If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3

Answers

Answer 1

Answer:

[tex]m_2 = -\frac{3}{4}[/tex] -- (a)

[tex]m_2 = -\frac{7}{3}[/tex] -- (b)

[tex]m_2 = -\frac{1}{4}[/tex] --- (c)

[tex]m_2 = -3[/tex] -- (d)

Step-by-step explanation:

Given

[tex]a.\ m = \frac{4}{3}[/tex]

[tex]b.\ m = \frac{3}{7}[/tex]

[tex]c.\ m = 4[/tex]

[tex]d.\ m = \frac{1}{3}[/tex]

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

[tex]m_2 = -\frac{1}{m}[/tex]

This formula will be applied in solving these questions.

[tex]a.\ m = \frac{4}{3}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4/3 for m

[tex]m_2 = -\frac{1}{4/3}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{4}{3}[/tex]

Convert to *

[tex]m_2 = -1* \frac{3}{4}[/tex]

[tex]m_2 = -\frac{3}{4}[/tex]

[tex]b.\ m = \frac{3}{7}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 3/7 for m

[tex]m_2 = -\frac{1}{3/7}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{3}{7}[/tex]

Convert to *

[tex]m_2 = -1* \frac{7}{3}[/tex]

[tex]m_2 = -\frac{7}{3}[/tex]

[tex]c.\ m = 4[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

[tex]d.\ m = \frac{1}{3}[/tex]

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 1/3 for m

[tex]m_2 = -\frac{1}{1/3}[/tex]

Express as a proper division

[tex]m_2 = -1/ \frac{1}{3}[/tex]

Convert to *

[tex]m_2 = -1* \frac{3}{1}[/tex]

[tex]m_2 = -\frac{3}{1}[/tex]

[tex]m_2 = -3[/tex]


Related Questions

what are all the terms which are equivalent to the slope in a proportional relationship

Answers

Answer:

13

Step-by-step explanation:

well if you add the first parts then undwe rate the next you will get 13

Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)

Answers

-3/4,-2/3,-5/12,1/3,1 1/4, 1 5/12 these are all in the correct order,

Answer:

Step-by-step explanation:

b/c fractions are confusing  :D,  put them all in 12th to make it easier

4/12,  -8/12,  -9/12,  -5/12,  1  3/12,  1  5/12

now stick them in order

-9/12,  -8/12,  -5/12 , 4/12 ,  1  3/12,  1  5/12

now put them back to reduced form

-3/4,    -2/3,    -5/12,   1/3 ,    1   1/4,   1 5/12  

:)  better?

what's the ratio for 3 stars and 7 circles

Answers

Answer: 3:7

Step-by-step explanation:

There are 3 stars for every 7 circles, thus the ratio is 3:7.

Answer:

3 : 7.

Step-by-step explanation:

For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.

This is what it would look like: 3 : 7

With ratios, you could also write,

3 to 7

or

3 / 7

But 3 : 7 is most common :)

A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula, V = l · w · h, where V = Volume and l = length, w = width, and h = height. Which of the following situations best models the maximum capacity of the rectangular box shown below? Select all that apply.



V = 250 x2y2 cubic units
V = (10 xy)(10 xy) cubic units
V = (5y)(2x)(10xy)cubic units
V = 100 xy cubic units
V = 100 x2y2 cubic units

Answers

Answer:

1    3   4 i think im not fully sure

Step-by-step explanation:

Given the following list of numbers, find the mean. 5,6,12,2,5,12,14

Answers

Answer:

the mean is 8

Step-by-step explanation:

added them all together and divided by 7

The mean of numbers will be 8.

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

The numbers are,

⇒ 5,6,12,2,5,12,14

Now,

Since, The numbers are,

⇒ 5,6,12,2,5,12,14

Hence, The mean = 5 + 6 + 12 + 2 + 5 + 12 + 14 / 7

                             = 56/7

                             = 8

Thus, The mean of numbers will be 8.

Learn more about the mean visit:

https://brainly.com/question/1136789

#SPJ5

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

Do any of you know this??

Answers

70° is the right answer

Answer:

wouldn't be 70°?

Step-by-step explanation:

30 + 40 = 70

-4 > x - 3 find x in the equation

Answers

Answer:

X= -1

Step-by-step explanation:

WILL GIVE BRAINLIEST

Find the equation of the line

perpendicular to y=-2x + 1 that

also intersects the point (8, 2).

y- Hx+ 1

Enter

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?

Answers

Answer:

20 percent

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Hope this helps :)

what is the solution set of the inequality x+2/2≥-7-x/2

Answers

Answer:

[tex]x\geq - \frac{16}{3}[/tex]

Step-by-step explanation:

x +2/2 ≥ -7 - x/2

= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).

