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galben [10]
3 years ago
10

12, 6, 0, -6, What is the common difference in the following arithmetic sequence

Mathematics
2 answers:
iren [92.7K]3 years ago
5 0

Answer:

every step you subtract 6 so the common difference is -6

ivanzaharov [21]3 years ago
3 0

Answer:

-6

Step-by-step explanation:

In an arithmetic sequence, the common difference is the difference between each number in the sequence.

In this sequence, the common difference is -6 because from left to right, we can see that the numbers decrease by 6 each time.

For example, 12 - 6 = 6.

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The sum of two numbers is 12. The first number,x, is twice the second number ,y,
vlada-n [284]
Judging by the question at hand I generated this equation.
x+y=12
x=2y

I begin this question by plugging in the x=2y into the equation for x. 
So the new equation should be 3y=12. I then divide the entire equation by 3 to get y=4.

Next I plug y=4 into the equation, the new equation should be x+4=12. I then subtract 4 from both sides to get x=8.

The two numbers are :
x=8 y=4
3 0
3 years ago
I need someone to help me solve this
andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Calculate C by adding corresponding components of A + B

C = \left[\begin{array}{ccc}4\\-7.5\\\end{array}\right] + \left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]

= \left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]

= \left[\begin{array}{ccc}1.5\\-2.5\\\end{array}\right]

8 0
3 years ago
Read 2 more answers
Write the standard equation for the hyperbola with the following conditions: vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (
STALIN [3.7K]
Hello,

Vertices are on a line parallele at ox (y=-3)

The hyperbola is horizontal.

Equation is (x-h)²/a²- (y-k)²/b²=1

Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and  2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)

Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6

c²=a²+b²==>b²=36-4²=20

Equation is:
\boxed{ \dfrac{(x-2)^2}{16} - \dfrac{(y+3)^2}{20} =1}





8 0
3 years ago
3 + 2p - 4 = 11<br><br> algebra 1 solving equations
leonid [27]

Answer: the variable is p=6 .

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

8 0
3 years ago
Read 2 more answers
-18,-13,-8,-3,....<br><br> Find the above sequential formula
zhuklara [117]

The first term (a) is - 18

You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.

Formula

d = t4- t3

Givens

t4 = - 3

t3 = - 8

Solution 1

d = t4 - t3             Substitute

d = -3 -  ( - 8)        Remove the brackets

d = -3 + 8             Combine  

d = 5                    Difference

Remark

Find the general formula

tn = - a + (n - 1)d      Substitute

So term 20 =           Example    

t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets

t20 = - 18 + 19*5          Combine 19 and 5          

t20 = -18 + 95              "Subtract"

t20 = 77                        Answer

5 0
3 years ago
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