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vovangra [49]
3 years ago
6

What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (6, -1)(6,−1)?

Mathematics
1 answer:
Vlada [557]3 years ago
5 0

\boxed{y=-1}

<h2>Explanation:</h2>

In order to solve this problem, let's remember the point-slope form of the equation of a line:

y-y_{1}=m(x-x_{1}) \\ \\ m:slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line

We know two points:

(x_{1},y_{1})=(-4, -1) \\ \\ (x_{2},y_{2})=(6, -1)

So:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-1-(-1)}{6-(-4)} \\ \\ m=0

So this is a constant line (slope equals zero). Therefore, every point has a y-coordinate y=-1. In other words, the equation is:

\boxed{y=-1}

<h2>Learn more:</h2>

Equation of lines: brainly.com/question/13015874

#LearnWithBrainly

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3 0
3 years ago
Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet
Mumz [18]

Answer:

296.693\leq x\leq 319.307

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }

Where x' is the sample mean, s is the population standard deviation, n is the sample size and z_{\alpha /2} is the z-score that let a proportion of \alpha /2 on the right tail.

\alpha is calculated as: 100%-99%=1%

So, z_{\alpha/2}=z_{0.005}=2.576

Finally, replacing the values of x' by 308, s by 17, n by 15 and z_{\alpha /2} by 2.576, we get that the confidence interval is:

308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307

6 0
3 years ago
To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
s2008m [1.1K]

multiply 500 by 4 to know how much is needed in grams first

500×4 = 2000

convert 2000grams to kilograms

since 1000grams make 1 kilograms....then divide 2000 by 1000

which would give you 2000/1000

answer = 2kg of sugar

8 0
3 years ago
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A.
PolarNik [594]

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. <em>As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. </em>This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

<u>C=45h+30</u>

<u>C=45(6.5)+30</u>

Im using a decimal because it should be clear 1/2=0.5

<u>C= 292.5+30</u>

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

<u>C=$322.50</u>

3 0
3 years ago
Type in the value of y.<br><br><br><br> If x = 7, then y =
Mila [183]
<h3>Answer:  8</h3>

Explanation:

The rule says "whatever x is, add 1 to it to get y"

So for instance, if x = 3, then y = x+1 = 3+1 = 4

Now if x = 7, then y = x+1 = 7+1 = 8

3 0
3 years ago
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