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2 years ago

The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?

Mathematics

2 answers:

nignag [31]2 years ago

8 0

The slope of the equation is 6

allochka39001 [22]2 years ago

3 0

Answer:

The answer would be 6.

Step-by-step explanation:

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Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

Can someone help me out with this?

marissa [1.9K]

Answer:

x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

a : b : c = 1 : √3 : 2

We have:

b = 2√3 and c = RT

Use the ratio to find the lenght of RT

2√3 : RT = √3 : 2
RT = 2*2√3/√3
RT = 4

So the value of x is 4 units

4 0

1 year ago

In the expression 852.763 x 10?, what is the missing exponent that would result in a number that is 1,000 times the value of 852

Molodets [167]

Answer:

The missing exponent = power of 3

852.763 x 10³ = 852763

Step-by-step explanation:

The expression 852.763 x 10?

A number that is 1,000 times the value of 852.763 is calculated as:

852.763 × 1000 = 852763

Converting this to exponent

852.763 × 10³ = 852763

Therefore, the missing exponent that would result in number that is 1,000 times the value of 852.763 is power of 3 meaning 10³

7 0

2 years ago

Which expression has a value of 36?

IrinaK [193]

The answer is A or C

7 0

3 years ago

Last month, Hao's ate 40 cans of dog food in 31 days. How many cans should Hao buy to feed his dog for the next 6 days?

mestny [16]

The dog will need about 8 cans for the next six days.

6 0

2 years ago

Read 2 more answers