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Rainbow [258]
3 years ago
11

What is the equation of a line that has a slope of -1/4 and passed through the point ( -3, -2 )

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

The slope-intercept form of line:

y=mx+b

We have the slope m=-\dfrac{1}{4}\to y=-\dfrac{1}{4}x+b and the point (-3, -2). Substitute:

-2=-\dfrac{1}{4}(-3)+b

-2=\dfrac{3}{4}+b       <em>subtract 3/4 from both sides</em>

-2\dfrac{3}{4}=b\to b=-\dfrac{11}{4}

Answer: y=-\dfrac{1}{4}x-\dfrac{11}{4}

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A. 2x = 5<br><br> What would be the answer I don’t know anyone help me before the 28th
Aleksandr [31]

Answer:

2.5

Step-by-step explanation:

4 0
3 years ago
Jane is trying to estimate the average electric bill amount of people who live in Las Cruces in summer time. She randomly select
Lina20 [59]

Answer:

The estimated average electric cost amount of all residents in Las Cruces = 182.9

Step-by-step explanation:

The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be

135 265 215 103 156 203 125 156 230 241

Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.

This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.

Sample mean ≈ Population mean

μₓ = μ

Mean = = (Σx)/N

The mean is the sum of variables divided by the number of variables

x = each variable

N = Sample size = 10

Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829

Sample mean = (1,829/10) = 182.9

Population mean ≈ sample mean

Population mean ≈ 182.9

Hope this Helps!!!

8 0
4 years ago
Segment EF is a mid segment of triangle ABC. IF BC = 12 cm, what is the measure of segment EF?
Effectus [21]
The answer is 6 cm. The mid segment is half of BC
8 0
3 years ago
Read 2 more answers
The sum of the ages of Mr Lin and his son Ethan is 38 years. In three years' time, Mr Lin will be three times as old as his son.
Sati [7]

Answer:

Mr.Lin's present age is 30 years now. His son is 8 years old now.

Step-by-step explanation:

Let L = Mr.Lin's present age,

   S = his son's present age.

First equation  is

L + S = 38.       (1)

The second equation is  

L + 3 = 3*(S+3)   (2)   ("In three years' time, Mr.Lin will be three times as old as his son.")

From (1), express S = 38-L and substitute it into (2). You  will get

L + 3 = 3*((38-L)+3),   or

L + 3 = 114 - 3L + 9,

4L = 114 + 9 - 3,  

4L = 120,

L = 30.

8 0
4 years ago
Please Help Me! It’s Math! Please!
nadezda [96]

Answer:

D. About 800 years

Step-by-step explanation:

Use the half-life equation:

A = A₀ (½)ⁿ

where A is the final amount,

A₀ is the initial amount,

and n is the number of half-lives.

0.90A₀ = A₀ (½)ⁿ

0.90 = (½)ⁿ

To solve for n, take log of both sides:

log 0.9 = n log 0.5

n = (log 0.9) / (log 0.5)

n = 0.152

It takes 0.152 half-lives.  The half-life of carbon-14 is 5730 years.

0.152 × 5730 years = 871 years

The closest answer is D.

8 0
3 years ago
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