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Nutka1998 [239]
2 years ago
8

Write an equation of the line that passes through the points (2, 5) and (6, 7)

Mathematics
1 answer:
Contact [7]2 years ago
5 0

Answer:

y = \frac{1}{2}x +4

Step-by-step explanation:

1. Find the slope of the line by plotting the points or by using the equation to find the slope.

2. Plot the line using the slope and find the y-intercept, which is 4.

3. Put your information together to get the equation y = \frac{1}{2}x +4.

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The chart below shows the average number of movies seen per person in selected countries. Use equal intervals to make a frequenc
NARA [144]
To make a frequency table, you will need to find the lowest and highest average number of movies.

Numbers go from 0.5 to 4.5.
And example of frequencies you could use are:

0-0.9 (1)
1-1.9(5)
2-2.9(5)
3-3.9(2)
4-4.9(1)

The frequencies are in parentheses beside the intervals.

6 0
3 years ago
Kala purchased a prepaid phone card for $30. Long distance calls cost 9 cents a minute using this card. Kala used her card only
Romashka [77]

Answer:

The call lasted 13 minutes

Step-by-step explanation:

In this question, we are told to find the number of minutes a call lasted.

The initial amount on the card is $30 and after making a phone call just once, the balance went down to $28.83

What was used would be 30 - 28.83 = $1.17 or simply 117 cents

Now these long calls come at a cost of 9 cents per minute and we have a total of 117 cents here; the number of minutes is thus 117/9 = 13

This means Kala spent 13 minutes on the call

8 0
3 years ago
Read 2 more answers
Find the area of the circle.<br> Use 3.14 for π.<br> d = 10 cm<br> A = [?] cm²<br> A=TCr2
Stells [14]

Answer:

78.5

Step-by-step explanation:

The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.

A= 3.12 x 5^2

A= 78.5

5 0
2 years ago
Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco
NikAS [45]

Answer:


Step-by-step explanation:

lets say in the shown triangle x=165

so speed \frac{dx}{dt} =25

and  \frac{dy}{dt} =35


Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = \frac{35\pi \pi }{60}

y = \frac{7\pi }{12}


Now using the pythagorean :

x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2

<u>derivate the equation so  we get :</u>

x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}


\frac{dz}{dt} =25.387 m/s

So Rate of change = <u><em>25.387 m/s</em></u>


5 0
3 years ago
The value of x varies directly with y, and when x= 1/3,y = 12. Write an equation to represent the direct variation.
shtirl [24]

Answer:

Equation: y = 36x

Step-by-step explanation:

The equation that represents a direct variation between variable x and variable y is given as y = kx. Where, k is the constant of proportionality.

Find the value of k given that x = ⅓ and y = 12.

Plug the values into the equation.

y = kx

12 = k\frac{1}{3}

Multiply both sides by 3

12*3 = k*1

36 = k

Substitute the value of k into y = kx

y = 36x

Equation: y = 36x

5 0
2 years ago
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