3 years ago

What is the common difference between successive terms in the sequence?

Mathematics

1 answer:

trasher [3.6K]3 years ago

4 0

The answer is 6, because 8-2=6 ; 14-8=6 ; 20-14=6 and so on.

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Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The di

Vesna [10]

Hello!

Let's put this into a system of equations and have a represent the apples and o represent the oranges.

o=2a+2
0.5o-0.5a=4

Since we can already so what o equals (2a+2) we will substitute it into the second equation and solve for a.

0.5(2a+2)-0.5a=4
1a+1-0.5a=4
1.5a+1=4
1.5a=3
a=2

Now that we know the value of a will put a into the first equation to find o.

o=2(2)+2
o=4+2
o=6

There were 6 oranges and 2 apples.

I hope this helps!

3 0

3 years ago

Find all points having an x coordinate of -3 whose distance from the point (-6,5) is 5

Scorpion4ik [409]

Ok
distance formula

D= $\sqrt{(x1-x2)^2+(y1-y2)^2}$
given
distance between (-6,5) and (-3,y) is 5
5= $\sqrt{(-6-(-3))^2+(5-y)^2}$
5= $\sqrt{(-6+3)^2+(5-y)^2}$
5= $\sqrt{(-3)^2+(5-y)^2}$
5= $\sqrt{9+y^2-10t+25}$
5= $\sqrt{y^2-10t+34}$
square both sides
25= $y^2-10t+34$
minus 25 both sides
$0= y^2-10t+9$
factor
0=(y-9)(y-1)
set to zero
0=y-9
9=y

0=y-1
1=y

the points are (-3,1) and (-3,9)

3 0

3 years ago

A researcher wants to estimate the likelihood that the baseball player will hit 2 home runs in a single game, given that the pla

gizmo_the_mogwai [7]

A its it hope it is okkkkkkk

5 0

3 years ago

If X+Y = 2 and the square root of (X^2 + Y^2) = 10 find X, Y

kondor19780726 [428]

X+y = 2

(2*2 + 2*2)
(4 + 2*2)
(4 + 4)
= 8

4 0

3 years ago

A battery has enough energy to operate eight toy bears for 21 hours. For how long could the battery operate 15 toy bears?

il63 [147K]

Answer:

28 hours for 15 toy bears

Step-by-step explanation:

hope this helps

8 0

4 years ago