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Rina8888 [55]
3 years ago
7

Find the slope of the line through each pair of points.

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0
<h2>Answer:    slope = ¹¹/₁₃ </h2><h3>Step-by-step explanation:    </h3>

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

<em></em>

<em></em>

<em>Checking my answer:</em>

<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>

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3 0
3 years ago
Help me with the triangle area please
dexar [7]

Answer:

15 m ^2

Step-by-step explanation:

3 x 10 is 30

divide that by 2 since the triangle can fit in half of the rectangle shape

you will get 15

7 0
2 years ago
Read 2 more answers
10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either
umka21 [38]

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

6 0
2 years ago
Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai
Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Given : Confidence level : (1-\alpha)=0.90

⇒ significance level =\alpha= 0.10

z-value for 90% confidence interval (using z-table)=z_{\alpha/2}=1.645

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2

Simplify , we get

n=(0.25)(6765.0625)=1691.265625\approx1692

Hence, the required sample size = 1692

8 0
3 years ago
Read 2 more answers
Does the table describe x as a function of y?
kicyunya [14]

Answer:

C. No, more than one output value x is assigned to the input y-value

Step-by-step explanation:

Given

х      у

-3    -2

3     6

0      7

1       7

2      4

3     - 1

Required

State if the table shows x as a function of y

x being a function of y means

x = f(y)

i.e. x represents the output while y represents the input of the function

Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established

Having said;

Next step: We have to examine the x and y column

In the y column, the value 7 occurred twice (as shown below)

<em>х      у </em>

<em>0      7 </em>

<em>1       7 </em>

<em />

This implies that;

Input 7 gives output of 0 and 1.

<em>Hence, this is not a function.</em>

<em>Option C answers the question.</em>

7 0
3 years ago
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