1. Write the equation of a line that is parallel to y = -1/4 x - 6 that passes through the point (12,4).

Answers

Answer 1

Answer:

The answer is

[tex]y = - \frac{1}{4} x + 7[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 1/4x - 6

Comparing with the general equation above

Slope = - 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 1/4.

Equation of the line using point (12,4) and slope - 1/4 is

[tex]y - 4 = - \frac{1}{4} (x - 12) \\ y - 4 = - \frac{1}{4} x + 3 \\ y = - \frac{1}{4} x + 3 + 4[/tex]

We have the final answer as

[tex]y = - \frac{1}{4} x + 7[/tex]

Hope this helps you


Related Questions

*
1. Area of General Quadrilateral:
1 point
O h(a+b)/2
d(h1+h2)/2
O (d1x d2)/2
O 2h(1+b)​

Answers

Step-by-step explanation:

half into AB + CD. formula of general quadulateral

HELP! Giving more points: The system of equations has no solutions. Which statement is true?
y = 4x + a
y = bx + 3

A: a = 3 and b = 4
B: a is not equal to 3 and b = 4
C: a = -3 and b = -4
D: a = -3 and does not equal -4

Explain answer

Answers

Answer:

b=4 and a does not equal 3

Step-by-step explanation:

For the system to have no solutions

The x terms have to have the same coefficient and the constants have to be unequal

b=4 and a does not equal 3

B: a is not equal to 3 and b= 4

HELP ME PLZ THX YOU.....​

Answers

Answer:

No

Step-by-step explanation:

The rate of change is not the same

Answer:

no not at all.

Step-by-step explanation:

nonoononn

50% OFF! Rebecca buys a kite during the sale. If the original price was $4, how much does Rebecca pay?

Answers

2 dollars because 50 it’s half off so if it’s originally 4 and it’s again HALF off it would be 2

Marias bank account balance tripled and then lost 35.50 and is now 13 dollars.

Answers

Answer:

$145.5

Step-by-step explanation:

Rosa wanted to solve the equation x – 3 = 7. She subtracted 3 from both sides. What should she have done differently?

Answers

She should have added 3 instead of subtracting because u need to do inverse operation when solving equations.

Answer:

x + 3 = 10

Step-by-step explanation:

Add three to both sides

what is -7/9 as a repeating decimal.

Answers

Answer:

Step-by-step explanation:

The repeating decimal of -⁷/9 is -0.7777777777777.......................

Ethan is deciding between two parking garages. Garage A charges an initial fee of $7
to park plus $4 per hour. Garage B charges an initial fee of $10 to park plus $3 per
hour. Let A represent the amount Garage A would charge if Ethan parks for t hours,
and let B represent the amount Garage B would charge if Ethan parks for t hours.
Write an equation for each situation, in terms of t, and determine the interval of
hours parked, t, for which Garage A is cheaper than Garage B.
A=
B =
Garage A is cheaper than Garage B when t

Answers

Answer:

A= 4t + 7

B= 3t+10

Garage A is cheaper than Garage B when t < 3 hours.

Step-by-step explanation:

Garage A charges $7 just to enter the garage even for t=0 hours, and will charge and additional $4 per hour parked. Therefore the amount Garage A would charge for t hours of parking is: A= 4t + 7

Garage B charges 10 just to enter the garage even for t=0 hours, and will charge and additional $3 per hour parked. Therefore the amount Garage B would charge for t hours of parking is: B= 3t+10

To find the number of hours, t, that would make the parking garages cost the same, set the two equations equal to each other and solve for t:

4t + 7 = 3t + 10

-3          -3

t + 7 =  + 10

- 7          -7   t = 3

Since both equation values are equal when t=3, we know that the two garages would charge an equal amount when parking for 3 hours.

Since Garage A has less expensive initial fee ($7 vs. $10), Garage A will continue to be less expensive until it "catches up" to Garage B at t=3 hours

When t is less than 3 hours, Garage A is cheaper.

The equations representing the situation and when garage A is cheaper than B is required.

The required equations are

[tex]A=7+4t[/tex]

[tex]B=10+3t[/tex]

Garage A is cheaper when the time to be parked is less than 3 hours.

System of linear equations

The required equations are

[tex]A=7+4t[/tex]

[tex]B=10+3t[/tex]

where [tex]t[/tex] = number of hours.

The point where the price is same will be

[tex]7+4t=10+3t\\\Rightarrow t=\dfrac{10-7}{4-3}\\\Rightarrow t=3[/tex]

when [tex]t=2[/tex]

[tex]A=7+4\times 2=15[/tex]

[tex]B=10+3\times 2=16[/tex]

when [tex]t<3[/tex] then garage A is cheaper.

when [tex]t=4[/tex]

[tex]A=7+4\times 4=23[/tex]

[tex]B=10+3\times 4=22[/tex]

when [tex]t>3[/tex] then garage B is cheaper.

