properties of a right angle triangle:</h3>
  • One of its angles is equals to 90 degrees
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Therefore, let's find the height of the building and the radio antenna from the eye point.

Using trigonometric ratios,

tan 40° = opposite / adjacent

tan 40° = x / 25

where

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x = 25 tan 40

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Let's find the height of the building from his eye point.

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Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786

Height of the antenna ≈ 8 meters

learn more on elevation here: brainly.com/question/17582385?referrer=searchResults

8 0
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