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3 years ago

PLEASE HELP

1 answer:

7 0

The equation of a circle with center (h,k) and radius r is
(x-h)²+(y-k)²=r²
so
given center is (3,-4)
(x-3)²+(y-(-4))²=r²
(x-3)²+(y+4)²=r²
find r² by subsitutiong the point taht it passes through which is (6,5)

so
(6-3)²+(5+4)²=r²
3²+9²=r²
9+81=r²
90=r²
so

(x-3)²+(y+4)²=90 is da equation

4th equation

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Write the equation of the line of best fit using the slope-intercept formula y=mx+b. Show all your work, including the points us

Colt1911 [192]

The equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

<h3>Equation of the line of best fit</h3>

A line is the shortest distance between two points. The equation in point-slope form is expressed as:

y =. mx + b

m is the slope

b is the y intercept

Using the coordinate points (25, 20) and (60, 55)

Slope = 55-20/60-25
Slope = 35/35
Slope = 1

For the intercept

20 = 1(25) + b

b = 20 - 25

b = -5

Substitute

y = x + (-5)

y = x - 5

Hence the equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

Learn more on line of best fit here: brainly.com/question/17013321

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1 year ago

quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?

Setler [38]

Answer:

The vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

Step-by-step explanation:

<em>Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.</em>

<em />

Let us suppose

A(-5, 1)

B(-4, 3)

C(1, 2)

D(-3, 0)

We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:

(x, y) → (2x-2, 2y-2)

Therefore, the vertices of the image will have the coordinates

A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)

B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)

C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)

D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)

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2 years ago

Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.

xz_007 [3.2K]

Answer:

f = 6y + 3

Step-by-step explanation:

<u>The equation to reflect this condition is:</u>

f = 6y + 3

<u>Where</u>

3 - is constant, the initial number of flights
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8 0

3 years ago

Find the slope of the line that passes through the following points: (5, 3) and (-2, -4)

Aleksandr [31]

Answer:

Step-by-step explanation:

To find the slope, you must subtract the second y axis from the first y axis then the second x axis from the first x axis.

Problem: (5, 3) (-2, -4)

Solution: Step 1. - 4 - 3 = 7 (subtract the second y axis from the first y axis)

Step 2. - 2 - 5 = 7 (subtract the second x axis from the first x axis)

Answer: 7/7

Final Answer: 1

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3 years ago

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svetoff [14.1K]

Answer:

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Step-by-step explanation:

So, the question means that if we add the number of tiger shark teeth and the sand shark teeth and subtract it from the total number of teeth, we will get the number of bull shark teeth.

Since Christian has 18 shark teeth, and 6 are tiger shark teeth, 8 are sand shark teeth and the rest are bull shark teeth.

Let x represent the number of bull shark teeth.

So, total number of shark teeth = number of tiger shark teeth + number of sand shark teeth + number of bull shark teeth.

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subtracting 14 from both sides, we have

18 - 14 = 14 - 14 + x

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3 years ago