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Alexus [3.1K]
2 years ago
8

What is the slope of a line that is perpendicular to the line whose equation is 3x 2y=6?

Mathematics
1 answer:
finlep [7]2 years ago
6 0

<u>2/3  i</u><u>s the</u><u> slope </u><u>of a line that is perpendicular to the line whose equation is 3x 2y=6.</u>

What is slope?

  • Slope, Numerical measure of a line's inclination relative to the horizontal.
  • In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

we can find the slope from the equation that is given buy solving the equation for y

3x+2y = 6

2y = 6-3x

y = 3-3/2x

y = -3/2x+3

now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2

perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have

-3/2 → 3/2 → 2/3

Therefore, the slope of the perpendicular line is 2/3.

Learn more about slope

brainly.com/question/3605446

#SPJ4

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Leon graph y=12- 0.05 x to represent the number of gallons of gas left in his car after driving x miles.
mario62 [17]

Answer:

B

Step-by-step explanation:

Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, <u><em>it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.</em></u>

<u><em /></u>

As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.

So we can say that the range is  0 ≤ y ≤ 12

Correct answer is B

5 0
3 years ago
You select a card from a standard shuffled deck of 52 cards. Without replacing, you select another card. Find the probability th
Angelina_Jolie [31]

In a standard shuffled deck of 52 cards, half of the cards are black and half of the cards are red: (26 black cards, 26 red cards).

Since we are interested in pulling a black card first, the probability is 26/52.

Without replacing the card we have chosen, we are left with 51 total cards in the entire deck (25 black cards, 26 red cards).

Now that we want to pull a red card, we know that the probability will be 26/51.

Since we are interested in both events occurring simultaneously, we must multiply the probability of the first by the probability of the second, aka: (26/52) * (26/51)

The answer we are given is 0.2549

8 0
3 years ago
Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square ya
saul85 [17]

For this case we assume that the photo album is rectangular in shape and therefore the fabric too. By definition, the area of a rectangle is given by:

A = a * b

Where:

a: It is the length of the rectangle

b: It is the width of the rectangle

According to the problem data we have to:

b =\frac {5}{8} \yard\\A = \frac {5} {16} \ yards ^ 2

Substituting:

\frac {5} {16} = a * \frac {5} {8}

We clear "a":

a = \frac {\frac {5} {16}} {\frac {5} {8}}\\a = \frac {5 * 8} {16 * 5}\\a = \frac {8} {16}\\a = \frac {1} {2}

Thus, the length of the fabric is \frac {1} {2} yards.

ANswer:

The length of the fabric is\frac {1} {2} yards.

5 0
4 years ago
Gloria earns 1.5 times her normal hourly pay for each hour that she works over 40 hours in a week. Here normal pay is $9.70 per
svetoff [14.1K]
She earns ($9.70x40) for a 40 hour week=$388
She earned $489.85-$388 extra= $101.85
She gets paid $9.7x1.5 for every extra hour=$14.55
She worked $101.85/$14.55 hours extra=7hours
She worked 7+40 hours that week=47 hours
5 0
3 years ago
Can someone help me pls it due In the next two hrs
Lubov Fominskaja [6]

Answer:

1. More magnets are longer than 2 1/2

2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers

3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.

Step-by-step explanation:

1.  There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)

5 0
3 years ago
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