Vhat is the equation of the line that is parallel to the
given line and passes through the point (2, 3)?
O x + 2y = 4
O x + 2y = 8
O 2x + y = 4
O 2x + y = 8

Answers

Answer 1

Step-by-step explanation:

second one because

only x+2y=8 passes through the point (2,3)

the proof is 2+2*3=2+6=8

if we replace the given point to the other equations we will take wrong results for example

first equation

x+2y=4. 2+2*3=2+6=8 that is not equal to 4

Answer 2

Slopes of lines which are parallel to each other is same. The equation of the line which is parallel to y = mx + c and passes through (2,3) point is y = m(x-2) + 3

How are parallel straight lines related?

Parallel lines have same slope, since slope is like measure of steepness and since parallel lines are of same steepness, thus, are of same slope.

In the line of the form [tex]y = mx + c[/tex], the coefficient of x, which is 'm' here, is the slope of the line [tex]y = mx + c[/tex]

Suppose that the given line be:

[tex]y = mx + c[/tex]

(we assume this, because the question is a bit incomplete as the initial line isn't given)

And we've to find the equation of a line which is parallel to the line given above, and passes through (2,3).

Suppose it be:

[tex]y = mx + b[/tex] (as the slope of parallel lines would be same).

This line passes through (2,3), so the equation must be true for (x,y) = (2,3).

Putting it, we get:

[tex]y = mx + b\\3 = m(2) + b\\3 - 2m = b[/tex]

Thus, the equation of this line is:

[tex]y = mx + b \\y = mx + (3-2m)\\y = m(x-2) + 3[/tex]

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Related Questions

The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?

Answers

Answer:

y = |-x-1| + 8.

Step-by-step explanation:

A reflection across the y axis gives the equation y = |-x -1| + 7.

Then a translation up 1 unit gives the equation y = |-x-1| + 8.

Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn

Answers

Answer: Eric earned $7

Step-by-step explanation:

Let's define:

R = money that Robert earned.

E = Money that Eric earned.

Now we want to find how much money did Eric earn.

We know that:

R = $10 = 2*E - $4

Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:

2*E = $10 + $4 = $14

E = $14/2 = $7

Eric earned $7

Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
r minus 10.25
10.25 minus r
10.25 + r
r + 10.25

Answers

Answer:

10.25 minus r

Step-by-step explanation:

because amount of money minus how much the raise was equals what he had before.

Answer:

✨b✨

Step-by-step explanation:

What ratios are equivalent to 27:9

Answers

Answer:

3:1,

Step-by-step explanation:

because if you multiple 3x9=27, and 1x9=9 you get 27:9

Suppose our retirement account pays 9% apr compounded monthly; what size nest egg do we need in order to retire with 25 years that yields to $5,000 per month? Show all work

Answers

Answer:

  $595,808.11

Step-by-step explanation:

We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...

  A = P(r/12)/(1 -(1 +r/12)^(-rt))

  P = A(12/r)(1 -(1 +r/12)^(-rt))

  P = 5000(12/0.09)(1 -(1 +.09/12)^-300)

  P = $595,808.11

The required nest egg is $595,808.11.

complete the division. The quotient is 3x^2+__x+__.

Answers

Answer: 3x^2+ -2x+5. I hope this helped

Step-by-step explanation:

A company estimates that 0.7% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $48, what is the company's expected value of each warranty sold?

Answers

Answer:

$44.90

Step-by-step explanation:

The resulting value for the company of replacing a failed product is given by the price of the warranty minus the cost of replacement:

F = $47-$300=-$253

This event has a 0.7% chance of happening.

The resulting value for selling extended warranty to a product that does not fail is given by the price of the warranty:

W = $47

This event has a 99.3% chance of happening.

The expected value is:

EV = $44 * 0.993 + ($47-$300) *0.007

EV = $44.90

The expected value for each warranty sold is $44.90.

5/9 is rational or irrational

Answers

Rational hope this helps

What are the solution(s) of the quadratic equation 98 – x2 = 0?

Answers

Answer:

49

Step-by-step explanation:

98-x2=0

-98    -98

[tex]\frac{x2}{2}[/tex]     [tex]\frac{98}{2}[/tex]

    49

Which choice is equivalent to the expression below? √-49

btw its 7i

Answers

Answer:

7

Step-by-step explanation:


What does
non-proportional and
proportional

Answers

Answer: i don’t understand the question... are you asking what eacg of them mean?

