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tia_tia [17]
3 years ago
11

I have 2 questions. Please help me with them. Thank you.

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0
(x+8)^(2) + (y+9)^(2) = 169
(x+8)^(2) + (y+9)^(2) = 13^2

h = -8
k = -9
r = 13

answer
A. center (-8,-9)
radius = 13



--------------


(x-7)^2  + y^2 = 225
(x-7)^2  + y^2 = 15^2

h = 7
k = 0
r = 15

answer
B. center (7,0)
radius = 15
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What is the coefficient in the term k?<br> A.0<br> B.1<br> C.2<br> D.k
Amiraneli [1.4K]

9514 1404 393

Answer:

  1

Step-by-step explanation:

The constant multiplier of k in the term "k" is 1.

The coefficient is 1.

4 0
2 years ago
The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
3 years ago
For the graph shown to the right, find (a) AB to the nearest tenth and (b) the coordinates of the midpoint of AB.
Shkiper50 [21]
AB =

\sqrt{( {4 -  (- 2))}^{2}  +  {( - 5 + 3)}^{2} }  =  \sqrt{40}  = 6.3
The midpoint os segment AB =

(( \frac{ - 2 + 4}{2} ) = the \: x \: coordinate \: of \: the \: midpoint \\  \\ ( \frac{ - 3 - 5}{2})) = the \: y \: coordinate \: of \: the \: midpoint
The midpoint is:

(1,-4)
8 0
3 years ago
Which value is equivalent to (7x5x2/7x3)^2 x (5^0/2^-3)^3 x2^-9?
koban [17]

Answer:

100/9

Step-by-step explanation:

(7*5*2/7*3)² * (5^0/2^-3)³ * 2^-9

Solution:

We know that any number with power 0 = 1

(7*5*2/7*3)² * (1/2^-3)³ * 2^-9

Now cancel out 2 by 2

= (7*5*2/7*3)² * (1/1^-3)³ * 1^-9

=(70/21)² * (1)³/(1^-3)³ * 1^-9

=(10/3)^2 * 1/1^-1 * 1/1^9

=100/9 *1 *1

=100/9....

7 0
3 years ago
Use the distributive property to remove the parentheses. -9(-u^3-4+6v^2)
I am Lyosha [343]

Answer:

9u^3 - 54v^2 + 36

Step-by-step explanation:

Multiply -9 by all inside segments.

^.^

- Amanda

8 0
3 years ago
Read 2 more answers
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