You should first of all rewrite the equation in slope intercept form. You should get y=2/3x-2. The perpendicular slope is the opposite reciprocal, in this case -3/2. You will use this slope and the point to write your equation in point slope form and then clean this up to get it into slope intercept form. You should get y=-3/2x-6

5 0

2 years ago

Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 8 – (–6)

Sauron [17]

We draw 10 white tiles.

Then we shade in 9 of them.

We count the remaining tiles to get the answer, which is 1.

4 0

2 years ago

Read 2 more answers

Solve the system of two equations 2y=8 and 15y=2x-4

damaskus [11]

To find y, divide the first equation by 2.
y = 4

To find x, use that value for y in the second equation. Add 4, then divide by 2.
15·4 = 2x -4
60 +4 = 2x
64/2 = x = 32

The solution is (x, y) = (32, 4).

8 0

3 years ago

Can someone help me with this?

Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

3 0

2 years ago