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Tatiana [17]
3 years ago
11

Need help quick, please?

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0
Remember that the general formula for a circle is <span> 
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center. 
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2). 
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
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satela [25.4K]

To make y the subject, we must move everything to one side and y on the other.

  x + 2y = 6\\2y = 6 -x\\2y = -x + 6\\y =-\frac{1}{2} x + 3

Good day and I hoped that helped!

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2 years ago
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Which two representations are considered to be only partial representations?
DaniilM [7]

Answer:

D) The graph and the table

Step-by-step explanation:

The equation and the verbal description fully represent the situation because their representation is valid for all possible x values. On the other hand, the table and the graph only represent certain x values.

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3 years ago
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What are the solutions of 3x2 + 14x + 16 = 0?
nevsk [136]

Good evening ,

Answer:

x = StartFraction negative 8 Over 3 EndFraction, –2

Step-by-step explanation:

3x² + 14x + 16 = 0

3x² + 6x + 8x + 16 = 0

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3x(x+2) + 8(x+2) = 0

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3 years ago
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Which group had the highest percentage of students like Sport.
Vesnalui [34]

The group that had the highest percentage of students that like Sports is  group B.

The group that had the less percentage of students that like English is group A.

the percentage of students like Math in group A is 30% and 10% in group B

<h3>What are the percentages?</h3>

A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

Percentage of students that like sports in:

  • Group A = [20 / (20 + 15 + 5 + 10)] x 100 = 40%
  • Group B = [22 / (5 + 4 + 9 + 22)] x 100 = 55%

Percentage of students that like English in:

  • Group A = [5 / (20 + 15 + 5 + 10)] x 100 = 10%
  • Group B = [5 / (5 + 4 + 9 + 22)] x 100 = 22.5%

Percentage of students that like Maths in:

Group A = [15 / (20 + 15 + 5 + 10)] x 100 = 30%
  • Group B = [4 / (5 + 4 + 9 + 22)] x 100 = 10%

To learn more about pie charts, please check: brainly.com/question/26250795

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