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

please help important!!!!!!!!!!!!!

Answers

Answer:

the answer is B!! hopefully this helps

what is the slope of (2,-2) and (5, -6) ?

Answers

Answer:

-4/3

Step-by-step explanation:

Answer:

m = - 4 /3

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m = y2 - y1 / x2 - x1

m =( -6) - (-2)/ 5 - 2

m = -6 plus 2 / 3               I put plus because negative times negative is plus

m = -4 / 3        negative 6 plus 2 is -4

To find y2, y1, x2 and x1 you have look on the two points that they gave you.

(2, -2), The x1 is 2 and y1 is -2

(5,-6), The x2 is 5 and y2 is -6

At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let J represent the amount of money John has saved tt weeks after the beginning of the year and let I represent the amount of money Isaac has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.

Answers

john- 40+t13= j
isaac- 80+t9=i
They would have the same amount of money after 10 weeks
john- 40+(10•13)= 170
isaac- 80+(10•9)= 170

what are the next 2 sequences to 5, 1, 6, 7, 13, 21, 34,

Answers

Answer:

55,89

Step-by-step explanation:

Here we see a sequence where the pattern is achieved by adding each new term to the term before to get the next term

5+1=6

1+6=7

6+7=13 etc

So for the next two terms: 21+34=55

55+34=89

Answer:

5, 1, 6, 7, 13, 21, 34, 51, 77

Solution:

Next possible number in the given sequence I. -4,1,8 is 17

Next possible number in the given sequence II. 5,6,13 is 26

☆ The next 2 number for given series -4,5,1,6,8,13 are 17,26

☆The next 2 number for given series 5,1,6,7,13,21,34 are 51,77

Find the perimeter of the polygon with the vertices Q( – 3, 2), R(1, 2), S(1, - 2), and T (-3, -2).
, -2)

Answers

Answer:

Step-by-step explanation:

16
Which of the following expressions are equivalent to 25 -
5
? Select all that apply.
1 16
25 5
(25x16)
5
(25x5)
16
125
16
0 0 0
1
25
х
5
16

Answers

Answer:

1,16, that is the answers

Which of the following expressions is equivalent to x - 9 - 3x + 2y + 3 – 2?

A.4x + 2y + 14
B.3x + 2y + 1
C. X-9
D.2x + 2y - 8

Answers

it is D because

-3x + x = 2x

2y

3 - 9 - 2 = -8

2x +2y -8

so it’s D

Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.

(I) Buy 2, get two free (II) 45% off (III) 1/2off
The best deal would be either .
Either case would result in a discount of %,
which is better than the other alternative of %.
PLZ ANSWER ASAP!

Answers

Answer

Buy 2, get 2 free and/or 1/2 off

Step-by-step explanation:

OK, lets say that the tire price was 15. (l)= 15+15=30 (ll)= 15/45%= 33.33x4=133.32 (lll)= 15/2=7.5   7.5x4=30

Find the sale price of the item. Round to two decimal places if necessary.


Original price: $76.00

Markdown: 33%


The sale price is $ .


PLZ ANSWER ASAP!

Answers

25.08 I think
I divided 76.00 by 33
$50.92 would be the sale price of the item

You spent $88 buying two shirts at Macy's along with two scarves that cost $30.00. If s is the cost of the shirt, and the equation representing the purchase is: 2s + 30.00 = 88. What is the cost of the shirt?

Answers

Answer:

58

Step-by-step explanation:

Answer:

s = 29

Step-by-step explanation:

Let's solve your equation step-by-step.

2s+30=88

Step 1: Subtract 30 from both sides.

2s+30−30=88−30

2s=58

Step 2: Divide both sides by 2.

2s

2

=

58

2

s=29

Hope this helps!

(s means shirt)

What are the coordinates of point P on the directed line segment from A (-5, -4) to B(5, 1) that partitions the segment into a ratio of 3 to 2?

(1 point)

(11,4)

0 (-1, -2)

O (1, -1)

O 0,- 3)

Answers

Answer:

Option (3)

Step-by-step explanation:

Coordinates of a point (h, k) which divides a line with ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the ratio of m : n are,

h = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

k = [tex]\frac{my_2+ny_1}{m+n}[/tex]

If the ends of line AB are A(-5, -4) and B(5, 1) and a point (h, k) divides this line into two parts in the ratio of 3 : 2

h = [tex]\frac{3\times (5)+2(-5)}{3+2}[/tex]

h = 1

k = [tex]\frac{3(1)+2(-4)}{3+2}[/tex]

k = -1

Therefore, coordinates of the point (h, k) are (1, -1).

Option (3) will be the answer.

fat help me fast help

Answers

false because the mountain was created with the North not the South plate.

halp me I need halp plz

Answers

Answer:

3     13/20

Step-by-step instructions

Answer:

The correct equation that is shown is number 3. (edited).

Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answers

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

can any body help me with 1 through 9 pls i will be very thankful:D

Answers

Answer:

1. 56%

2. 6.5%

3. 135

4. 13.8

5. 51

6. 92.5

7. 168

8. 14

9. 156.25

Step-by-step explanation:

What’s 4(60+78)-9, I need help, I’m having a brain fart

Answers

Answer:

543

Step-by-step explanation:

4(138)-9

552-9

543

Answer:

543

Step-by-step explanation:

based on PEMDAS

paranthesis first 60+78= 138

then you would multiply 4x138=552

then you would 552-9= 543

guys hurry i have a starter
idk what the answer

Answers

Answer:

The letter E

HOPE THIS HELPS YOU Do mark as brainliest

evaluate −5x+8 when x=3.

Answers

Answer:

-7

Step-by-step explanation:

-5(3) +8

-15+8

7

Answer:

plug x in

-5 (3) + 8

-15 + 8

-7

Step-by-step explanation:

Which graph represents all the solutions of the inequality 10n+3>8n+7?

Answers

Answer:

what graphs are you talking about

Step-by-step explanation:

3x
__ +2= 4x-1
4

PLZ HELP ME OMG

Answers

well if youre trying to simplify it then the answer would be x=12/13 or in decimal form 0.923076

What is the equation of the following graph

Answers

Answer:

Undefined

Step-by-step explanation:

What is the area of the triangle?

Answers

Answer:

108

Step-by-step explanation:

base times hight i think its been a while since i looked at the area of a triangle

Answer:

The area is 54 units^2

Step-by-step explanation:

The area equation of a triangle is (base x height)/2

So I plugged in the numbers into the equation

(6 x 18 ) / 2

(108)/2

54 units^2

The product Of (x-1) And A Rational Expression Is 1. Find The Rational Expression

Answers

Answer:

[tex]\frac{1}{x-1}[/tex]

Step-by-step explanation:

(x - 1) × [tex]\frac{1}{x-1}[/tex] ( cancel the factor (x - 1) on numerator and denominator

= 1

[ In the same way 2 × [tex]\frac{1}{2}[/tex] = 1 ]

The required rational expression is [tex]\frac{1}{x-1}[/tex]

An electronics store is selling car chargers for cell phones. The expense function is E = - 300p + 13, 000 and the revenue function is R = - 32p ^ 2 + 1, 200p. What would that maximum revenue be?

Answers

Answer:

Wala akong pake kasi ndi naman ako marunong sa math

PLEASE HELP I NEED THIS RLY QUICK ILY

Answers

Answer:

it is B

Step-by-step explanation:

what is this answer ​

Answers

Answer:

a

Step-by-step explanation:

the unit rate is 10 whcih is higher then everyone elses

write an equation that is parallel to the equation (-3,-5) and (1,7) and goes through the point (2,4)

Answers

You didn't give an original equation, just the two points so I'm just going to go ahead and assume that b = 0, but in reality, it doesn't really matter what it equals I think.

Slope intercept form:

First, we find the slope, so we do y1-y2/x1-x2 which is 3. So then we do y=mx+b so 4=3(2)+b. Then we do 4=6+b. So, b = -2.

So the equation is y=3x-2

Find the slope which we already know. Plug into y-y1=m(x-x1).

y-4=3(x-2)

y-4=3x+6

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

Answers

Answer:

C. Brian and Damien both answered 2 more questions correctly than Chris did.

Step-by-step explanation:

A. Brian and Damien both answered 2 fewer questions correctly than Chris did.

B. Brian and Damien both answered 4 more questions correctly than Chris did.

C. Brian and Damien both answered 2 more questions correctly than Chris did.

D. Brian and Damien both answered 4 fewer questions correctly than Chris did.

Let

B = number of questions Brian got right

C = number of questions Chris got right

D = number of questions Damien got right

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.

B = 14 + (1/4) * C

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.

D = (5/4) C - 2

If Brian and Damien have the same score,

14 + (1/4) * C = (5/4) C - 2

14 + 1/4C = 5/4C - 2

14 + 2 = 5/4C - 1/4C

16 = 5C-C/4

16 = 4/4C

C = 16

B = 14 + (1/4) * C

= 14 + 1/4*16

= 14 + 4

= 18

D = (5/4) C - 2

= 5/4*16 - 2

= 5*4 - 2

= 20 - 2

= 18

Solve for p in the literal equation 5p + 6r = q.

Answers

Answer:

p = q /2 − 5 r /2

Answer:

5p+6r=q, move the variable 6r to the right which makes it a negative.
5p=q-6r, divide both sides by 5.
p=1/5q-6/5r should be your answer

I am in need of help with line and angle proofs.​

Answers

I can help you, just let me know
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