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2 years ago

Find the slope of the line through C(2, 5) and D(4,7).

Mathematics

2 answers:

VladimirAG [237]2 years ago

6 0

The slope of the line through C(2, 5) and D(4,7) will be 1.

<h3>What is a linear equation?</h3>

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Then the slope of the line through C(2, 5) and D(4,7) will be given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 5) / (4 - 2)

m = 2 / 2

m = 1

Thus, the slope of the line through C(2, 5) and D(4,7) will be 1.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ2

lozanna [386]2 years ago

3 0

Answer:1

Step-by-step explanation:u don't need one

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Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo

trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

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3 years ago

A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit

inessss [21]

Answer:

The 95% confidence interval is $295.9 < \mu< 324.1$

A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The mean is $\= x = 310 \ mg$

The standard deviation is $\sigma = 36 \ mg$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{36 }{\sqrt{25} }$

$E = 14.1$

The 95% level of confidence interval is mathematically represented as

$\= x - E < \mu$

substituting values

$310- 14.1 < \mu< 310+ 14.1$

$295.9 < \mu< 324.1$

The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

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3 years ago

N is inversely proportional to t and when t is 36 ,N is176 .

sergeinik [125]

Answer:

The answer is below

Step-by-step explanation:

N is inversely proportional to t, therefore:

N ∝ 1/t

Let k be the constant of proportionality, hence we can replace the relationship by:

N = k/t

Given that when t is 36, N is 176. Therefore we can find the value of k:

176 = k / 36

k = 176 * 36 = 6336

N = 6336/t

Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:

N = 6336/6

N = 1056

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Find the perimeter of angle ABC with verticals A(1,-6), B(1,-3) and C(-4,-6)

disa [49]

Answer:

its 13.83

Step-by-step explanation:

Use the distance formula and plug them in

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4 years ago

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Charra [1.4K]

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