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eimsori [14]
3 years ago
12

Explain How you got that answer

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

\huge\boxed{Center= (-3,4) , Radius = 5\sqrt{2} }

Step-by-step explanation:

<u><em>Given equation is </em></u>

<u><em></em></u>x^2 + y^2 + 6x-8y - 25 = 0

Adding 25 to both sides

x^2 + y^2 +6x-8y = 25

Completing squares

x^2 +6x +y^2 - 8y = 25\\(x)^2-2(x)(-3) + (y)^2 - 2(x)(4) = 25

Both of their "b" is -3 and 4 respectively

So, adding (-3)² => 9 and (4)² => 16 to both sides

(x+3)^2 + (y-4)^2 = 25 + 9 + 16\\(x+3)^2 + (y-4)^2 = 50\\(x-(-3))^2 + (y-4)^2 = (5\sqrt{2)^2}

Comparing it with (x-h)^2+(y-k)^2 = r^2, where center = (h,k) and radius = r.

We get:

Center = (-3,4)

Radius = 5\sqrt{2}

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A baker uses 1.5 tsp of vanilla extract in each cake. how much vanilla extract in liters should the baker order to make 800 cake
aleksandrvk [35]

1.5 tsp x 800 cakes = 1200 tsp.

 1 tsp = 5 ml

1200 x 5 = 6000 ml

1 ml = 0.001 liter

6000 x 0.001 = 6 liters

8 0
3 years ago
What is the answer I'm very confused???????
Tanzania [10]
It is answer C because 59/18 is equal to 3 5/18
6 0
3 years ago
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
HELP ME PLZ
nadezda [96]

Answer:

BD does bisect the angle created by ABC, however it does not bisect segment AC. So it really depends on what you are determining the bisection to be.

Step-by-step explanation:

We can tell that it is bisecting the angle since it creates two congruent angles.

We can tell that it does not bisect the segment as AD and CD are not the same length.

5 0
3 years ago
ALSO WORTH 50 POINTS Which graph matches the inequality: 2(4x - 5) &lt; 14x + 8?
ss7ja [257]

Answer:

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3


6 0
3 years ago
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