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Semenov [28]
3 years ago
10

Use the equation of the circle centered at the origin and

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

Step-by-step explanation:

The standard form of a circle is

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

If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:

(0-0)^2+(5-0)^2=r^2 and

0^2+5^2=r^2 so

r^2=25  Our circle's equation is

x^2+y^2=25

Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:

4^2+4^2=25

Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because

4^2+4^2>25

If the inequality < were true then the point would lie inside.

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7 0
3 years ago
Daniella is solving 8/9 divided by 4 find her mistake and correct it
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What is the slope of the line that passes through:<br> (6,5) and (-1,-4)<br><br><br> Thank You!
My name is Ann [436]

Answer:

m=\frac{9}{7}

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

m=\frac{-4-5}{-1-6}

m=\frac{-9}{-7}

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6 0
3 years ago
David is shoveling driveways to raise money for his Spring
Anna007 [38]

Answer:

Total savings  = $63  +  12 ( m)  

: m  = number of driveways shoveled

Step-by-step explanation:

Here, the money earned for each road David shovels = $15

The number of driveway shoveled by David = 12

The total money saved  David has after he is done with his work = $243

Now, The number of money saved by shoving 12 driveways  

= 12 x ( Money earned by shoveling 1 driveway)

= 12 x ( $15) = $ 180

Total savings  = His previous savings  + Money earned from Shovel work

⇒  $243  =   His previous savings + $ 180

⇒ His previous savings = $243  - $180 = $63

Now, we can write his total savings as:

Total savings  = $63  + 12 ( m)  

: m  = number of driveways shoveled

8 0
3 years ago
Solve. Justify your responses. a Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3
STALIN [3.7K]

Answer:

<em>m∠1 =  90°</em>

<em>m∠2 = 35°</em>

<em>m∠3 = 55°</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

m

Given that <4 = 35°

m

The sum of the angle on a straight line at point A is 180°. Hence:

90+m

The sum of angle in the triangle ABC is 180°, hence;

m

7 0
2 years ago
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