MATHEMATICS HIGH SCHOOL

Indicate the relationship between the line: 2x - 5y = 10 , and the line: 10x + 4y = 20Which of the 3 is correct

Parallel
Perpendicular
They intersect at an angle other than 90 degrees

Answers

Answer 1
Answer:

Answer:

Perpendicular

Step-by-step explanation:

Here, we want to know the relationship between the two lines .

The easiest way to go about this is to get their slopes;

Mathematically, the equation of a straight line can be expressed in the form;

y = mx + c

where m is the slope;

Hence;

2x -5y = 10

Isolating the y part

5y = 2x -10

divide through by 5

y = 2/5x - 2

So the slope here is 2/5

for the second line

10x + 4y = 20

Divide by 2 all through

5x + 2y = 10

Isolate y

2y = 10-5x

Divide by 2 again

y = 5 -5/2x

The slope here is -5/2

What do we notice? we can see that if we multiply the two slopes by each other, we get -1

That is;

2/5 * -5/2 = -1

What this means is that both lines are perpendicular.

This is because the slopes of perpendicular lines, when multiplied by each other = -1
Answer 2
Answer:

Final answer:

The two given lines, 2x - 5y = 10 and 10x + 4y = 20, intersect at an angle other than 90 degrees. We determined this by finding the slope of each line and seeing that they are neither equal (for parallel lines) nor negative reciprocals (for perpendicular lines).

Explanation:

To determine the relationship between the lines 2x - 5y = 10 and 10x + 4y = 20, we need to analyze their slopes. Both equations can be rewritten in slope-intercept form (y = mx + b) to determine their slopes. The first equation becomes y = (2/5)x - 2, and the second equation becomes y = (-10/4)x + 5.

The slopes of the two lines are m1 = 2/5 and m2 = -10/4. Since the slopes are different, the lines are not parallel. To determine if they are perpendicular, we need to check if their slopes are negative reciprocals.

The product of the slopes is (2/5)(-10/4) = -4/5. Since the product is not -1, the lines are not perpendicular. Therefore, the correct relationship is that the lines intersect at an angle other than 90 degrees.

Learn more about Relationship between two lines here:

brainly.com/question/33155255

#SPJ3

Related Questions

Seven tenths is_________pieces of the whole
C/d+2=f/g solve for c
A circular garden has a radius of 3 meters what is the area of the garden using pi
Factor 2x2 + 11x + 15 symbolically , in time plz thank you
What is the value of this expression when c=4 c^3/2

If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter. What is the volume of the tank? Assume that 3.14 is the value for pi.

Answers

h = 3 m,  d = 6 m , so: r = 3 m;
The volume of the tank is:
V = r² π h = 3² · 3.14 · 3 = 9 · 3.14 · 3  =  27 · 3.14 = 84.78 m³

Answer:

The volume of the tank is 84.78\ m^(3)

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^(2)h

In this problem we have

r=6/2=3\ m -----> the radius is half the diameter

h=3\ m

substitute

V=(3.14)(3^(2))(3)=84.78\ m^(3)

You score an 80% on your test. You answer 44 questions correctly. How many questions were on the test?​

Answers

Answer:

depending on how many points each question is worth I'd say there were 45 or 46

Step-by-step explanation:

Leila received a $80 gift card for a coffee store.She used it in buying some coffew that cost $8.24 per pound.After buyinh the coffee,she had $55.28 left on her card.How many pounds of coffee did she buy

Answers

Answer:3

Step-by-step explanation:

Answer:

the answer is that 3 pounds of coffee was bought.

Step-by-step explanation:

80-55.28

=24.72

24.72÷3= 8.24

the answer is 3

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.

She writes the equation of the function like this: E(x) = 20x - 50, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

What does the slope of Jessica's function represent?

a. For each additional set of books she sells, her earnings will increase by $20.

b. For each additional door she knocks on, her earnings will increase by $20.

c. For each additional set of books she sells, her earnings will increase by $50.

d. For each additional door she knocks on, her earnings will increase by $50.

Answers

Hello there.

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. 

After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on. 

She writes the equation of the function like this: E(x) = 20x - 50, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.


b. For each additional door she knocks on, her earnings will increase by $20.
For the answer to the question above, 
since the only variable used to determine earnings is the number of doors knocked, you can eliminate options 1 and 3 as they are based on the number of books sold, which is not a part of the equation. 

That leaves the only options being the increase of $20 or $50 for each door knocked. As the x value we multiply by 20, the correct answer is #2, her earnings will increase by $20 for each door knocked. 

You can also check this by plugging in values: 

Assume 10 doors are knocked: 
E(10) = 20(10)-50 = 200-50 = 150 

Assume 11 doors (1 more door) is knocked: 
E(11) = 20(11)-50 = 220-50 = 170 

The increase from 1 door is $20.

A fruit seller bought 50 kg of fruits.He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quality for the cost price of 16 kg of fruits. Calculate his profit or loss per cent in the total transaction.

Answers

Answer:

The fruit seller earn 2% profit.

Step-by-step explanation:
2 percent hope it helps

Please help me with this question! :)

Answers

i think it might be 2?

Answer:

2

Step-by-step explanation:

figure 1 had 6

figure 2 had 10

figure 3 had 14

so 6-4=2
Other Questions
CAN SOMEBODY PLEASE HELP ME I AM SO CONFUSEDD
Which of these is an example of using financial reserves for a occasional expense? a. You know that your car will need a tune-up and other routine maintenance every winter, so you save a little money every month in preparation and use the saved money to pay when winter comes around. b. You are hit with a summer heat wave and your utility bill spikes, so you use your credit card to pay the bill and pay off the balance over the next few months. c. You graduate college and need to start paying back your student loans, so you devote some of your income every month to paying down the debt. d. You are never quite sure how much money you spend on food every month, and every so often you need to pull a tiny bit from your retirement fund to pay for groceries.
Question: Michelle is making goodie bags for Christmas filled with chocolate and candy. Chocolates cost $2.50 per lb and candy cost $3.00 per lb. Michelle spent a total of $40 on 20 lbs of candy. How much of each kind of candy did she purchase ?
Pythagorean Theorem Determine the length of the missing side?