Which of the following is true about the lines defined by the equations 4x−2y=6 and x+2y=14? .
A.The lines share the same y-intercept.
B.Both lines intersect at point (1,−1).
C.The lines are perpendicular.
D.The lines are parallel.

Answers

Answer 1

Answer:

            Only:  C.  The lines are perpendicular.

Step-by-step explanation:

              4x - 2y = 6                           x + 2y = 14

           - 2y = - 4x + 6                        2y = - x + 14

               y = 2x - 3                             y = - ¹/₂x + 7

A.

y-intecept:  (0, -3)                                 (0, 7)

The lines don't share the same y-intercept

B.

x=1    ⇒   y = 2(1)-3 = -1      and        y = -¹/₂(1) + 7 = 6¹/₂ ≠ -1

the line  x+2y=14 doesn't go through point (1,−1) so the lines couldn't intersect at point (1,−1)

Slope:      m₁ = 2                                    m₂ = -¹/₂

C.

m₁· m₂ = 2·(-¹/₂) = -1

The lines are perpendicular.

D.

m₁  ≠  m₂          The lines are not parallel


Related Questions

PLZ HELP ASAP!!!!



In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students at
Washington would say corn is their favorite?

Answers

2,356 students would say corn is their favorite because if 62 out of 100 loved corn and there are 3,800 students you can multiply 62 by 38 and get your answer.

If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?

Answers

Answer:

AAA

Step-by-step explanation:

GET ECKED

Answer:

13

Step-by-step explanation:

This is my first time posting, so sorry if this isn't that clear.

Anyways:

We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.

We can find the x-intercept by plugging in 0 as y. So:

x/4+0/12=1

x/4=1

x=4

a=4 (since a is equal to the x-intercept.)

We can find the y intercept by plugging in x as 0:

0/4+y/12=1

y/12=1

y=12

b=12

We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.

So, 12+4-3=13.

(In case you didn't know how I got y=-3x+12. This is how:

x/4+y/12=1

12(x/4+y/12)=1(12)

3x+y=12

y=-3x+12 )

Answers are 1.–70 2.–12 3.–74 4.–36

Answers

Answer:

3. -74

Step-by-step explanation:

[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]

3, Find the total price of a a video game that costs $60.00 with a 7% tax-
Enter the number only. Round to the nearest cent.

Answers

64.20 dollars in total

14n + p – 6n = 16p solve for n please explain

Answers

The answer is 15/8 p

Which of the following is an IRRATIONAL number? (select ONE)

a
1.323232...
b
32/3
c
1.7284927172646362...
d
1.5

Answers

Answer:

Number C would be the irrational number

The temperature of a freezer started at 18°C. After cooling for a few hours, the freezer had a temperature of
-12°C. What is the difference between the new, colder temperature and the original temperature?

Answers

Answer:

30 C

Step-by-step explanation:

How to find difference: t1 - t2

Subsitute:

18 - (-12)

Double negative signs make a positive.

18 + 12

30

The population of a county is growing at a rate of 9% per year, compounded continuously. If the county currently has 14,934 people, how many will there be in this county in 10 years? Round to the nearest person.

Answers

100,344 is the answer

What is the value of x in the equation x*3 = 27 512 ?

Answers

Answer:
9,170.67

Explanation:
27,512 divided by 3 = 9,170.67
X=3

New equation:
9,170.67 * 3 = 27,512
Sorry if this is wrong

My question is, on Sunday, 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New York Giants game than attended the Jets game. Altogether, how many fans attended the games? Round each number to the nearest thousand to find an estimate of how many fans attended the games.

Answers

Answer:

Total number of fan = 80,495

Step-by-step explanation:

Given:

Number of fans attended = 77,098

Additional number of fans attended = 3,397

Find:

Total number of fan

Computation:

Total number of fan = Number of fans attended + Additional number of fans attended

Total number of fan = 77,098 + 3,397

Total number of fan = 80,495

A direct variation equation is in the form of y=kx.Is this a direct variation equation ?

