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ale4655 [162]
3 years ago
14

Describe the graph that is produced by the equation (x-7)^2+(y+5)^2>25

Mathematics
1 answer:
Alborosie3 years ago
8 0

Step-by-step explanation:

The equation will form a circle because it in the form of

(x - h) {}^{2}  + (y  - k) {}^{2}   =  {r}^{2}

First, let set the equation equal.

(x - 7) {}^{2}  + (y + 5) {}^{2}  = 25

Here the center will be (7,-5), and the radius of 5. The boundary line will be dashed

Since this is in the inequalities, we must find the solution set.

Plug in 0,0 for x and y and see if it's true.

(0 - 7) {}^{2}  + (0 + 5) {}^{2}   >  25

49 + 25 > 25

74 > 25

This is a true so we shade the region that includes 0,0

Since 0,0 has a greater distance from the center of the circle, 0,0 is outside of the circle, so our solution set will

be outside of circle.

Here a picture of graph,

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Step-by-step explanation:

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zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

<em>Lets explain how to find the measure of an angle from the length of the </em>

<em>sides of the triangle</em>

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

 to angle A is BC , the side opposite to angle B is AC and the side

 opposite to angle C is AB, So to find measure of angle A use the rule

 cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}

<em>Lets solve the problem</em>

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

 AC = 6 cm

- We need to find the measure of the largest angle

- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

∴ cos(C)=\frac{(6)^{2}+(10)^{2}-(14)^{2}}{2(6)(10)}

∴ cos(C)=\frac{36+100-196}{120}

∴ cos(C)=\frac{-60}{120}=-0.5

∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle

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* <em>The measure of the largest angle is 120°</em>

8 0
3 years ago
Read 2 more answers
(Angles) Only 14-17 please, do 15 if you want
Butoxors [25]

Answer:

N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80

Step-by-step explanation:

Because of vertical angles, 5x+20 = 3x+66.

5x=3x+46

2x = 46

x = 23

Sum of angles in a circle is 360

360-135-135=180

ABE = CBD because vertical angles.

180 / 2 = 90

16.

Sum of angles in triangle is 180

180=123-x-2-x-3

x = 31

123, 29, 28.

17.

Sum of angles in triangle is 180

180-72-28 = 80

K = 80

8 0
2 years ago
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