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Helen [10]
3 years ago
13

which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?

Mathematics
2 answers:
denis23 [38]3 years ago
6 0

Answer:

y-2=\frac{1}{3}(x-3)

Step-by-step explanation:

we know that

The equation of the line into point slope-form is equal to

y-y1=m(x-x1)

in this problem we have

m=\frac{1}{3}

(x1,y1)=(3,2)

substitute the values in the formula

y-2=\frac{1}{3}(x-3)

crimeas [40]3 years ago
5 0
Y - y1 = m(x - x1)
slope(m) = 1/3
(3,2)....x1 = 3 and y1 = 2
now we sub
y - 2 = 1/3(x - 3)
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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks​
Inessa [10]
<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

c^2 = a^2 + b^2 - 2ab\ cos c

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123

Thus, the distance between two landmarks is 123 meters

8 0
3 years ago
What percent of 30 is 33
Llana [10]
Hi!

To solve this we can set up a proportion and cross multiply.

\frac{33}{30}  \frac{x}{100}

33 x 100 = 3300
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The answer is 110%

Hope this helps! :)
3 0
3 years ago
The radius of a circle is 8 kilometers. What is the area?
Scorpion4ik [409]

Answer:

Area of the circle=200.96 km^2

Step-by-step explanation:

Area of a circle=\pi *r*r

For radius(r)=8 km

The area of the circle is :

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As:    

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Area of the circle:

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The Area of the circle with the radius of 8km is 200.96 km^2

7 0
2 years ago
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This is pretty easy for yall
Naily [24]

Answer:

3

Step-by-step explanation:

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DochEvi [55]

Step-by-step explanation:

<u>y</u> - <u>1</u> = <u>-</u><u>3</u>

x - 0 2

2y - 2 = -3x

2y = -3x + 2

7 0
3 years ago
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