Yes or No

Answers

Answer:

yes that is the direct variation equation

Yes it is direct variation

On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in order to complete a project for a VIP customer today. You notice the invoice looks a little different from other invoices that are usually processed. You know that by preparing the closing entries tomorrow, the miscellaneous expense will be set to zero for the beginning of the year. Should you write this check today and record the expense or write the check tomorrow? How would the company be affected if the check is written and the invoice ends up being erroneous?

Answers

Answer:

A. No, Should not in any way write the check today and neither record the expense or even write the check tomorrow.

B. The company will be affected if the check

was cut today and the expense was not recorded, which means that the net income of the current fiscal year will be increased by the amount of $2,000 while the net income of the next year will be reduced by the amount of $2,000 and this tend to happens due to some error.

Step-by-step explanation:

A. Based on accounting principle every debit entry must have a corresponding credit entry which means that in a situation where a check is been cut today for miscellaneous expense and for supplies the Miscellaneous expense account should be debited while the bank account should as well be credited based on the double entry principle because if not so the current year net income will wrongly shows and be higher with the amount of $2,000.

B. In a situation where the check was cut today and expense was recorded the following day or tomorrow it means that the current year financial statement net income will be increased by the amount of $2,000 while the amount shown in the balance sheet will decreased by the amount of $2,000.

Therefore I can issue a check today and as well record the expense the same day in which the check was issued.

Following are the solution to the given question:

When an invoice appears to just be distinct from those other bills which are typically handled, this should be filtered once the accountant receives the necessary verification regarding its accuracy/validity.This expense must be noted as well as the check must be written only after sufficient proof of its legitimacy/accuracy has indeed been acquired. This is possible to do it now and tomorrow, but after ensuring that the bill is right. If the accountant has been unable to gather relevant data or evidence through that he or she is uncertain about the accuracy of the invoice as of today, the expense must be recorded as well as the check is written today only after being certain the invoice is correct.Whereas if cost is reported today as well as the check was made, this will increase the overall cost for the current year now and reduce the operating earnings again for the current quarter. Whether it is later discovered that this invoice was incorrect, a reverse of accounting point of view for this invoice must be posted, reducing the expense for the following year and raising the net income for the next month.When an expense is recorded in the current year and subsequently reversed in the following year (due to an incorrect invoice), the income for the current year will be understated, while the income for the following year would be overstated by the amount of the cost.Furthermore, so because the cheque was written yesterday in the current year, the cash/bank balance will be recorded as lowered by the amount of this check for the current year. Whenever the check is reversed the following year, its cash/bank balance would be tallied with cash/bank balance as recorded by the bank.

Learn more:

brainly.com/question/24003416

Complete the work to solve for y:
2
5
(
1
2
y + 5 ) −
4
5
=
1
2
y − 1 +
1
10
y
1.Distributive property:
1
5
y + 2 −
4
5
=
1
2
y − 1 +
1
10
y
2.Combine like terms:
1
5
y +
6
5
=
3
5
y − 1
3.Subtraction property of equality:
6
5
=
2
5
y − 1
Addition property of equality:
11
5
=
2
5
y
4.Division property of equality:

Answers

Answer:

11/2

Step-by-step explanation:

me took it on Ed with this question

Answer:

11/2

Step-by-step explanation:

i just got it correct

when j= -8 and k= 7, the value of the expression is​

Answers

Answer: 539

Step-by-step explanation: PLATO and Edmentum

Expression will have a value of 116 for the specified values of j and k.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  -4j + 12k

where given, j = -8

and k = 7

Substituting the values in the given expression

=> -4 * -8 + 12 *7

=> 32 + 84

=> 116

Therefore, the value of expression for the given values of j and k will be 116.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ2

Complete question:

when j= -8 and k= 7, the value of the expression -4j + 12k is​_____.

can you help my sis out agan sorry

Answers

Answer:

That would be .51000

Answer:

[tex]5.1[/tex]×[tex]10^{-4}[/tex]

[tex]6.3[/tex]×[tex]10^{-3}[/tex]

Step-by-step explanation:

If you move the decimal 4 times to the right, since it's a negative, you'll get the number 0.00051.

If you move the decimal 3 times to the right, since it's also a negative, you'll get the number of 0.0063.

