The lines represented by the equations 25y
10x = 200 and 5y + 2x = 40 are
neither parallel nor perpendicular
perpendicular
the same line
parallel

Answers

Answer 1

Answer:

C: The Same Line

Step-by-step explanation:

So to start we need to first know what makes lines parallel or perpendicular. Two parallel lines will have the same slope, but different y-intercepts because we know they never cross. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We can see that neither equation is in this form, so we have to convert it.

Starting with the first, (I assume despite the typo) we have [tex]25y+10x= 200[/tex]

So we need to isolate the [tex]y[/tex] from everything else.

First, we'll subtract [tex]10x[/tex] from both sides of the equal sign to get [tex]25y=-10x+200[/tex]

Second, we'll divide both sides by [tex]25[/tex] to get [tex]y=-\frac{2}{5} x+8[/tex]

This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the first line.

Now onto the second we have [tex]5y+2x=40[/tex] so we're going to follow the same steps to isolate [tex]y[/tex].

First, we'll subtract [tex]2x[/tex] from both sides to get [tex]5y=-2x+40[/tex]

Second, we'll divide both sides by [tex]5[/tex] to get [tex]y=-\frac{2}{5}x +8[/tex]

This means that [tex]-\frac{2}{5}[/tex] is the slope and [tex]8[/tex] is the y-intercept of the second line.

Since both of the lines have a slope [tex]-\frac{2}{5}[/tex] we know that they are parallel, so we need to check to check if they're the same by looking at the y-intercept. We can see that [tex]8[/tex] is the y-intercept of both lines, so they would be the same line.


Related Questions

TIME REMAINING
13:42
Atlanta and Los Angeles have two of the top ten busiest airports in the world. In 2011, Atlanta had approximately 92.365 million passengers flying through its airport. If Los Angeles had 30.517 million fewer passengers, how many passengers did Los Angeles have?
61.848 million
89.313 million
99.314 million
122.882 million

Answers

61.848
Mark me as brainliest????? :((((((

The radius of a semicircle is 2 centimeters what is the semicircular diameter

Answers

I’m not sure if a semicircle would be the same as a normal circle but D=2R so 4

I need some help understanding this​

Answers

Answer:

????what is the question

Write an equation in point-slope form of the line that passes through (2,7) and has the slope m=4

Answers

Answer: y-7=4(x-2)

Step-by-step explanation:

Point-slope form is y-y₁=m(x-x₁). Since we are given the point and slope, we can directly plug them in.

y-7=4(x-2)

Now, we know that y-7=4(x-2) is the equation.

Mrs.Baker bought some books at the book sale,including 12 paperback books.24%of all the books she got were paperbacks.how many books did Mrs.Miller buy in all

Answers

Answer:

50

Step-by-step explanation:

12books=24%of all books

12×2=24

100-24= 76

76÷2=38

38+12=50

-5+2a=4a-4-3a help plz and thank you ​

Answers

Answer:

a=1

Step-by-step explanation:

To make this easier, combine like terms first.

-5+2a=4a-4-3a

-5+2a=a-4

Then, add 5 on both sides.

-5+2a=a-4

+5         +5

2a=a+1

Now, subtract a on both sides.

2a=a+1

-a  -a

a=1

Hope this helps you out!!!! Have an amazing day :3

Consider function h.

What is the approximate range of function h?

(blank) (blank) y (blank) (blank)

Options: 3, 6, -2, -∞, 12, ∞
<, ≤

Answers

Answer:

Range : (-∞, 12] Or -∞ < x ≤ 12.

Step-by-step explanation:

Domain of function is represented by the x-values (input values) of the function given in the graph.

Similarly, Range of the function is define by the y-values (output values) on the graph of a function.

Since y-values on the graph are between 12 and negative infinity (Including 12),

Therefore, range of the function will be (-∞, 12] or -∞ < x ≤ 12

Answer:

-∞ < y ≤ 12

Step-by-step explanation:

For all Plato users

0.315 ___ 0.615 what sign do i put

Answers

Answer:

Less than - hope it helpssssss

Step-by-step explanation:

A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each

Answers

Answer:

$23.04

Step-by-step explanation:

5) A bird, flying 25 feet above the sea, spotted a fish swimming 7 feet below the surface. How far did the bird need to go to catch the fish? 6) Tanecia borrowed $15 from her parents to buy a tick to see her favorite band. Her neighbors gave her $5 for mowing the lawn, which she gave back to her parents. much money did she owe them now?.​

Answers

Answer:

5) 32 because 25 +7 = 32

6) 10$ because she used 15 dollars than she was paid 5 dollars which she gave to her parents so she now only owes them 10 back

You want to go to the movies with your friends and your parents offer to pay for everyone.
If each movie ticket is $13.50 and you plan on splitting a giant popcorn and drink that cost
$19.95 total, what is the maximum number of tickets you can buy if your parents give you
$75?

Answers

Answer:

4 tickets

Step-by-step explanation:

1. make an equation representing the situation. x is the number of how many tickets you buy

  13.5x + 19.95 = 75

2. subtract 19.95 from both sides

  13.5x = 55.05

3. divide by 13.5 on both sides

  x = 4.08

now, you can't buy 0.08 of a ticket, so you have to round to the nearest whole number, which in this case is 4.

Answer:

4 tickets

Step-by-step explanation:.

13.5x + 19.95 = 75

13.5x  = 55.05

x  = 4.08

Now, you have to round to the nearest whole number, which in this case is 4.

what's the answer? please help

Answers

Answer:

The x pattern goes by adding 2 each time; the y pattern goes by adding 6 each time.

