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3 years ago

Find the equations of the line that:

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer: Part A: y = x + 6

Part B: y = 10

The attachment shows the graphs of these equations.

Step-by-step explanation:

Find the slope, and then the y-intercept. Then write the equation in Slope-intercept form . y= mx+b

m is the slope. b is the constant, the y-intercept.

First find the slope: rise/run

Rise is the difference in y-values 10-7 = 3

Run is the difference between x-values 4 - 1 = 3

The Slope is 3/3 simplify:

m = 1

Use this calculated slope with values of y and x from either of the given coordinates and calculate b

y = mx + b

10 = 1(4) + b The 1 is not necessary, its "implied" and invisible as a factor in multiplication

10 = 4 + b . subtract 4 from both sides 10 - 4 = 4 - 4 + b

6 = b

Put these calculated values for m and b into the slope-intercept equation"

y = x + 6

_________

Part B: Step-by-step explanation: Slope-intercept form . y= mx+b

First find the slope: rise/run

Rise is the difference in y-values 10 - 10 = 0

At this point you know that if the slope is 0, it is a horizontal line intersecting the y-axis at the y-value, 10

That graphed line will pass through All x-values.

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Thee population of a town, P(t), is 2000 in the year 2010. Every year, it increases by 1.5%. Write an equation for the populatio

steposvetlana [31]

Given:

In 2010, the population of a town = 2000

Every year, it increase by 1.5%

To find the equation P(t) which represents the population of this town t years from 2010.

Formula

If a be the original population of a town and it increases by b% every year, after t year the population will be

$a (1+\frac{b}{100} )^{t}$

Now,

Taking, a =2000, b = 1.5 we get,

$P(t) = 2000(1+\frac{1.5}{100} )^{t}$

or, $P(t) = 2000(1+0.015)^{t}$

Hence,

The population of this town t years from 2010 P(t) = $2000(1+0.015)^{t}$ , Option D.

7 0

3 years ago

Evaluate 15r -1 when r=5

alukav5142 [94]

Answer:

Step-by-step explanation:

You just have to substitute r with 5.

Now, the equation looks like this:

$15(5)-1$

Next, solve $15*5$ first according to PEMDAS

And $15*5$ equals 75

$\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}$

Lastly, do $75-1$ which equals 74

$\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}$

Therefore, 74 is your answer.

3 0

2 years ago

Please helppp i need this done and i dont know what to do

ioda

Answer:

FRACTION DECIMAL

1/5( 1*2/5*2=2/10) 0.2

3/10 0.3

1/2(1*5/2*5=5/10) 0.5

7/10 0.7

3/4(3*25/4*25=75/100) 0.75

NOTE: To conert a fraction into decimal, it is required that the denominator be changed into 10, 100, 1000 and so on..... By changing the denominator, we have to first select the appropriate number by which you will be able to convert it into 10, 100 or 1000, and you are also required to multiply that number with the denominator as well as numerator. In the first question, 1/5 we can convert the denoinator into 10, 100 or 1000 as the denominator is 5, whatever you choose, the answer will be correct, so, 1*2/5*2 gives 2/10. Since 10 has one zero, the decimal point moves one time towards the left, which gives 0.2. And you can do the rest according to this way, considering the number of zeroes.

5 0

3 years ago

The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 de

adelina 88 [10]

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

6 0

2 years ago

I really need help on geometry

balu736 [363]

For example, exc. 15.

x + y = 10 and 6/x = 9/y; You need y!

=> x = 10 -y and 9x = 6y => 9(10-y) = 6y => 90 - 9y = 6y => 15y = 90 => y = 6.

8 0

2 years ago