Learn more about system of linear equations:

https://brainly.com/question/14323743

Please help please :(❤️

Answers

Answer:

(Explanation)

Step-by-step explanation:

Part A:

First, graph f(x) = x.

Then graph g(x) = x + 4.

The 4 is being added to x, so it will translate the graph to the left.

Graph A should look like this:

[Attached File]

Part B:

First, graph f(x) = x.

Then graph g(x) = x + 2.

The 2 is being added to x, so it will translate the graph to the left.

Graph B should look like this:

[Attached File]

Part C:

First, graph f(x) = x.

Then graph g(x) = x - 2.

The 2 is being subtracted from x, so it will translate the graph to the right.

Graph C should look like this:

[Attached File]

Part D:

First, graph f(x) = x

Then graph g(x) = x - 4

The 4 is being subtracted from x, so it will translate the graph to the right.

Graph D should look like this:

[Attached File]

There were 22 defects out of 178. How many defects are there out of 2047?

Answers

Answer:

253

Step-by-step explanation:

All you need to do is divide 2047 by 178 to get 11.5. Multiply 11.5 by 22 to get 253. 22/178=x/2047



1000 students participated in a survey on a university campus about their TV watching habits. All

respondents said they watched TV at least at some point during the day. 27% stated that they only

watched television during prime time hours (8pm - 10pm.) and 61% stated that they spend prime time

hours in their dorm rooms.

Answers

Hi, you've asked an unclear question. However, I inferred you may want to know the actual number of students represented by the percentages of 27%, and 61%.

Explanation:

Finding percentage usually involves performing two operations; multiplication and division.

First, all (100%) of respondents said they watched TV at least at some point during the day.

Next, 27% of respondents stated that they only  watched television during prime time hours, in which the actual number of students represented by the percentage is calculated by dividing 27 by 100 and multiplying by 1000 =

[tex]\frac{27}{100} * 1000 = 270[/tex].

Finally, we are told 61% of respondents stated that they spend prime time  hours in their dorm rooms. The actual number of students represented by the percentage is calculated by dividing 61 by 100 and multiplying by 1000 =

[tex]\frac{61}{100} * 1000 = 610[/tex]

What is the domain of the relation graphed below?

Answers

Answer:

The answer is option C

Step-by-step explanation:

I just answered this question :)

17. Ennis has a length of rope that measures 3 3/4 yards. He cuts all of the

rope into smaller pieces that measure yard each. How many cuts did ennis make

Answers

Answer:

3 cuts

Step-by-step explanation:

if you take 3 3/4 -3/4 =3 2 cuts would give 3 yard size strips but you need to cut the 3/4 off so there would be 3 cuts for four pieces of rope

PLSSS HELPPPPP!!!!Which expression results in a sum or difference of three and four forty eighths?

a two and two twenty fourths plus one and one half
b one and three twelves plus two and one quarter
c seven and nine sixteenths minus four and one third
d six and two sixths minus three and two eighths

Answers

Answer:

D

Step-by-step explanation:

What is the solution of x+25=12 ?

Answers

x + 25 = 12
-25 on both sides
x = -13

Answer:
x = -13

Answer:

x=-13

Step-by-step explanation:

x+25=12

-25     -25

x=-13

Please Help:)
Using the image below, how many squares would be in the next figure in the sequence?

Answers

Answer:

15

Step-by-step explanation:

Answer:

The next figure would have five more added to it.

Step-by-step explanation:

The pattern is that every sequence, one layer is added. So if there are already four figures on the last layer, it would be five on the next one.

Choose the TWO questions that can be answered by determining the value of 123÷12 . A Aaron has 123 grams of sugar he is using to fill 12 -gram packets. How many packets can he fill? B Andrew walked 123 miles. This is 12 the distance he walked yesterday. What is the distance, in miles, that he walked yesterday? C Katie painted her bedroom in 123 hours. She took a 12 -hour break to finish her homework. How long did Katie spend painting her bedroom? D Joanna had 123 slices of pizza for lunch. She ate another 12 slice at snacktime. How much pizza did Joanna eat?

Answers

Answer:

Question A

Question B

Step-by-step explanation:

You would divide 123 by 12 to figure out how many packets he can fill and you would divide 122 by 12 to find out how much he walked yesterday

Multiply (3.5 x 10^-5) (3 x 10^-10) Express your answer in scientific notation​

Answers

Answer: 1.05 x 10 ^-14

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

1.05 x 10^-14

Step-by-step explanation:

I took the test

can someone solve this?

