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ohaa [14]
3 years ago
11

Find the sum of each row in pascals triangle. is there a pattern

Mathematics
1 answer:
Svetach [21]3 years ago
4 0
The first 1 in 1 contains two 1's , both formed by adding the two numbers above them to the left and the right in this case 1 and 0(all numbers outside the triangle are 0's).Do the same to create the second row :0+1 =1;1+0=1;1+1=2;1+0=1;And the third row you put:0+1 =1;1+2=3;2+1 =3;1+0=1
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The equation of a circle in general form is ​x2+y2+20x+12y+15=0​ .
Harlamova29_29 [7]

Answer:

(x +10)^2 + (y+6)^2 = 121

Step-by-step explanation:

Given equation :

                        x^2 + y^2 + 20x +12y + 15 = 0

Standard equation of circle :

                                            (x - a)^2 + (y-b)^2 = r^2

We will consider the x terms in the equation first to find a.

(x-a)^2 = x^2 - 2ax + a^2

-2ax = 20x

a = -20x/2x = -10

a = -10

Next consider the y terms to find b.

(y - b)^2 = y^2 -2by + b^2

-2by = 12y

b = -12y /2y = -6

b = -6

(x+10)^2 + (y-6)^2 = x^2 +20x +100 + y^2 +12y + 36

                             =x^2 + y^2 + 20x +12y + 136\\

But the given equation constant is 15. So find the difference between 136 and 15 to find the radius : 136 - 15 = 121

Therefore, radius = √121 = 11

<em><u>Equation in standard form : </u></em>

                                         (x +10)^2 + (y+6)^2 = 121

5 0
3 years ago
Jordan has a checking account. he withdrew $90 from an ATM Tuesday. Thursday he deposited $20. Friday he wrote a check for $15 w
AleksandrR [38]

Answer:

The total change in his account is of -$85, that is, a loss of $85

Step-by-step explanation:

We combine these changes. So

On Tuesday, he withdrew $90 from his account, which means that, the total change, initially of $0, is now of -$90.

On Thusday, he deposited $20, which means that the total change of -$90 is now of -$90 + $20 = -$70

On Friday, he wrote a check of $15, removing 15 from his account, which means the total change will be of -$70 -$15 = -$85

8 0
3 years ago
A 33​-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
GaryK [48]

Answer:

the shorter piece is 11 inches long

Step-by-step explanation:

x+2x=33in

3x=33in

33/3 = 11 =x

8 0
3 years ago
Caleb is making a soil mix that is 8 parts dirt to 3 parts peat moss. Which of the following best describes the amount of dirt?
mrs_skeptik [129]

Answer:

D

Step-by-step explanation:

i think its D :)

8 0
3 years ago
Read 2 more answers
rearrange the following linear equation into y=mx+b form and identify the slope and the y intercept 2y=2x+6
damaskus [11]

Answer:

Step-by-step explanation:

we need the equation to be like y=mx+b so we have to simplify our equation

2y=2x+6

divide everything by 2

so it’s y=x+3 and that’s ur answer

6 0
3 years ago
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