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musickatia [10]
3 years ago
9

What is the slope of all lines perpendicular to the line y=(2/3)x+7

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

The slope is -3/2

Step-by-step explanation:

<u>A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal. </u>

Example:  Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into <u>-1/3 </u>

Problem:  Find the line perpendicular to y = (2/3)x + 7

First, you flip the sign which makes 2/3 into -2/3

Next, you make the reciprocal which makes -2/3 into <u>-3/2</u>

Answer:  The slope is -3/2

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Plz answer no fake stuff plz
Assoli18 [71]
<h3>3 Answers:</h3>
  • A) The product of the area model is 3055
  • D) The missing number is 200
  • E) The model shows 47 x 65

=======================================================

Explanation:

The first number along the top is 40, and it multiplies with the second number along the side to get 40 x 5 = 200

You can think of it as 4 x 5 = 20, then you tack on an extra 0 to the '4' and to the '2' as well, so it keeps things balanced.

So this explains how choice D is one of the answers.

-------------------------

After 200 fills in that question mark, we'll have these four numbers inside the table: 2400, 420, 200, and 35

Those four values add up to: 2400+420+200+35 = 3055

This shows that choice A is one of the answers.

--------------------------

Finally, choice E is the third answer because along the top we have 40+7 = 47, and along the side we have 60+5 = 65

Put another way, the total top length is the sum of the two smaller pieces of 40 and 7, which explains how the total top length is 47 units long. A similar argument happens for the left side values as well.

We ultimately have a rectangle that is 47 units across in the horizontal direction, and 65 units tall in the vertical direction.

With your calculator, you should note that 47*65 = 3055 to help confirm everything lines up.

--------------------------

Extra info:

Choice B is false because this contradicts choice D.

Choice C is false because it contradicts choice E

3 0
2 years ago
Find the perimeter of a rectangle that is 7 centimeters long and 7 centimeters wide
spayn [35]

Answer:

28cm

Step-by-step explanation:

2L+2W=

14+14=28

(It’s a square)

4 0
3 years ago
The number of donuts produced by a machine is directly proportional to the time the machine runs . The machine produces 380 donu
mrs_skeptik [129]

Answer:

855 donuts

Step-by-step explanation:

380/20 = 19 donuts per minute

19 × 45 = 855

5 0
3 years ago
Tonisha has a lemonade stand. She has 31 dollars in expenses and wants to make at least 66 dollars per day. If x represents the
MAVERICK [17]

Answer:

x-31(Greater than or equal to)66 -->x(greater than or equal to)97

Step-by-step explanation:

SHe wants to make a profit of 66, but with 31 bucks in expenses, this would need the revenue to be greater than 97 to cover the expenses and still make the profit

5 0
3 years ago
Please help do not guess please
Alex Ar [27]

Answer:

2x-3 = -11

Step-by-step explanation:

|2x-3| = 11

by definition of absolute numbers,

2x-3 = 11 (given)

or

2x-3 = -11 (answer)

8 0
3 years ago
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