The equation of the line ​

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

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

Hello! :)

Parallel lines have the same slope.

If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.

Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:

[tex]7\\-7\\-\frac{1}{7}[/tex]

Hope it helps. Feel free to ask me if you have any questions.

~A determined teen

[tex]MagicalNature[/tex]

Answer:

45%

Step-by-step explanation:

200g milk chocolate

200g dark chocolate

= 400g of chocolate

x = the %

x/100 = 180/400

18000 = 400x

x = 45

45%

Answer: 95

Step-by-step explanation:

follow the order of operations P.E.M.D.A.S

First multiply 15 with 5 and you get 75. Next, 14+75=99

now for the last part 2^2 is 4

99-4=95

if it’s not 95 it’s 85

Answer:

-13+n

Step-by-step explanation:

n stands for a number

Answer:

greater than

Step-by-step explanation:

2/2 = 1

3/2 = 1 1/2

Answer:

(y - 9) - 8

Step-by-step explanation:

Answer:

id say D

Step-by-step explanation:

Think about it. It moves over tree times from the first spot. so D is most reasonable.

answer

The 3 lb bag of cat food would last for 4 weeks.

Step-by-step explanation:

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

Answer:

450 miles

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

45 miles for 1 gallon

Every gallon is 45 miles

This is the equation: 45 x G (gallon)

45 x 10 Gallons is 450

Answer:

Step-by-step explanation:

The base is 9

The exponent is 4

The expanded form is 9x9x9x9

The value of 9 to the fourth is 6,561

Answer:

The base is  ✔ 9

The exponent is  ✔ 4

Its expanded form is  ✔ 9 x 9 x 9 x 9

The value of 94 is  ✔ 6,561  

Step-by-step explanation: Got it right on Edge.

Answer:

1. 19/100

2. 3/10

3. 80%

4. 85%

5. 3/20

C.8.0×102

9514 1404 393

Answer:

  D)  4.8 MB per minute

Step-by-step explanation:

In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...

  (72 MB)/(15 min) = 4.8 MB/min

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

Answer:

A. 8/5

Step-by-step explanation:

first, you add the bottom and get 5 then you end up with 8 over 5 or answer choice A

Answer:

a

Step-by-step explanation:

g/2+3

g=8

8/2+3

2+3=5

g/2+3=8/5

Answer:

0

Step-by-step explanation:

Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

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Answer:

In four minutes Heather can ring up 52 maybe even 53 customers.

Step-by-step explanation:

To find this answer you would have to find how many customers Heather can rind up in one minute. To do this you can do 121 divided by 9 which equals about 13 so you can use 13. And then you would do 13 times 4 because that's how many minutes the question is asking for, and your answer would be about 52, so your answer is about 52 close to 53, you might not get an exact answer for a problem like this. :)

Answer: 129

Step-by-step explanation: 43•3=129

The correct translation will be;

⇒  left 8 units

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function is,

⇒ f (x) = x²

And, The graph after translation is,

⇒ g (x) = (x + 8)²

Now,

Since, The graph after translation is,

⇒ g (x) = (x + 8)²

And, The function is,

⇒ f (x) = x²

So, We can say that the translation used is,

⇒ left 8 units.

Thus, The correct translation is;

⇒  left 8 units

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Answer:

step 4 is correct because h-¹(x)=2x+5

Step-by-step explanation:

Total price = Marked price + Sales tax

= Marked price + (0.1 * Marked price)

= 1.1 * Marked price.

Since the total price is $660, the marked price is $660 / 1.1 = $600.

Option D is correct, tossing a coin 3 times is a simple event.

It is a branch of mathematics that deals with the occurrence of a random event.

A simple event is a single outcome or result of an experiment or probability experiment.

In option D, the simple event is tossing a coin once and getting either a heads or a tails.

Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).

However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.

In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.

Hence, Option D is correct, tossing a coin 3 times is a simple event.

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Answer:

x [tex]\leq[/tex] -4

Step-by-step explanation:

1. 3x-12 [tex]\geq[/tex] 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x [tex]\geq[/tex] 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x [tex]\geq[/tex] 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x [tex]\geq[/tex] -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x [tex]\leq[/tex] -4

Answer:Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

Answer:

48 centimeters by 27 centimeters

Step-by-step explanation:

we need the ratio of 16:9

option a) 48:27 ( divide by 3 each side) --> 16:9

Answer:

Factory

Step-by-step explanation:

Answer:

factory

Step-by-step explanation: