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Stells [14]
3 years ago
14

SOMEBODY PLEASE HELP ME!!!!! PLEASE!!!! I WILL AWARD BRAINLIEST!!!!

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer:

k-n+1

Step-by-step explanation:

How many numbers are written from n to k

Lets look at a smaller example with real number

Lets go from 3 to 8

3 4 5 6 7 8

There are 6 numbers

We take 8 -3 = 5,  but we include the number 3 so we add it back in +1

5+1 =6

Lets look at a larger example

2 to 11

2,3,4,5,6,7,8,9,10,11

There are 10 numbers

11-2 =9  but we have to add back in the first number

9+1 =10

Now we are going from n to k

k-n = k-n, but we have to add back in the first number

k-n+1

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Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and e
iragen [17]

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

5 0
2 years ago
x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 6x − 8y − 10 = 0 (x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y −
snow_tiger [21]
For this case, what we must do is fill squares in all the expressions until we find the correct result.
 We have then:
 
 x2 + y2 − 4x + 12y − 20 = 0 x2 + y2  − 4x + 12y = 20
 x2  − 4x + y2 + 12y = 20
 x2  − 4x + (12/2)^2 + y2 + 12y  + (-4/2)^2 = 20 + (12/2)^2 + (-4/2)^2
 x2  − 4x + (6)^2 + y2 + 12y  + (-2)^2 = 20 + (6)^2 + (-2)^2
 x2  − 4x + 36 + y2 + 12y  + 4 = 20 + 36 + 4
 (x − 2)2 + (y + 6)2 = 60 

 
3x2 + 3y2 + 12x + 18y − 15 = 0 
 
x2 + y2 + 4x + 6y − 5 = 0 
 x2 + y2 + 4x + 6y  = 5 
 x2  + 4x + (4/2)^2 + y2 + 6y + (6/2)^2 = 5 + (4/2)^2 + (6/2)^2 
 x2  + 4x + (2)^2 + y2 + 6y + (3)^2 = 5 + (2)^2 + (3)^2 
 x2  + 4x + 4 + y2 + 6y + 9 = 5 + 4 + 9 
 (x + 2)2 + (y + 3)2 = 18 

 2x2 + 2y2 − 24x − 16y − 8 = 0
 x2 + y2 − 12x − 8y − 4 = 0
 x2 + y2 − 12x − 8y = 4 
 x2 − 12x + (-12/2)^2 + y2 − 8y + (-8/2)^2 = 4 + (-12/2)^2 + (-8/2)^2
 x2 − 12x + (-6)^2 + y2 − 8y + (-4)^2 = 4 + (-6)^2 + (-4)^2
 x2 − 12x + 36 + y2 − 8y + 16 = 4 + 36 + 16
 (x − 6)2 + (y − 4)2 = 56 

 x2 + y2 + 2x − 12y − 9 = 0
 x2 + y2  + 2x - 12y = 9
 x2  + 2x + y2 - 12y = 9
 x2  + 2x + (2/2)^2 + y2 - 12y  + (-12/2)^2 = 9 + (2/2)^2 + (-12/2)^2
 x2  + 2x + (1)^2 + y2 - 12y  + (-6)^2 = 9 + (1)^2 + (-6)^2
 x2  + 2x + 1 + y2 - 12y  + 36 = 9 + 1 + 36
 (x + 1)2 + (y − 6)2 = 46
7 0
3 years ago
Sadie was using a metal spoon to eat her soup and her spoon became hot. Which correctly describes the process that caused the sp
IrinaK [193]

Answer:

The answer is D metal is a connductor that is why many of our hot appliances such as grills, ovens, and hot iron tools are metal

Step-by-step explanation:

brainlest plz

6 0
2 years ago
Read 2 more answers
What's -3+(0+9) ?? <br> I need to know by tonight
Crank
The answer is 6.
To do this, remember PEMDAS? 
You would first have to add what is in the parenthesis THEN do -3 + 9 to get 6. 
6 0
2 years ago
Read 2 more answers
Find the area of the polygon
antoniya [11.8K]

Looks like the larger triangle is equilateral (well, it must be, otherwise finding the area is impossible). That means the inradius is 6 and the outradius is 12, which is to say the altitudes (equal to the height, in this case) of this triangle have length 6 + 12 = 18.

In the smaller right triangle, the length of the missing leg is half the base of the larger triangle; call this length \frac b2 By the Pythagorean theorem,

6^2+\left(\dfrac b2\right)^2=12^2\implies b=12\sqrt3

Then the area of the larger triangle is

\dfrac12(12\sqrt3)(18)=\boxed{108\sqrt3}

3 0
3 years ago
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