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Basile [38]
2 years ago
14

Use the interactive ruler to measure the distance from the

Mathematics
1 answer:
Zarrin [17]2 years ago
5 0

Answer:

4

2

one-half

Step-by-step explanation:

Hope this helps!! :)

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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0
2 years ago
Segment BD is an altitude of triangle ABC. Find the area of the triangle. Triangle ABC with altitude BD is shown. Point A is at
pogonyaev
Where's the "triangle with alt. BD?"  This problem can be solved without the diagram, but the solution would be easier with it.

BD is the altitude.  Find the length of BD by finding the dist. between (-1,4) and (2,4); it is 2-(-1), or 3.  |BD| = 3.

I've graphed the triangle myself and have found that the "base" of the triangle is the vertical line thru (2,1) and (2,6); its length is 6-1, or 5.

Thus, the area of this triangle is  A = (b)(h) / 2, or  A = (5)(3) / 2 = 10/3 square inches.
7 0
3 years ago
Read 2 more answers
The opposite of 50 feet below sea level
adell [148]

Answer:

50 ft above sea level.

Step-by-step explanation:

The exact opposite would just be 50 ft above the starting point.

5 0
2 years ago
Read 2 more answers
The two triangles are similar. What is the value of x?
Tcecarenko [31]
If they are similar, their sides are proportional. The scale factor would be 20/28, which is 5/7.

5/7 = 3x/4x+2
Cross multiply
20x+10 = 21x
subtract 20x on both sides
10 = x

x = 10
4 0
3 years ago
Question 7: Find the value of x. The numbers below are in degrees.<br> 140<br> S<br> 50<br> 20
Lyrx [107]

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

a=20              (Alternate interior angle)

d=b              (Alternate interior angle)           ...(i)

The value of angle d is

d=50-a

d=50-20

d=30

Using (i), we get

b=30

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

c+140=180

c=180-140

c=40

Now,

x=b+c

x=30+40

x=70

Therefore, the value of x is 70.

8 0
2 years ago
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