Question 10 (45 points)<br> Which pair of triangles is congruent by ASA?<br> OL<br> th

The function f(x)=(25)x is shown on the coordinate plane.

andre [41]

It is a straight line

3 0

3 years ago

Read 2 more answers

Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0

miss Akunina [59]

<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

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

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^2+y^2-2x+4y-11=0$

So, solving we have:

$x^2+y^2-2x+4y=11$

$(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16$

$(x^2-1)+(y^2-(-2))=16$

Now, we have that:

$h=1\\k=-2\\r=\sqrt{16}=4$

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0

4 years ago

Identify the center and radius of the circle with the following equation:<br> 〖(x+3)〗^2+〖(y-1)〗^2=81

kirill115 [55]

Answer:

centre (3 ,-1) , r=9

Explanation:

The standard form of the equation of a circle is.

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

a

∣

−−−−−−−−−−−−−−−−−−−−−−−−−

where (a,b) are the coordinates of the center and r , the radius.

For the given equation: a = 3 , b = -1 and r = 9

hence centre = (3 ,-1) and radius = 9

Step-by-step explanation:

4 0

2 years ago

What is the coefficient of q in the sum of these two expressions?<br><br> (23q – 34) and (–16q – r)

Zigmanuir [339]

Answer:

The coefficient of q is 7

Step-by-step explanation:

The two expressions are

(23q – 34) and (–16q – r)

and .

(–16q – r)

The sum of the two expressions is

23q - 34 + -16q - r

When we group like terms the expression will be,

=23q - 16q - r - 34

When we simplify the expression will now be

=7q - r - 34

The coefficient of q is the constant behind q in the expression.

The coefficient of q is therefore 7.

5 0

2 years ago

Two fair dice are tossed.

poizon [28]

there are 6 possibilities on each dice. Therefore 6 x 6 = 36 possible outcomes.

What is the probability that the sum of the number of dots shown on the upper faces is equal to 7?

1,6 2,5 3,4 4,3 5,2 6,1 there are 6 possible ways to get 7

6/36 = 1/6 = .1666...

What is the probability that the sum of the number of dots shown on the upper faces is equal to 11?

5,6 6,5 there are 2 possible ways to get 11

2/36 = 1/18 = .0555...

What is the probability that you roll "doubles" that is, both dice have the same number on the upper face?

1,1 2,2 3,3 4,4 5,5 6,6 there are 6 possible ways to get doubles

6/36 = 1/6 = .1666...

What is the probability that both dice show an odd number?

1,1 1,3 1,5 3,1 3,3 3,5 5,1 5,3 5,5 there are 9 possible ways that both dice show an odd number

9/36 = 1/4 = .25

5 0

3 years ago

Question 10 (45 points) Which pair of triangles is congruent by ASA? OL th