Hope this helps!

In ASTU, u = 280 inches, 2T=63° and ZU=29º. Find the length of t, to the nearest
10th of an inch.

Answers

Answer:

514.6

Step-by-step explanation:

To simplify -36 ÷ (2)(3)^ 2 + 5, we first _____.
A.evaluate the exponent
B.divide -36 by 6
C.multiply the parenthesis
D.divide -36 by 2

Answers

Answer:

12

Step-by-step explanation:

Answer: evaluate the exponent

Step-by-step explanation:   -36/2.3^2+5  there is no parenthesis so

p

e

m

d

a

s

so the next one is exponents

you may think that (2) (3) is parenthesis but when a number is like that (x)(x) just mean to multiply the values  

52-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than seven times the length of the first piece. Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.

Answers

Answer:

First piece = a = 5 inches

Second piece = b = 10 inches

Third piece = c = 37 inches

Step-by-step explanation:

Let us represent:

First piece = a

Second piece = b

Third piece = c

52-inch piece of steel is cut into three pieces.

a + b + c = 52 inches

The second piece is twice as long as the first piece

= b = 2a

The third piece is two inches more than seven times the length of the first piece.

= c = 2 + 7(a)

Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.

a + b + c = 52 inches

Substitute 2a for b

2 + 7a for c

a + 2a + 2 + 7a = 52

Collect like terms

10a = 52 - 2

10a = 50

a = 50/10

a = 5 inches.

b = 2a

b = (2 × 5)

b = 10 inches

c = 2 + 7a

= 2 + 7(5)

= 2 + 35

= 37 inches

what is two plus two

Answers

It is 4 pretty easy but okay

What is the value of x?

Enter your answer in the box.

x=

Answers

Answer:

x=19

Step-by-step explanation:

Set both equal to each other and then solve for x

(5.31 x 103) – (2.8 x 103)

Answers

Answer:

258.53

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

I believe it is 258.53 ,,,,

in a triangle the height of a triangle h os measured by the formula h=2A/b where A = area of triangle and b=base of a triangle solve the formula for b

Answers

Answer: 2/8

Step-by-step explanation:

The endpoints of PQ are P(-3, 1) and Q(4, 25) Find the midpoint of PQ

Answers

Answer:

(-1, 14.5)

Step-by-step explanation:

Well there is a mid-point formula that looks like this:

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

So if we input our two points into the formula we get this:

m=((-3+1)/2) , ((4+25)/2)

Which can be simplified to get:

m=(-1, 14.5)

So these are your coordinates

which shows graph (-3,5) and (4,-3) plotted correctly?​

Answers

Answer: D

Hope it helps

Answer:

the forth one (d)

Step-by-step explanation:

Solve the following using the quadratic formula:


[tex]x^{2} - 9x - 45 = 0[/tex]

Answers

Answer:

AAAAAAAAAHHHHHHHHHHHHHH

Step-by-step explanation: I sorry but I can't answer this and still want to comment. See you this afternoon.

Answer:

x^2 - 9x-45=0

Step-by-step explanation:

x^2 - 9x-45=0

Brynne withdrew all the money from her savings account in a series of 4 withdrawals and now has a balance of - $20. What is the average change on her account per withdrawal

Answers

Answer:

Is $80

Step-by-step explanation:

Simplify:
-5 - 1( 9 + x ) - 4x

Answers

Answer:

[tex] - 5 - 1 \times (9 + x) - 4x = \\ - 5 - 9 - x - 4x = \\ -14 - 5x[/tex]

CAN SOME ONE HELP ME ASAP

Answers

Answer:

B

Step-by-step explanation:

1/5 is larger than 1/10

hope this helps ^^

if it did pls mark brainliest if possible

help me plzzz i don't know what to put​

Answers

The correct answer should be 4. 2 times 0.3 is 0.6. 3.4 plus 0.6 equals 4. ;)

PLS HELP
Frank received a $4.00 tip from a customer who had a $25.00 bill. Which decimal represents the fraction of the bill Frank received as a tip? 0.04 0.16 0.25 0.625

Answers

Answer:

0.16

Step-by-step explanation:

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