Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *

Answers

Answer 1

Answer:

y = 2x + 1

Step-by-step explanation:

Let the equation of the line be y = mx + c

since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)

sub (1, 3):

3 = 2(1) + c

c = 1

therefore, the equation is y = 2x + 1

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)


Related Questions

How do I solve this equation and check the solutions?

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

The steps to do this :

[tex]x - \sqrt{2x + 5} = 5[/tex]

[tex]x - 5 = \sqrt{2x + 5} [/tex]

[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]

[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]

[tex] {x}^{2} - 12x + 20 = 0[/tex]

[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]

[tex]x(x - 2) - 10(x - 2) = 0[/tex]

[tex](x - 2)(x - 10) = 0[/tex]

[tex]x = 2 \: (rejected)[/tex]

[tex]x = 10[/tex]

In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU

Answers

Answer:

I need more information.... ??

Step-by-step explanation:

If YU = 9 then what is Zy and ZU

893.76 divided by 0.21

Answers

893.76/0.21=4256
Hope this helps and have a nice day/night!!!

Answer:

4.265

Step-by-step explanation:

893,76/  0,21=  4.265

On a coordinate plane, which axis is the horizontal axis, and which is the vertical axis? Is there a way to graph points that are not whole numbers? How do you think you can do that? Describe some real-world situations that remind you of the coordinate plane.

Answers

Answer:

Horizontal axis is X

Vertical Axis is Y

You can graph points that are not whole numbers, you just have to add more lines or estimate where the point may be

Battleship maybe? Or like the longitude and latitude on a map?

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

A map is a real-world example of a coordinate plane.

Learn more about the coordinate planes:

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What is the first step in evaluating (12.9 – 3.1) × 6.2 – 2 + 43

Answers

Answer:

101.76

Step-by-step explanation:

Answer:

(12.9 - 3.1) i'm in middle school so if i can do it you can

Step-by-step explanation:

What is the equation of this graphed line?

Answers

Answer:

[tex]y=-\frac{9}{8} x+7[/tex]

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal [tex]-\frac{9}{8}[/tex].

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.

Answers

Answer:

Step-by-step explanation:

Let X denote the random variable that obeys the normal distribution.

Given that:

For morning flights

Mean [tex]\mu_1[/tex] = 15

standard deviation [tex]\sigma_1[/tex] = 5

Sample size [tex]n_1[/tex] = 10

[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]

The Z - score is calculated as:

[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]

[tex]Z = \dfrac{30 -15}{5}[/tex]

[tex]Z = \dfrac{15}{5}[/tex]

Z = 3

For evening flights

Mean [tex]\mu_2[/tex] = 20

standard deviation [tex]\sigma_2[/tex] = 3

Sample size [tex]n_2[/tex] = 10

[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]

[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]

[tex]Z = \dfrac{30 -20}{3}[/tex]

[tex]Z = \dfrac{10}{3}[/tex]

Z = 3.33

Hence, from the above z-scores, we will realize that the evening flight is more late than usual.

Can somebody plz answer both questions! only if u done it before thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD

Answers

Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

Write a linear equation to represent this

Answers

I think is Y=5x+20
Hope you get it right!
:D

slope = 2; y-intercept = -1
HELP PLS what's the answer

Answers

Answer:

The question is incomplete but I assume you want to find the equation of a straight line with those details. Well the equation of a straight line is y=mx+c where m is the slope and c is the y-intercept

Therefore y=2x-1 is the equation of the line

Answer:

y=2x-1

Step-by-step explanation:

BRAINLIEST PLSSS

HELP ME PLS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1) Yes because the slope, 10x, is constant

2) Yes for every 1 hour of baby sitting $10 dollars is earned.

Consider Brainliest!

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute. How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital

Answers

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?

A. g(x) = f(x) - 5
B. g(x) = f(x - 5)
C. g(x) = f(x) - 2
D. g(x) = f(x + 2)

Answers

Answer:

A.