Answers

Answer:

x = 8

Step-by-step explanation:

5x - 7 = x + 25

-x       -x

4x - 7 = 25

+7    +7

4x = 32

/4      /4

x = 8

Solve: 3(2x + 1) = 5x - 8

Answers

Answer:

x=-11

Step-by-step explanation:

Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x + 1)(x - 3)(x - 4)

Answers

Answer: 3

Step-by-step explanation: got it right on edge

Answer:

3

Step-by-step explanation:

edge 2020

Identify the location of each point on the number line.

0.5 is point
.
Negative one-half is point
.
–1.4 is point
.
2 is point
.

Answers

Answer:

0.5 is point D, -1/2 is point C, -1.4 is point B, 2 is point F

Step-by-step explanation:

EDGE 2020

On the number line, the given numbers can be located at the following points:

0.5 is located at point D.-1/2 is located at point C.–1.4 is located at point B.2 is located at point F.

Recall:

A number line represent integers, whereby, negative integers are located on the left, while positive integers are to our right.

Thus:

0.5 is a positive number, it would lie between integers 0 and 1 to our right.

Therefore, 0.5 is located at point D.

- 1/2 is a negative number, it would lie between integers 0 and -1 to our left.

Therefore, -1/2 is located at point C.

–1.4 is a negative number, it would lie between integers -1 and -2 to our left.

Therefore, –1.4 is located at point B.

2 is a positive number, it would be located at our right.

Therefore, 2 is located at point F.

Learn more about number line on:

https://brainly.com/question/25230781

Are 0.5 and 0.50 the same

Answers

Answer:

yes they are the same. :)

Answer:

Yes

Step-by-step explanation:

0.5 = 1/2

0.50 = 1/2

You can add as many zeroes after the five as you wish but that does not change the value of the number

Joyce's dad packs her lunch and always packs a yogurt. Joyce knows that there are 5 yogurts in the refrigerator: one raspberry, two strawberry, one blueberry, and one vanilla. Her dad usually reaches into the refrigerator and randomly grabs a yogurt.



a. which flavor is she most likely to have in her lunch today?




b. What are her chances of finding a vanilla yogurt in her lunch bag?

Answers

Answer:

a. [tex]Strawberry[/tex]

b. [tex]Chances = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]Raspberry = 1[/tex]

[tex]Strawberry = 2[/tex]

[tex]Blueberry = 1[/tex]

[tex]Vanilla = 1[/tex]

[tex]Total = 5[/tex]

Solving (a): Yogurt with highest chance

From the list of given items, the number of strawberry yogurt (2) is more than any other yogurt (1 each)

This implies, She's most likely to get a strawberry than any other type

Solving (b): Chances of finding Vanilla

The chances is the same as probability

And it is calculated as thus;

[tex]P(Vanilla) = \frac{n(Vanilla)}{Total}[/tex]

[tex]P(Vanilla) = \frac{1}{5}[/tex]

Hence;

The chances is [tex]\frac{1}{5}[/tex]

What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-8, 10) (-3,6)

Answers

The slope of the line is -4/5
y2-y1
———-
x2-x1

You have to apply the points into this equation
6-10
——- = -4/5
-3+8

Estimate the median of the distribution of drinks.
Hint: Think about the 50th percentile.

Answers

Answer:

25 grams

Step-by-step explanation:

The relative cumulative frequency gives us an equivalent of the percentiles of the distribution.

Thus, [tex] 50^{the} [/tex] percentile is equivalent to a relative cumulative frequency of 0.5.

The median is roughly the 50th percentile, which is a cumulative frequency of 0.5.

From the graph, the grams of sugar on the x-axis that corresponds to a cumulative frequency of 0.5 on the y-axis, is 25 grams.

Therefore, the median is 25 grams.

write and solve an inequality
thirty is less than the sum of a
number x and 8.

Answers

Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x

How many inches are there in 10 miles?

Answers

There are 633600 inches in 1 mile


A meteorologist recorded the rainfall in Lancaster in two consecutive months. In the first
month, there were 2 7/10 inches of rain. In the second month, there were 1 1/2 inches of
rain. What was the total amount of rainfall during the two months

Answers

Answer:

they are often small but intense. ... The amount of precipitation that falls around the world may range from less than ... One inch of rain falling on 1 acre of ground is equal to about 27,154 gallons

Step-by-step explanation:

HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

(x1 + x2)/2, (y1 + y2)/2

(-6 + 10)/2, (-3 + 9)/2

4/2, 6/2

(2, 3) = Midpoint

(2,3) (10,9)

2+10/2, 3+9/2

12/2, 12/2

6,6

Answer:

D

Step-by-step explanation:

Other Questions
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