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kakasveta [241]
3 years ago
7

If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle? A) (x

− 8)2 + (y − 5)2 = 13 B) (x + 8)2 + (y + 5)2 = 13 C) (x − 8)2 + (y − 5)2 = 13 D) (x + 8)2 + (y + 5)2 = 13
Mathematics
2 answers:
Natalka [10]3 years ago
6 0

Answer: D) (x+8)2 +( y+5)2 = 13

Step-by-step explanation:

Got this right on USA test prep

kolbaska11 [484]3 years ago
4 0
Selections B and D both appear to be appropriate.
  B) (x+8)² + (y+5)² = 13
  D) (x+8)² + (y+5)² = 13

_____
The center is at the midpoint of the diameter, ((-10-6)/2, (-8-2)/2) = (-8, -5). For center (h, k) and radius r, the equation is
  (x -h)² +(y -k)² = r²
  (x -(-8))² +(y -(-5))² = (√13)²
  (x+8)² + (y+5)² = 13
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Factor completely.<br> 5x4 + 35x3– 150x2
Igoryamba

5x^4+35x^3-150x^2

=  

5x^2(x-3) ---> (x+10)

3 0
3 years ago
The M&amp;M’s website says that 24% of milk chocolate M&amp;M’s are blue. Suppose that we buy 5 small packets of milk chocolate
SVEN [57.7K]

Answer:

The correct option is A: 24%, 24%, 24%, 24%, 24%

Step-by-step explanation:

Since the overall probability of M&M's produced is stated as 24% and the packets are filled with different colored candies at random, the probability of blue colored candies in each packet cannot be ascertained individually.

Hope that answers the question, have a great day!

7 0
3 years ago
Which logarithmic equation is equivalent to this exponential equation? <br><br> 12=5^x
Brut [27]

Given:

The equation is:

12=5^x

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

a=b^x\Leftrightarrow \log_b a=x

We have,

12=5^x

Here, a=12,b=5. By using the above property of logarithm, we get

\log_{5}12=x

x=\log_{5}12

Therefore, the correct option is C.

5 0
3 years ago
The improper fraction 8/5 is equivalent to
olga2289 [7]
8/5

We have to just divide.

Here 1 is the quotient while 3 is the remainder when 8 is divided by 5.

So, 8/5 is also equal to 1 3/5.

Hope This Helps You!
6 0
3 years ago
I went to the grocery store the other day and there were no price tags on anything! I bought 3 loaves of bread and 1 milk jug an
Lostsunrise [7]
To solve this problem, set up and solve a system of equations.  The variables b and m will represent a bread loaf and milk jug, respectively:

\left \{ {{3b + m = 9} \atop {b + 2m =5.5}} \right.

I would solve using substitution.  Take one of the equations and set it equal to one of the variables, for example:

3b + m =9 \\ m = 9 -3b

Now, plug this into the other equation for m and solve for b:

b + 2m =5.5 \\ b + 2(9-3b)= 5.5 \\ b + 18 - 6b = 5.5 \\ -5b + 18 = 5.5 \\ -5b = -12.5 \\ b = 2.5

We now know that a loaf of bread costs $2.50.  Plug this value in for b in the first equation and solve for m:

3b + m = 9 \\ 3(2.5) + m = 9 \\ 7.5+m = 9 \\ m = 1.5

One jug of milk costs $1.50 and one loaf of bread costs $2.50.
8 0
3 years ago
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