Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4

Answers

Answer 1

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

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

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

[tex]x-2y=4[/tex]

solving for y to writing the equation in the slope-intercept form and determining the slope

[tex]x-2y=4[/tex]

Add -x to both sides.

[tex]x - 2y + (-x) = 4+(-x)[/tex]

[tex]-2y = 4 - x[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]

[tex]y=\frac{1}{2}x-2[/tex]

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.


Related Questions

Use the given information to solve for x.

x+3
2x-9
What is x?

Answers

Answer:9

Step-by-step explanation:

Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The new length is 4 inches. What is its new width?

Answers

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

find the midpoint rounded to the nearest hundreth a (-2,1) b (-1,1)

Answers

Answer:

[tex](-1.5, 1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Endpoint A (-2, 1)

Endpoint B (-1, 1)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute [MF]:                    [tex](\frac{-2-1}{2},\frac{1+1}{2})[/tex]Subtract/Add:                       [tex](\frac{-3}{2},\frac{2}{2})[/tex]Divide:                                  [tex](-1.5, 1)[/tex]

The diameter of the solar system is about 300,000,000,000,000 kilometers,
which can be written as 3 x 100 kilometers. What is n?

Answers

Answer:

D. 14.

Step-by-step explanation:

As we know, 10 to the second power is 100, to the third power is 1000, and so on. These powers add a zero to the number. Since PEMDAS tells us to do exponents before multiplication, we need to find what power of 10 gives us 100,000,000,000,000. Let's count all the zeros. There are 14 zeroes. This means our answer is D. 14. Let's check, though. 10 to the 14th power is 100,000,000,000,000, and that times 3 is 300,000,000,000,000. That means our answer is correct, it is in fact, D. I hope this helps!

Edit: I changed the answer from 13 to 14 because I realized that 13 is incorrect.

A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=

Answers

Everybody says holy but nobody asks how is the holy cow
..... (¯`v´¯)♥
.......•.¸.•´
....¸.•´
... (
☻/
/▌♥♥
/ \ ♥♥ PEANUT WINGS Just in time for holiday cookie season, we’ve discovered that the vanilla flavoring in your baked goods and candy could come from the butt hole excretions of beavers.

Plz help I’m getting timed

Answers

Answer:

$38,465

Step-by-step explanation:

35 x 1,099 = 38,465

can you please help ​

Answers

Answer:

f = -0.032

Step-by-step explanation:

I looked it up

Answer:

-0.032

Step-by-step explanation:

f/-3.2=0.01

f=-3.2×0.01 (cross multiplication)

f=-3.2×1/100

f=-0.032

If g(x) = 4x-7 then g(1) = ?

Answers

Answer:

g(1) = -3

Step-by-step explanation:

g(x) = 4x-7

Let x=1

g(1) = 4*1 -7

     = 4 -7

     = -3

Answer:

-3

Step-by-step explanation:

If pens cost 15 cents, how many can you buy with $3.00?

Answers

3.00/0.15 = 20
You can buy 20 pens
you can buy 20 pens. divide 300 (3.00 in cents) by 15 and it results in 20.

In Heavenly Hash ice cream, the ratio of the amount of cashews to the amount of marshmallows to the amount of chocolate ice cream is 1 : 3 : 36 by volume .

What is the ratio of the amount of marshmallows to ice cream?

Answers

Answer:

90%

Step-by-step explanation:

The ice cream is 1 part cashew, 3 parts marshmallow, and 36 parts chocolate ice cream.  That's a total of 40 parts.  So the fraction that is chocolate ice cream is:

36/40 = 0.9

So 90% of Heavenly Hash ice cream is chocolate ice cream.

write an equation for the line that passes through the given points (-2,9) And (1 ,-3)​

Answers

Answer:

Finding slope: y2-y1/x2-x1

3-9/1+2

=-6/2

Divide 2 from both

=-3/1 or -3

Slope= -3

Finding y-intercept= y=mx+b

Choose any point on the line to plug in the x and the y then plug in the slope.

I choose (1,3)

3=-3×1+b

3=-3+b

Add 3 to both sides

6=b

Y-intercept=6

Equation: y=-3x+6

Step-by-step explanation:

Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power is another way to write .

Answers

Question:

Use the expression to complete the statements.

[tex](0.5)^{10\\[/tex]

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write

Step-by-step explanation:

Given

[tex](0.5)^{10\\[/tex]

Required

Fill ion the gaps

[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write [tex](0.5)^{10\\[/tex]

Express 0.5 as a fraction

[tex](\frac{5}{10})^{10}[/tex]

Simplify the fraction

[tex](\frac{5/5}{10/5})^{10}[/tex]

[tex](\frac{1}{2})^{10}[/tex]

Hence:

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]

Help please!!! Math, look at the picture. When you click the pic it's clearer

Answers

Answer:

radius: 4.2 cm

circumference: 26.376 cm^2

area: 55.3896 cm^2

Step-by-step explanation:

radius is half the diameter so 8.4/2 = 4.2

circumference: C = (2)(pi)(r) ---> (2)(3.14)(4.2) --> 26.376

area: (pi)(r ^2) --> (3.14)(4.2^2) --> 55.3896

An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?​

Answers

KE = 1/2mv^2
96 = 1/2m(16)
96 = 8m
m = 12 kg

Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I don’t have time. You can put you snap or instagram user so I can DM you.

