Mathematics College

10 Select the answer from the menu.

The equations y = 7x – 2 and 14x – 2y = 3 represent

(A) parallel lines

(B) perpendicular lines

(C) the same line

(D) intersecting, non-perpendicular lines

Answers

Answer 1

Answer:

Parallel lines

Step-by-step explanation:

The standard form of equation of a straight line is expressed as:

y = MX+c

m is the slope

Given the equations

y = 7x – 2

On comparison;

m = 7 i.e the slope of the line is 7

For the line 14x – 2y = 3

First write in standard form

-2y = -14x +3

y = -14x/-2 + 3/-2

y = 7x- 3/2

Hence the slope is also 7

Since both equations have the same slope hence they are parallel lines(Parallel lines have the same slope)

Related Questions

Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?

Answers

Answer:

Tanner's employer pays $1251.43 a year and tanner pays $834.29

Step-by-step explanation:

You buy a house for $230,000. It appreciates at a rate
of 2.8% per year. Find the value after 15 years

Answers

Answer:

1,232,142

Step-by-step explanation:

bro just use a calculator

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

Mrs. Davis and Ms. Moore bought treats for their students. Mrs. Davis bought cookies for $12.56 and Ms. Moore bought popcorn for $11.08. Another teacher, Mrs. Baynes, couldn't go to the store, but wanted to help with the cost of the treats. If the teachers split the cost evenly, how much would each teacher have to pay?​

Answers

Answer:

4.546

Step-by-step explanation:

total cost=12.56+11.08

=13.64

total no of person=3

cost for each person=13.64/3

=4.5467

Which is a factor of 72

Answers

Answer:

1,2,3,4,6,8,9,12,18,24,36 and72

What is the area, in square units, of the parallelogram shown below?


21
56
63
81

Answers

Answer:

63

Step-by-step explanation:

You find the area of a parallelogram the same way you would a rectangle.

A = lw or A = bh so A = (9)(7). A = 63

Answer:

C. 63

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

what is equal to 2/5

Answers

Answer:

0.4

Step-by-step explanation:

if fractions: 4/10, 6/15, 8/20, 10/25 and so on. decimal form: 0.4
percentage: 40%
hope that helps!!

Help pleaseeeeeee I’m so lost

Answers

Answer:

yes no no yes

Step-by-step explanation:

An item on sale costs  85% of the original price. The original price was  $75.​

Answers

Answer:

$63.75

Step-by-step explanation: I think

75 multiplied by 0.85 the answer is 63.75

Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?

Answers

Answer:

28 shirts are sold

7/9 of the shirts are sold

Step-by-step explanation:

hope this helps <3

Which graph represents the solution to the system of inequalities?




{y<−4x+1
{y≥−14x

Answers

Answer:

1st graph on line 2

Step-by-step explanation:

Convert to centimeters: 43 meters

Answers

4300
One meter is 100 centimeters

Need help ASAP... 10 points!!

Answers

Answer:

I'm 89.73% sure that the answer is 90 degrees

Step-by-step explanation:

because you are on a right angle

LCM of 189024
please give me answer my question​

Answers

Answer:

360

Step-by-step explanation:

We need to find the LCM of 18,90 and 24.

The prime factorization of 18 = 2 × 3 × 3

The prime factorization of 90 = 2 × 5×3×3

The prime factorization of 24 = 2 × 3×2×2

LCM is least common multiple.

LCM = 2 x 2 x 2 x 3 x 3 x 5

= 360

Hence, the LCM of 18,90 and 24 is 360.

If the simple interest on $6,000 for 10 years is $5,400, then what is the interest rate?

Answers

Answer:

9%

Step-by-step explanation:

p*r*t = Interest

$6000*x*10 years = $5400

interest ÷ time ÷ principal = rate

5400 ÷ 10 ÷ 6000 = 0.09

0.09 = 9%

Find the least common multiple (LCM) of 4 and 5.

Answers

9514 1404 393

Answer:

  20

Step-by-step explanation:

4 and 5 have no common factors*, so their least common multiple is their product:

  4 × 5 = 20

The LCM of 4 and 5 is 20.

_____

* We're concerned with integer factors greater than 1. Of course, 1 is a factor of everything, We could say this as "no common prime factors". For computing the LCM, we really want the GCF (greatest common factor) for use in the formula ...