Step-by-step explanation:

Answer:Proportional: ... How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

Please hurry it’s urgent Thank you

Answers

Answer:

D

Step-by-step explanation:

the answer is the graph on the bottom right corner, 400 pages on the y axis and 16 days on the x axis. 25 pages a day.

hope this helped!

Helppppppppppp?????!!!!!!

Answers

hello there!
i’m so happy to help you!

so here’s what we got:
4/5. so we know that 5 is a factor of 100. so when trying to find a decimal, you have to make your fraction a 10 or 100. so in this case, we only have to make the number to 10.

5x2=10, and whatever we do to the top, we mist do to the bottom. (or vice versa) so we now multiply 4x2 to get 8. so your decimal will be 0.8 or 0.80.

have a wonderful day!!
cookiebrookie∞☻

I WILL GIVE BRAINLIEST
Can someone help me out with this??

Answers

Answer:

record time

Step-by-step explanation:

code word is record time

Answer: R E C O R D  T I M E

Step-by-step explanation:

first u start, they you go to the  2 path, then you reach R Which is 4 so you go in the 4 path then to to the E path, which is 1 so you go down to the C path, then after that its equales -1 so then you go to the o path the answer is -6 so you got to that path R, then it equals -4 so then u go to the D path then after that u would go to the T path then after that u go to the I path cause it equals -7 then head to M cause it equals -8 the finish E

1/2x plus 12 = 8x Please help me!

Answers

Answer:

8/5=x

Step-by-step explanation:

1/2x+12=8x

Subtract 1/2x from both sides

12=15/2x

Multiply 2/15 on both sides

8/5=x

please answer 9 or 11 or both pleasseeee

Answers

Answer:

hi the picture doesn't appear

4
X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =

Answers

Answer:

Step-by-step explanation:

Hope it helps

each morning max walks to school. at 8:20, he passes a stoplight that is 2 blocks from home. He reaches the town library at 8:24. At this point, he is 3 blocks from school and halfway there. If Max walks at the same pace all the way to school, at what time does he arrive at school?

Answers

Answer:

8:36

Step-by-step explanation:

If he is at his halfway point at 8:24 and it only took him 4 minutes to get one block in than it would take him 12 minutes to get 3 blocks in and if you add 12 more minutes to the time that he's at right now than he would arrive at 8:36.

Hope this helps. Give 412937691 the brainliest.

y = 3 in two variable​

Answers

Step-by-step explanation:

If Y = 3 is treated as an equation in one variable, then it has a unique solution y= 3. So it is a point on the number line. Given equation Y equal to 3 can be written as 0. x + y = 3, which is a linear equation in two variables x and y.

Eight more than twice a number is four less than the same number​

Answers

Answer:idk

Step-by-step explanation:

The equation would be 2x+8=x-4
+4. +4
2x+12=x
-2. -2
12=-1x
-12=x
I hope that’s right,don’t mind the .’s I couldn’t get rid of them

1. Sebastian lived in France and Canada for a total of 21 months in order to learn French. He learned an average of
150 words per month when he lived in France, and an average of 210 words per month when he lived in Canada. In
total he leamed a total of 3,450 new words.
How long did Sebastian live in France? How Long did he Live in Canada?

Answers

Answer:

Step-by-step explanation:

He took 21 months in total.

150 per month in France and 210 per month in Canada

So, He learned in France in 10 months and canada in 11 months

WILL MAKE BRAINLIEST!
20 POINTS TO EARN

Answers

Answer:

(2,-5)

Step-by-step explanation:

The slope of the line is 3/4. You need to find 2/3 of this, which is quite easy. Since the slope is 3/4, then 2/3 of 3/4 would be 2/4, or 1/2. 2/4 slope of this line brings you to the point (2,-5) which is point B.

Name the slope and one point that is on the line
represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)

Answers

Answer: Choice A

m = undefined

point (-2,5)

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

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

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

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Minerva is trying to estimate v 55. She uses this table of values:
Square 7.02 7.12 7.22 7.32 7.42 7.52
Value
49.0 50.4 51.8 53.3 54.8 56.3
Square 7.62 7.72 7.82 7.92 8.02
Value
57.8 59.3 60.8 62.4 64.0
What should she do next to find 55 to the nearest hundredth?