Answers

Answer: what is your question

Step-by-step explanation: Also for what subject

What is the problems

In ΔWXY, the measure of ∠Y=90°, XW = 85, WY = 77, and YX = 36. What is the value of the cosine of ∠W to the nearest hundredth?

Answers

Answer:

0.91

Step-by-step explanation:

Number the steps for balancing equations:

Answers

Step 1: The Unbalanced Chemical Equation. The unbalanced chemical equation is given to you. ...
Step 2: Make a List. ...
Step 3: Identifying the Atoms in Each Element. ...
Step 4: Multiplying the Number of Atoms. ...
Step 5: Placing Coefficients in Front of Molecules. ...
Step 6: Check Equation. ...
Step 7: Balanced Chemical Equation.

Change in y:
Change in x:
Slope:​

Answers

Answer:

a) 5, b) 6, c) 5/6

Step-by-step explanation:

Use the two points from the graph:

(0, 0) and (6, 5)

a) Change in y is:

5 - 0 = 5

b) Change in x is:

6 - 0 = 6

c) Slope is:

Change in y / change in x = 5/6

Is 3x - y = -6 an euation for a graph

Answers

Answer:

no this can't become a number that can be graphed

The area of the triangle is

square inches.
fill in the blanks

Answers

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48

Write the unit fraction depicted in the model as a percent.

One-fourth

Answers

Answer:

As

1/4×100 = 0.25×100

            = 25%

Thus,

1/4 = 25%

Step-by-step explanation:

Given the fraction

1/4

In order to write the fraction 1/4 as a percent, all we need is to multiply 1/4 by 100.

i.e.

1/4×100 = 0.25×100

            = 25%

Therefore, we conclude that:

1/4 = 25%

GIVING BRAINLIEST PLZZ HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x

with our equation being y = 5x + 5

hope this helps <3

Answer:

Step-by-step explanation:

It would be D because to know if its linear, x has to increase by 1 and y by a constant rate.

X increases by 1 and y increases by 5

I've attached a graph for you to see

If you have any further questions, don't be afraid to reach out! I hope this helps!


Find the value of x and the measure

Answers

Answer:

39°

Step-by-step explanation:

Complementary angles sum up to 90°

< JKL + < RST = 90

36 + x + 15 =90

51 + x = 90

x = 39°



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

ddddd

Step-by-step explanation:

D SORRY IF IM WRONG

NEED HELP ASAP!! THIS IS DUE UNDER 10 MIN! GIVING BRAINLEST (My Brainlest is giving 100 extra points)

Bud is disappointed when he goes to the mission because...

A The line is closed when he gets there.
B They don't serve children.
C He went to the wrong one.
D He didn't like what they were serving.

Answers

Answer:A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

What fraction is equivalent to 1/6

A. 3/8

B. 2/8

C. 3/24

D. 4/24

Answers

The correct answer is D. 2/24

Answer:

C

Step-by-step explanation:

Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3

could i have branliest and a heart please

Have a good day :)

A popular resort hotel has 300 rooms and is usually fully booked about 7% of the time a reservation is cancelled before the 6:00 pm deadline with no penalty. What is the probability that at least 285 rooms will be occipied? Use the binomial distribution to find the exact value and the normal approximation to the binomial and compare your answers.

Answers

Answer:

Binomial distribution = 0.1026

Normal approximation = 0.1066

Step-by-step explanation:

Given that :

p = 100% - 7% = 0.93

n = 300

1 - p = 0.07

Probability of atleast 285 rooms getting booked :

P(x = x) = nCx * p^x * (1-p)^(n-x)

To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :

P(x ≥ 285) = 0.1026

Using Normal approximation :

Mean (m) = np = 300 * 0.93 = 279

Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42

Using :

Z = (x - m) / s

P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5

Z = (284.5 - 279) / 4.42

= 1.2443

P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)


Dan eats of a pizza.
2
Rachel eats another of the pizza.
What fraction of the pizza was eaten?

Answers

the answer is 3/5 on slime

HELP PLZ I NEED THE RIGHT ANSWER

Answers

Answer:

54

Step-by-step explanation:

As ◇PQS is congruent to ◇ PRS,

6n + 3=4n+11

n=4

QR=6×4+3+4×4+11

find the simple interest for having $2600 in the bank for 4 years the rate is 5%

Answers

Answer:

130 a year, so it would be $520 interest for 4 years in the bank.

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