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Eddi Din [679]
3 years ago
15

Write the equation of a circle with center (6,4) that passes through the coordinate (2,1). In your final answer, include all of

your calculations.
Mathematics
2 answers:
Elodia [21]3 years ago
5 0
All points along the circle with be the distance of the radius from the center...so the radius can be found using the Pythagorean Theorem..

r^2=(4-1)^2+(6-2)^2

r^2=9+16

r^2=25

r=5

The equation of the circle can be expressed as:

r^2=(x-h)^2+(y-k)^2 where (h,k) correspond to the center of the circle, (2,1) in this case.

(x-2)^2+(y-1)^2=25

if you wanted it in a more standard form...

(y-1)^2=25-(x-2)^2

(y-1)^2=25-x^2+4x-4

(y-1)^2=-x^2+4x+21

y-1=(-x^2+4x+21)^(1/2)

y=1(+/-)(-x^2+4x+21)^(1/2)
Ainat [17]3 years ago
3 0

Answer:

(X - 6)^2 - (y - 4)^2 = 25

Step-by-step explanation:

Same as what shown except the center is (6,4 not (2,1)

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Which of the following proportionally statements is correct?
yulyashka [42]

Answer:

\frac{AC}{BC}=\frac{DF}{EF}

Step-by-step explanation:

The figure given has two similar triangles: ΔABC and ΔDEF.  Although the triangles are similar, their orientation is different and ΔDEF is flipped.  Since the triangles are similar, their side lengths are proportional to each other.  Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF.  The only answer that matches these up proportionally is the third one.  Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle.  Final answer being:

\frac{AC}{BC}=\frac{DF}{EF}

6 0
3 years ago
a dining room table and chairs are priced at $869. Mrs. Brown has a coupon for $75 off the original price. If the tax on the sal
Arada [10]
869 * .08 = 69.52
69.52 + 869 = 938.52
938.52- 75 =  863.52

7 0
3 years ago
Read 2 more answers
Help me please !!!!
fiasKO [112]

Answer:

BC = 10

Step-by-step explanation:

BC = BD - CD

BC = 14 - 4

BC = 10

6 0
3 years ago
15c² - 5c. Factorise completely ​
KATRIN_1 [288]

Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided.  The expression that was provided is 15c^2 - 5c.

The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common.  We can see that both 15c^2 and -5c have the number 5 and the variable c associated with them so we can factor out those two.

<u>Factor out 5c</u>

  • 15c^2 - 5c
  • 5c(\frac{15c^2}{5c}) - 5c(\frac{5c}{5c})
  • 5c(3c) - 5c(1)
  • 5c(3c - 1)

Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of 5c(3c - 1).

7 0
1 year ago
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Describe at least two similarities between constructing a perpendicular line through a point on a line and constructing a perpen
Sophie [7]

Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;

  • 1. Arcs are drawn to cross the given line twice on either side relative to the point
  • 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line

Description:

1. One of the first steps is to place the compass on the point and from

point, draw arcs to intersect or cross the given line at two points.

2. The compass is placed at each of the intersection point in step 1 and

(opened a little wider when constructing from a point on the line) arcs are

drawn on one (the other side of the point off the line) side of the line with

the same opening (radius) of the compass to intersect each other.

3. From the point of intersection of the arcs in step 2, a line is drawn with a

straight edge passing through the given point.

Learn more about perpendicular lines here:

brainly.com/question/11505244

8 0
2 years ago
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