First find the slope of the given line. 6x+4y=3. Isolate y. 4y=-6x+3, y=-3/2x+3/4.
The slope is -3/2. A perpendicular slope would equal the negative reciprocal of -3/2, which is 2/3.
The answer would be any line with a slope of 2/3 (ie y=2/3x-1).
To check, graph the given and derived equation.

6 0

3 years ago

sophie will draw one card at random and then roll a number cube. There are four cards. Each card has a picture of a shape. All p

Hunter-Best [27]

Answer:

Ok, let's calculate the number of possible outcomes:

First, let's see the events and the number of outcomes in each event:

Drawing a card --- 4 outcomes

Rolling a number cube ---- 6 outcomes.

The total number of outcomes will be equal to the product between the number of outcomes in each individual event, this is:

C = 4*6 = 24.

Now, suppose that you have a restriction like:

"What is the probability that you have an odd number in the number cube?"

Ok, let's do the same:

Drawing a card ---- 4 outcomes (the restriction does not affect this event)

Rolling a number cube ---- 3 outcomes (because there are only 3 odd numbers)

The number of combinations is:

C' = 4*3 = 12.

Then the probability will be the quotient between the number of outcomes that meet the condition and the total number of outcomes:

P = C'/C = 12/24 = 0.5

6 0

3 years ago

You have five quarts of paint. It takes 5/8 quart to paint each chair you are asked to paint. How many chairs can you paint? sho

ANTONII [103]

Answer:

8 chairs

Step-by-step explanation:

5/(5/8)=8

7 0

2 years ago

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