Step-by-step explanation:

It just is trust

A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship between the number of daisies d and the number of roses r ?

Answers

Answer:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

[tex]d\ \alpha\ r[/tex]

Where d = daises and r = roses

Convert the above expression to an equation

[tex]d = kr[/tex]

Make k the subject

[tex]k = \frac{d}{r}[/tex]

When d = 5 and r = 2;

[tex]k = \frac{5}{2}[/tex]

[tex]k = 2.5[/tex]

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

[tex]d = 2.5 * r[/tex]

[tex]d = 2.5r[/tex] ----------- (1)

Make r the subject in (1)

[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)

Hence, the relationships between d and r are:

[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]

plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?

What is the y-intercept of the trend line?

Y=___X +___

Answers

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

-1/2(12x – 4) = 38
what does x equal

Answers

Answer:

x=−6

Step-by-step explanation:

+ 19=20+24
A 11
B 13
C 15
D 25

Answers

Answer:

its D 25

i just know stuff

I AM BEING TIMED HELP!!!
What is one main objective in the study of economics?

recognizing the types of services available to everyone
recognizing the relationship between producers and consumers
recognizing the reasons why consumers supply services
recognizing the difference between producers and consumers

Answers

Answer:

C

Step-by-step explanation:

given the graph g(x), find g(-6) ​

Answers

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

learn more about functions here :

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3 5/8 to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

3 and 5/8 is closer to 4 then 3 easy

Can someone help me with this question please ?

Answers

Answer:

16 i think

Step-by-step explanation:

Yeah I think maybe 16.

Help rn please!!! Urgent

Answers

Answer:

try 3 i need 20 more letters

Answer:

f(x) = 2x^2 + 12x +10

Step by step solution:

x = 1 x = 5 y = 10

f(x) = a(x+1)(x+5)

f(0) = a(1)(5) = 10

5a = 10

Divide by 5

a = 2

f(x)= 2(x+1)(x+5)

f(x) = 2(x^2 +6x +5)

f(x) = 2x^2 + 12x +10

brainliest much appreciated!

After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?

Answers

Answer:

80

Step-by-step explanation:

160÷2=80 yay!!!!!!!!!!!

Answer:

(By mints I hoped you meant candy) 480 packs of gum

Step-by-step explanation:

2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.

Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False

Answers

Answer:

a. true

b. false

Step-by-step explanation:

Marco buys a certain brand of shampoo for $7.25 plus 7.5% tax. How much will Marco pay in total for the shampoo? (Round your answer to the nearest hundredth)

Answers

Answer:

$6.35

Step-by-step explanation:

Answer:

$7.79

Step-by-step explanation:

7.25 + 7.25(0.075)

7.25 + ~0.54

7.79

Question 6 (5 points)
(03.02 MC)
What is the length of the third side of the window frame below? (5 points)
(Figure is not drawn to scale.)


30 inches
36 inches
50 inches
75 inches

Answers

Answer:

30 inches

Step-by-step explanation:

using a^2+b^2=c^2

72^2=5184

30^2=900

5184+900=6084

√6084=78

Answer:

30

Step-by-step explanation:

What is the solution of 6d + 6 - 4d = 12 ?

Answers

D=3 is the answer for this equation
d=3

if u were to check
6(3)+6-4(3)=12
18+6-12=12
24-12=12
12=12

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

QUICK HELP ITS DUE IN 10 EEEEEEEEEEE

Answers

Answer:

the answer is b

Step-by-step explanation:

pls give me brainliest plsss i gave you answer

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Answers

Answer:

5.83

Step-by-step explanation:

70 / 12

Answer:

6.3

Step-by-step explanation:

You want to add 1, 5, and 70 up. Then you would get 76. Next you want to divide 76 into 12. And there you go, 6.3 is the answer

(I hoped this helped. This was a bit confusing to me and difficult but i wanna try to be useful for once lol..)

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