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2 years ago

Can you help me with this?

Mathematics

1 answer:

Ivanshal [37]2 years ago

3 0

Answer:

(2,-3) and (49/29, -108/29)

Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation

(x-a)^2 + (y-b)^2 = r^2

(x-1)^2 + (y+3)^2 =1

You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0

Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1

Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.

Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.

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Solve the system of equations by graphing<br>2x+y=8<br>x+3y=9

natima [27]

9514 1404 393

Answer:

(x, y) = (3, 2)

Step-by-step explanation:

The attached graph shows the solution.

(x, y) = (3, 2)

3 0

2 years ago

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra

Stels [109]

Answer:

Third option: $y= \frac{1}{4}x+2$

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is $y -4 = \frac{1}{4}(x -8)$ . What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

$y -4 = \frac{1}{4}(x -8)$

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

$y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2$

You can identify that the slope "m" is:

$m=\frac{1}{4}$

And the y-interecept "b" is:

$b=2$

7 0

3 years ago

Read 2 more answers

2 + 2= ?<br><br> Just answer this if ur bored

Galina-37 [17]

Answer:

Step-by-step explanation:

break the first 2 into its components, 1 and 1 because 1 + 1 = 2.
Break the second 2 into its components, 1 and 1 because 1 + 1 = 2.

Combine all the components. Since they're all ones, you just have to count your fingers 4 times!
1 + 1 = 2. 2 + 1 = 3. 3 + 1 = 4!
1 + 1 + 1 + 1 = 4!

4 is the correct answer.

5 0

2 years ago

What percentage of the semi circle is shaded? <br>

mezya [45]

The percentage of the semicircle shaded section is approximately 23,606 %.

The percentage of the area of the semicircle is equal to the ratio of the semicircle area minus the half-cross area to the semicircle area. In other words, we have the following expression:

$r = \left(\frac{A_{s}-A_{h}}{A_{s}} \right)\times 100\,\%$

$r = \left(1-\frac{A_{h}}{A_{s}} \right)\times 100\,\%$ (1)

Where:

$A_{h}$ - Area of the half cross, in square centimeters.
$A_{s}$ - Area of the semicircle, in square centimeters.
$r$ - Percentage of the shaded section of the semicircle.

And the percentage of the shaded section is:

$r = \left[1-\frac{4 \cdot (2\,cm)^{2}+4\cdot \left(\frac{1}{2} \right)\cdot (2\,cm)^{2}}{0.5\cdot \pi\cdot (16\,cm^{2}+4\,cm^{2})} \right]\times 100$

$r \approx 23.606\,\%$

The percentage of the semicircle shaded section is approximately 23,606 %.

We kindly invite to check this question on percentages: brainly.com/question/15469506

3 0

2 years ago

The Abs R Us bodybuilding club has an annual memebership fee of $414. You plan to visit 8 each month, how much is your cost per

Lisa [10]

Comment
There are 12 months in a year. He plans on visiting 8 times each month.

Step One
Find the number of visits per year.

<em>Givens</em>
Number of visits per month = 8
Number of months per year = 12

Visits = # visits / month * number of months
Visitis = 8 * 12
Visits = 96 visits in total.

Step Two
<em>Calculate the cost / visit</em>
Total Cost = 414 visits.
Total Visits = 96

Cost / Visit = Total Cost / Total visits.
Cost / Visit = 414 / 96
Cost / Visit = 4.31 roughly.

4 0

3 years ago

Can you help me with this?​

Can you help me with this?