All categories

3 years ago

Consider the line y=2/3x-4

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

7 0

Answer:

parallel 2/3 slope

perpendicular -3/2

Step-by-step explanation:

in parallel lines the slope is the same

perpiticula lines are the opposite recipical

You might be interested in

How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

3 years ago

Which espression is equivalent to 7^(-2)*7^(6)

valina [46]

Answer: it’s A and D

Step-by-step explanation:

8 0

3 years ago

The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s leng

Sonbull [250]

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2(w^2 + 2w - 24) = 0

2(w+6)(w-4) = 0

w = {4, -6}

5 0

4 years ago

Solve for x . X+9 .. 2x-3 .

nadezda [96]

X + 9 = 2x - 3
-x -x 
 9 = x - 3
 +3 +3
 12 = x

6 0

3 years ago

Vikentia [17]

Answer:

water is Arthur's favorite drink

Step-by-step explanation:

The three drinks are lemonade, milk, and water.

If Paige's drink is a dairy product, milk would be the only answer there.

If Frank's drink comes from a fruit, lemonade would be the answer. Lemonade is made from lemons and sugar.

Water is the only choice left and Arthur is the only person who doesn't have a drink.

So, Arthur's favorite drink would be water.

5 0

3 years ago