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Lilit [14]
3 years ago
8

Find an equation of the circle with center at (-2,3) that is tangent to the y-axis in the form of (x-a)^2+(y-b)^2=c where a, b,

c are constants.
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0
 hello : 
the center is : (a,b) when : a = - 2 and b= 3 
an equation y-axis is x= 0
the ridus is the distance betwen the center and y-axis :
r = |(1)(-2)+(0)(3)+0 |/<span>√((1)²+(0)²) = 2/1 =2
so : c=4.....( c = r²)
</span><span> an equation of the circle is : (x+2)²+(y-3)² = 4</span>
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Find the distance between (-3, 11) and (-6,4).Round to the nearest then the
Likurg_2 [28]

Answer:

d =7.6

Step-by-step explanation:

(-3,11) =(x_1,y_1)\\(-6,4)=(x_2,y_2)\\\\\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\=\sqrt{\left(-6-\left(-3\right)\right)^2+\left(4-11\right)^2}\\= \sqrt{(-6+3)^2+(4-11)^2}\\ \\d= \sqrt{(-3)^2+(-7)^2} \\\\d = \sqrt{9+49}\\ \\d = \sqrt{58}\\\\d = 7.61577\\\\d =7.6

3 0
3 years ago
HELP PLEASE ASAPPPP!!
MakcuM [25]

Answer:

12

Step-by-step explanation:

(10/y + 13) -3

Let y=5

(10/5 + 13) -3

PEMDAS says parentheses first

(2 +13) -3

15 -3

12

6 0
3 years ago
What is the value for x
Sloan [31]
Because this is a right angle triangle, we can use the Pythagorean theorem to find the missing leg.

The Pythagorean theorem is this: a^{2} + b^{2} = c^{2}

The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.

We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.

24^2 + b^2 = 26^2

Solve for b.

24^2 + b^2 = 26^2
576 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100

Take the square root of both sides.

b = 10

So, the other leg of the triangle is 10 units long.
8 0
3 years ago
Read 2 more answers
Solve for x.<br><br> 3/5x + 1/4x=51<br> x=?
Tanzania [10]

Answer:

x=60

Step-by-step explanation:

3/5x + 1/4x=51

12/20x+5/20x=51

17/20x=51

17x=1020

x=60

Double-Check:

3/5(60)+1/4(60)=51

180/5+60/4=51

36+15=51

51=51

Hope it helped!

5 0
3 years ago
Read 2 more answers
Please hurry 14PTS 3 QUESTIONS
goldfiish [28.3K]

Answer:

a) 1/6 b) 0.11

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome

If a two six-sided number cubes are rolled e.g 2dice, the total number of sample space is expressed as 6^n where n is 2(since only 2 six sided cubes are rolled)

Total outcome of event = 6² = 36

If sum of 7 are generated after rolling, the expected outcome will be:

E = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)}

Note that each of the list will given a sum of 7

Total expected outcome = 6

Probability that a sum of 7 is rolled

= 6/36

= 1/6

b) Similarly, if a product of 12 is rolled, the expected outcome of event are:

E = {(2,6),(6,2),(3,4),(4,3)}

Expected outcome = 4

Note that the product of each outcome will give us 12.

Probability that a product of 12 is rolled = 4/36

= 1/9

= 0.11 (to nearest hundredth)

3 0
3 years ago
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