  LCM(m, n) = mn/GCF(m, n)

A Porsche uses 2.5 litres of fuel every 2 kilometres it travels. How much fuel does it use if it travels 50 kilometres​

Answers

2.5/2 = 1.25 litres per kilo
1.25 * 50 = 62.5 litres

Solution: 62.5 litres of fuel

Answer:

The Porsche uses 62.5 liters in 50 kilometers

Step-by-step explanation:

Amount of fuel Porsche uses = 2.5/2 liters/kilometer

                                                  = 1.25 L/Km

         Distance to be travelled = 50 kilometer

Amount of fuel used in 50 km = 1.25 * 50

                                                  = 62.5 Liters

Therefore the Porsche uses 62.5 liters in 50 kilometers

Happy to help :)

Evalute the root in the question below in the screenshot
(precalc)

Answers

Answer:

Graph attached

Step-by-step explanation:

jenkins-traub method for the complicate calculation

it has 1 real root: 1.5164

2 complex roots : neglected

a. The sum of a number and one is equal to one added to the number.

Answers

Equal to the number that your didviding or multiplying

An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.

Answers

Answer:

15y+x

Step-by-step explanation:

Please help!!!———————-

Answers

f(n) = 2000 + 500(n-1)

Step-by-step explanation:

most logical explanation considering the other options make no sense

The line passes through (6,3) and (-1,-8)

Answers

Answer:

OK AND CAN U TELL ME WHAT TO ANSWER SO I CAN HELP

Step-by-step explanation:

THIS IS THE LINE I DID ON A GRAPH

Answer:

=gitchie ggitchei yayadada

Consider the line 2x+8y=8.

What is the slope of a line
parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer: parallel = - 1/4

Step-by-step explanation: perpendicular= 4

Answer:

Parallel = -1/4 ; Perpendicular = 4

Step-by-step explanation:

First, I'll put the line into slope-intercept form.

2x + 8y = 8

8y = -2x + 8

y = -1/4x + 1

Now we know that the slope is -1/4.

A parallel line would have the same slope of -1/4.

A perpendicular line would have a slope of 4.

Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i) =

Answers

Step-by-step explanation:

By Difference of Squares,

a² - b² = (a + b)(a - b).

=> (3 + 8i)(3 - 8i) = 3² - (8i)²

= 9 - 64i² = 9 - 64(-1) = 73.

The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative winter snowfall (inches) by 12. Determine the amount of winter snow that accumulates 6 inches of water in the soil.
a.
6 inches of snow
b.
84 inches of snow
c.
72 inches of snow
d.
12 inches of snow

Answers

Answer:

C

Step-by-step explanation:

its just 12 times 6

Answer:

c

Step-by-step explanation:

I took the test and got it right

Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)​

Answers

Answer:

D. [tex](5,6)[/tex]

Step-by-step explanation:

Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:

1) Dilation

[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex]  (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]R(x,y)[/tex] - Original point.

[tex]R'(x,y)[/tex] - Dilated point.

[tex]k[/tex] - Scale factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:

[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]

[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]

[tex]R'(x,y) = (3,6)[/tex]

2) Translation

[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)

Where:

[tex]R'(x,y)[/tex] - Original point.

[tex]T(x,y)[/tex] - Translation point.

[tex]R''(x,y)[/tex] - Translated point.

If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:

[tex]R''(x,y) = (3,6)+(2,0)[/tex]

[tex]R''(x,y) = (5,6)[/tex]

Therefore, the correct answer is D.

Answer:d

Step-by-step explanation:

Let [tex]\sf a+b,a-b,ab,\dfrac{a}{b}[/tex] form an arithmetic sequence. What is the sixth term of this sequence?​

Answers

Answer:

171/40 or 4 11/40

Step-by-step explanation:

AP givena + b, a - b,  ab, a/bTo find6th termSolution

Common difference

Difference of first two

d = (a -b) - (a + b) = -2b

Difference of second two

d= ab - (a - b)

Difference of last two

d = a/b - ab

Now comparing d:

-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)

and

a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)

Eliminating a:

2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5

Finding a:

a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8

So the first term is:

a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

Common difference:

d = -2b = -2(-3/5) = 6/5

The 6th term:

a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40

If the area of each of the triangular regions is as shown, what is the area of the polygon?

18
17
16

Answers

Answer:

18

Step-by-step explanation:

Find the slope intercept equation of the line.

Answers

The equation for the slope interception is 1/5

Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.

Answers

Answer:

18 naps

Step-by-step explanation:

We have the keyword each, so we are multiplying, so our equation is:

3 x 6 = 18

So, Katie's baby napped for 18 hours in all

Answer:

18 is the answer  

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