Slope formula: y/x

= 6/2

= 3

What is 5.269 written as a mixed number

Answers

5.269 as a mixed number is, 5 269/1000

A cleaning service orders 7 large bottles and 14 small bottles of a cleaning product. Each large bottle has 124 ounces. Each small bottle has 64 ounces. Which is the best estimate of the total amount of cleaning product the cleaning service orders? A. 1,200 ounces B. 2,000 ounces C. 2,800 ounces D. 3,000 ounces

Answers

Answer:

100000000D addd all of them numbers

Answer:

b

Step-by-step explanation:

There was 1768 so its 2k

What would D,E, I need help with these questions

Answers

Answer:

D - 43°

E - 43°

Step-by-step explanation:

In squares all sides are equal, which means one of these angles are given and neither one leave the square, so 43° would be the degree of each angle inside this square.

:D

How would I find the answer to this

Answers

Answer:

answer is 108

Step-by-step explanation:

You would divide 28 by 7 which is 4 so the bigger triangle is 4 times the size of the smaller rectangle. in order to find the perimeter you would multiply each side of the smaller triangle by 4 and add up all the sums. except the one you were given so 28+(12times4)+(8times 4)+108

hope this helps you out :)

How do you rewrite a squared • a to the power of 4 using only one exponent?

Answers

Answer:

It's probably a^6

Step-by-step explanation:

a^2 * a^4

a^2+4

a^6

Answer:

[tex]a^2*a^4\\= a^6[/tex]

I got the answer by the property: [tex]a^m*a^n = a^m^+^n[/tex]

Write a number that has a digit that is 10 times the 2 in 7.32_.

Answers

Answer: 7.2

The 2 in the number 7.32 is in the tenths place.

We must move it to the hundredths place, 1 step forward.

You get a number of 7.2. The answer can be 7.2.

Hope this helps!

how much is 2x4x6x8=?

Answers

Answer:

384

Step-by-step explanation:

Answer:

your answer will be 384

Step-by-step explanation:

2x4x6x8=384

Solve for x.
4x +15 > 23

Answers

Answer: x > 2

Step-by-step explanation:

First, you need to isolate the variable by subtracting each side by 15.

4x + 15 > 23

      -15    -15

= 4x > 8

To get the value for the variable, divide each side by 4.

4x/4 = x  8/2 = 2

x>2

Answer:

Step-by-step explanation:

4x + 15 > 23

4x > 8

x > 2

State the rang of relation ?
PLSS HELP:(

Answers

Answer:

Range is the Y values

{1,-5, 7, 0}

What is the area of the triangle?

Answers

Answer:

40

Step-by-step explanation:

1/2 x Base x Height which is the formula to find area of triangles

to find the area of a triangle you must use length x width ÷ 2

10x8=80 ÷2= 40

Therefore the answer is:
The area of the triangle is 40 units

From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by
11,870 more than the population increase of Queens.
a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011.
(Round the addends to estimate.)
b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.

Answers

Answer:

The population of Queens increased by 16,075.

The population of Brooklyn increased by 11,870 more than that, then the population of Brooklyn increased by:

16,075 + 11,870 = 27,945

a) The total combined population increase is (when we round the addens)

I will round in the thousands place.

To do it, we must look at the hundreds place, if the decimal is 5 or larger, we round up.

If the decimal is smaller than 5, we round down.

16,074 ≈ 16,000

27,945 ≈ 28,000

16,000 + 28,000 = 44,000

b) Now using the actual numbers:

16,075 + 27,945 = 44,020.

c) now let's compare our two results:

Let's see the difference between them

a = 44,000

b = 44,020

a - b = 44,000 - 44,020 = -20.

This means that our estimated from (a) is 20 units smaller than the actual number.

But this is insignificant compared with the 44,020.

Why?

we can calculate the relative error as:

100%*(estimate value - real value)/(real value)

100%*(-20/44,020) = -0.05%

So the error is on the -0.05%, which is despreciable.

From this, we can conclude that the estimation in (a) is a really good estimation.

Answer:

5

Step-by-step explanation:

no or 6

I need help with this answer

Answers

First one bababoi. Bababoi

Answer:

the answer is A.

Step-by-step explanation:

5^4 is just saying 5x5x5x5

#2.) Town B is 380 km do south of town A. Town C is 460 km due east of town B. What is the distance from town A to town C? Explain your reasoning. Be ute to round your answer appropriately.

Answers

Is this 10 points...

7, 10,13,...
Find the 33rd term

Answers

Answer:

the answer is 113

Step-by-step explanation:

add by 3

Excuse me little lady how was your day what’s your number may I say

How do you do this question?

Answers

Answer:

100

Step-by-step explanation:

│an − L│< ε

│(1 − 1/n) − 1│< 1/100

│-1/n│< 1/100

1/n < 1/100

n > 100

Determine the value of y, if x is – 1.
y = |x| – 4

Answers

Answer:

y = -3

Step-by-step explanation:

y = |x| - 4

y = |-1| - 4

y = 1 - 4

y = -3

sara can ride her bicycle 3 miles in 12 minutes. at this rate how many miles can she ride her bicycle in 60 minutes?
a. 5
b. 10
c. 15
d. 20

Answers

Answer:

A. 5

Explanation:

12 times 5 is 60

PLS HELP I CANT DO THIS

Answers

Answer:

The answer would be 5

Step-by-step explanation:

2x2x2=8

Lets use the other 5 since it is already given to us.

so 8x5=40

no we must get 200 with the 40

so 200/40=5

Thus the missing number will be 5

PLEASE MARK AS BRAINLIEST

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