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ahrayia [7]
3 years ago
15

What is the slope of the function y= 4x+ 6

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

<h2>The answer is 4</h2>

Step-by-step explanation:

Since the function is a linear function

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 4x + 6

Comparing with the general form of equation above the slope of the function is

<h2>4</h2>

Hope this helps you

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In the right triangle shown, m\angle A = 30\degreem∠A=30°m, angle, A, equals, 30, degree and AB = 12\sqrt{3}AB=12
fiasKO [112]

Answer: Line AC = 24 units and line BC = 12 units.

Step-by-step explanation: Please refer to the diagram attached for more details.

The right angled triangle ABC has been drawn with angle A measuring 30 degrees and line AB measuring 12√3. To calculate the other two unknown sides AC labelled b, and BC labelled a, we shall use the trigonometric ratios. However, in this scenario, we shall apply the special values of each trigonometric ratio. These are shown in the box on the top right in the picture. The proof is given in the second right angled triangle at the bottom part of the attached picture.

Assume an equilateral triangle with lengths 2 units on all sides and 60 degrees at all angles. Drawing a line perpendicular to the bottom line would divide the top angle into two equal halves (30 degrees each), and the bottom line also would be divided into two equal halves (1 unit each). So the hypotenuse will measure 2 units and the line at the base would measure 1 unit. By using the Pythagoras' theorem, we derive the third side to be √3 <u>(that is x² = 2² - 1², and then x² = 4 - 1,  and then x² = 3 and finally x = √3).</u>

Therefore, in triangle ABC, using angle 30 as the reference angle, to calculate side AC;

Cos 30 = Adjacent/Hypotenuse

Cos 30 = (12√3)/b

b = (12√3)/Cos 30

Where Cos 30 is √3/2

b = (12√3)/√3/2

b = (12√3) * 2/√3

b = 12 * 2

b = 24

To calculate side BC;

Tan 30 = Opposite/Adjacent

Tan 30 = a/(12√3)

Tan 30 * 12√3 = a

Where Tan 30 = 1/√3

(1/√3) * 12√3 = a

12 = a

Therefore, the missing lengths in the right triangle are

AC = 24 units and BC = 12 units

4 0
3 years ago
Read 2 more answers
Question 3 (Essay Worth 10 points)
elena-14-01-66 [18.8K]

It's not an accurate value for the data based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means practically no correlation, while the points on the graph are moderately correlated

<h3>How to illustrate the information?</h3>

1. Part A:

Since the points in the scatter plot shows a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.

The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to  1.

Here, r = - 1 is a perfect negative correlation as the points will adjust perfectly to a line with a negative slope.

r =  + 1 is a perfect positive correlation: the points will adjust perfectly to a line with a positive slope.

r = 0 means that the variables are not correlated at all.

Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows another thing.

Therefore, the calculated value of r = 0.01 is not accurate for this scatter plot.

2. Part B.

A causal relationship means that the explanatory variable (the independent variable) is the cause of the dependent variable.

Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.

Thus, the scenario could be:

Amount of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

        50                                                     40

        25                                                     80

        12.5                                                  160

        6.25                                                 320

The amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.

Learn more about scatter plot on:

brainly.com/question/6592115

#SPJ1

3 0
1 year ago
Josie bought a roast that weighed 3 3 10 3310 pounds. She also bought 1 4 10 1410 pounds of hamburger. How many pounds of meat d
ivanzaharov [21]

Answer:

4,720

Step-by-step explanation:

From my understanding, you just add the numbers together.

3310 + 1410=

4,720

I could be wrong. However, that's what I grasped out of your question. Hope this helped! Have a good day. :)


6 0
3 years ago
Three times a number increased by 8 is no more than the number 32. Find the possible answers.
Inga [223]

Answer:

3n + 8 ≤ 32

Step-by-step explanation:

You multiply the 3 and the n together then add the 8 and it can't be more than 32 but it can be equal to 32

3 0
2 years ago
Write 43,080,700 in expanded form
loris [4]
40,000,000+3,000,000+80,000+700
7 0
3 years ago
Read 2 more answers
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