Ace Carlos

Answer:

[tex]x\geq \frac{-16}{3}[/tex]

Step-by-step explanation:

HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST

Answers

Answer: 1/36

Step-by-step explanation: 18 x 18 = 324

3 x 3 = 9

9/324 = 3/108 = 1/36

Answer:

1/36! good luck! :D

Step-by-step explanation:

Giving brainliest 7th grade math HELPPP

Answers

Answer:

p(Green and Sedan) = 1/3

Step-by-step explanation:

Total number of outcomes = 6

[Green-Sedan, Green-Sedan, Green-Truck, Purple-Sedan, Purple-Sedan, Purple-Truck]

Possible outcomes = 2

Probability = possible outcomes / total number of outcomes = 2/6 = 1/3

HOPE THIS HELPS YOU

Answer:

5/6= the first one

PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.

18.31 ft3

40.25 ft3

56.52 ft3

60.34 ft3

Answers

Answer:

56.52ft³ is the answer hope this helps

Answer:

3rd option hope this helps.

Step-by-step explanation:

Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?

Answers

Step-by-step explanation:

I think 21 dollars is the answer

A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you select a black tile?

Answers

Answer:

p( black) = 2/3

Step-by-step explanation:

4 white + 8 black = 12 tiles

P ( black) = number of black / total

                = 8 /12

                 = 2/3

What is the combined length of all the buttons longer than 1 inch

Answers

Answer:

Where is the problem to solve?

Step-by-step explanation:

3(3) + 3(2/3)......................

Answers

3 (3) + 3 (2/3) = 11

Could you describe the expression 2(3+4) as a product of two factors?​

Answers

the answer will be 10 just multiply the numbers

A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?

Answers

can yu show a picture

Lisa bought 16 1/2 pounds of sand for her
child’s sandbox she was building. What is
this in ounces?

Answers

16.5 pounds converted to ounces is 264oz.

HELP PLEASE AND THANKYOU!!!!

Answers

Answer:

51.3

Step-by-step explanation:

Formula For Tan: tan (angle) = opposite/adjacent

Opposite = 10

Hypotenuse = 8

tan (x) = opposite/adjacent

tan (y) = 10/8

y = tan⁻¹ (10/8)

y = 51.3401917459099

y = 51.3 (rounded)

Tip: tan⁻¹ is inverse of tan.

Therefore, y = 51.3

Hope this helped! <3

r/15≥-3 solve the inequality

Answers

Answer:

r≥-45

Step-by-step explanation:

r/15≥-3

Multiply each side by 15

r/15 * 15 ≥-3*15

r≥-45


Which is the simplified form of the expression

2
(2-3)(x+3)(2)
(4-2)(x4)(13)
?

Answers

Answer:

x= 5 whole number and 2/15

Step-by-step explanation:

Can someone please help me on this? I've been trying for hours and can't seem to find the answer.

Answers

Answer: The area of the shape is 90 ft.

Step-by-step explanation:

Draw a line so the shape looks like a triangle and small rectangle.

First, we have to find the area of the rectangle.

Area of rectangle: length x width

The rectangle has a length of 6 ft and a width of 3 ft.

Area of rectangle: 6 x 3 = 18 ft

Now to find the area of the triangle.

Area of triangle: 1/2 x base x height

The triangle's base: 15 - 3 = 12

The triangle's height: 6 + 6 = 12

Area of the triangle: 1/2 x 12 x 12

= 1/2 x 144 = 72ft

To find the area of the entire shape you have to add the area of the rectangle and triangle together.

Area of shape = Area of rectangle + Area of triangle

A of shape = 18 ft + 72 ft

The area of the shape is 90 ft.

Hope that helped!

In a zoo theres 5 tigers, 4 lions, and 7 cheetahs. What is the ratio of Cheetah: Tiger?

7:4

4:7

5:7

5:4

7:5

Answers

Answer:

7:5

Step-by-step explanation:

there are 7 cheetahs and 5 tigers soooooo

the probability of getting less than 3 in a single throw of a dice is​

Answers

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats. Let A= the total number of animals. Let C = the number of cats.

Answers

I do not know what answer you are looking for, but A would be double the amount of C. Without the number of cats, I do not know the total number of animals, vice versa.

Answer questions 3,4, and 7.

Answers

3). They all equal eight. Set 2(x-6) and 3x-20 equal to each other, then solve.

You can apply this to the other problems as well, I hope this helps :)

f a car travels 400 m in 20 s, how fast is it going?

Answers

400/20
20m/s
..............................

Answer:

20m/s

Step-by-step explanation:

Given, s=400m

t=20s

Required, v=?

v=s/t

=400m/20s

=20m/s

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