Answers

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Test!

PLZZ HELP Will give brainlist plz help its for my 9 week exam
Which property of addition is demonstrated in Step 1 of the problem solution shown below?


A. Associative Property

B. Commutative Property

C. Distributive Property

D. Identity Property

Answers

Answer:

Its commutative property

Step-by-step explanation:

It means u can move stuff around so ya

Which equation has a pair of equivalent ratios?


Answers

Answer:

Option (3)

Step-by-step explanation:

If the two ratios are equivalent then the value of the ratios will be equal.

[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]

Option (1)

[tex]\frac{11}{12}=\frac{44}{46}[/tex]

Simplified form of the fraction [tex]\frac{44}{46}[/tex] is,

[tex]\frac{44}{46}=\frac{22}{23}\times \frac{2}{2}=\frac{22}{23}[/tex]

Therefore, [tex]\frac{11}{12}=\frac{22}{23}[/tex]

Which is not true,

Therefore, option (1) doesn't show the equivalent ratio.

Option (2)

[tex]\frac{36}{40}=\frac{4}{9}[/tex]

Simplified form of [tex]\frac{36}{40}[/tex] is,

[tex]\frac{36}{40}=\frac{9}{10}\times \frac{4}{4}=\frac{9}{10}[/tex]

Therefore, [tex]\frac{4}{9}= \frac{9}{10}[/tex]

Which is not true.

Therefore, option (2) doesn't show the equivalent ratio.

Option (3)

[tex]\frac{1.5}{3}=\frac{12}{24}[/tex]

Since simplified form of [tex]\frac{1.5}{3}[/tex] is,

[tex]\frac{1.5}{3}=0.5[/tex]

And simplified form of [tex]\frac{12}{24}[/tex] is,

[tex]\frac{12}{24}=0.5[/tex]

Therefore, [tex]\frac{1.5}{3}=\frac{12}{24}=0.5[/tex]

Option (3) shows the equivalent ratios.

Option (4)

[tex]\frac{8}{12}=\frac{4}{24}[/tex]

Since, [tex]\frac{8}{12}=\frac{2}{3}\times \frac{4}{4}=\frac{2}{3}[/tex]

And [tex]\frac{4}{24}=\frac{1}{6}\times \frac{4}{4}=\frac{1}{6}[/tex]

But [tex]\frac{2}{3}\neq \frac{1}{6}[/tex]

Therefore, equation in this option doesn't show the equivalent ratios.

Lesson 3 Practice Problems Ratios

Answers

Answer:

1. 6 to 2 and 9 to 3

2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.

Step-by-step explanation:

Alta dove 9 meters below the ocean’s surface. She then dove 15 meters deeper. She then rose 19 and one-fourth meters. What was her position in relation to the surface of the water?

Answers

Answer:  -4 3/4

Step-by-step explanation:

Above is the answer if you have a drop down menu, because I have a drop down menu.

Answer:

B

Step-by-step explanation:

i got it right

Find the percent of increase from 8 to 10 feet

Answers

Answer:

25%

Step-by-step explanation:

[tex]percentage \: increase \\= \frac{10 - 8}{8} \times 100 \\ \\ = \frac{2}{8} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25 \%[/tex]

The increase in height from 8 to 10 feet is 25%. To calculate a percentage, divide the value by the total value and multiply the result by 100.

How to calculate percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage. Divide the number you want to convert to a percentage by the total. In this case, divide 2 by 5. 2 divided by 5 equals 0.4. Then, multiply 0.4 by 100 to get 40, or 40%.Divide one number by the other and multiply the result by 100 to find the percentage of a number between two numbers. To calculate the percentage, divide the value by the total value and multiply the result by 100.

Therefore,

percentage increase

= (10 - 8) / 8 × 100

= 2/8 × 100

= 1/4 × 100

= 25%

Hence, The increase in height from 8 to 10 feet is 25%.

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5. A man purchased a sewing machine for ₹1250 and spent ₹250 on its transportation. He sold it for ₹1600. Find his profit percent.​

Answers

Answer:

COST PRICE=1250+250=1500

SELLING PRICE=1600

GAIN=1600-1500=100

GAIN PERCENT=>

Step-by-step explanation:

I HOPE ITS HELP YOU

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