Mathematics High School

What rule would you allow to test weather (x,y) is on line l

Answers

Answer 1

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{10-5}{8-4}[/tex]

m = [tex]\frac{5}{4}[/tex]

Equation of the line passing through C(4, 5) and slope m = [tex]\frac{5}{4}[/tex]

y - y' = m(x - x')

y - 5 = [tex]\frac{5}{4}(x-4)[/tex]

y = [tex]\frac{5}{4}x-5+5[/tex]

y = [tex]\frac{5}{4}x[/tex]

If point B(4, 0) lies on the line CD,

0 = [tex]\frac{5}{4}(4)[/tex]

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.

Related Questions

N-(-7)= 12 how do you rewrite

Answers

Answer:

N + 7 = 12

Step-by-step explanation:

When you have a number minus a negative number, it's the same as addition.

Answer:

N=4

Step-by-step explanation:

or N- x -7=12 because

( ) means multiplication

Name a line containing point V.

Answers

Answer:

Line A

Step-by-step explanation:

AAnswer:

Step-by-step explanation:

2y + 14x - 7x + 9y

Answers

Answer:

1, - 2

Step-by-step explanation:

Answer:

7x + 11y

Explanation:

1. Subtract 7x from 14x. 2y + 7x + 9y

2. Add 2y and 9y together. 11y + 7x

In Exercises 8-9, write a linear function f with the given values.
8. f(1)=3,f(3)=4
9. f(6)=9,f(-5)=0

Answers

Answer:

yo add me on intagram Its_yo-Boy_Jonathan65

Step-by-step explanation:

Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since the slope of the line, m = -1/2

and we know that, line equation is, y=mx+c

so the answer is, option 1.)

1.) y-4 = -1/2 (x+6)

$1500 at 4% for 5 years

show your work please.

Answers

Answer:

$12825

Step-by-step explanation:

If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825

The ratio of collectible cards Deshawn owns to cards that Stephanie owns is 5:2 Stephanie has 36 cards how will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Answers

Given :

The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.

Stephanie has 36 cards.

To Find :

How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Solution :

Number of card Deshawn had, n = 5/2 × 36

n = 90 .

Number of card after they sell half there cards :

[tex]n_D = \dfrac{90}{2}=45[/tex]

[tex]n_S=\dfrac{36}{2}=18[/tex]

Therefore, new ratio is [tex]\dfrac{45}{18}=5 : 2[/tex].

So, new ratio will be same.

identify the property of equality which yields step 4

Answers

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[tex]Division \: \: \: Property[/tex]

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The correct answer is (( A )) .

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There are a total of 24 people at Camp Float-Away. If 4 of the people are counselors, what is the ratio of campers to counselors?

Answers

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

What is the answer and method to find the quotient of 5.25/1.5

Answers

Answer: 3.5

Use long division

Is the solution to a two-variable inequality always a solution of the related function? Explain.

Answers

Answer:

not always

Step-by-step explanation:

above

HELLO, plz answer this. Ming won 121 lollipops playing basketball at her school's game night. Later, She gave 48 to each of her friends. She only has 9 remaining. How many friends does she have? Write an equation for this problem and solve it with steps.

Answers

Answer:

Ming has 2 friends

(121-9)÷48= 2.3

You can´t split apart people.

First subtract 9 from 121 then divide by 48 to find how man friends Ming has.

£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day

I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bus travel in one hour?

Answers

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

Is there another way to convert fractions to decimals (explanation pls ❤️)

Answers

Answer:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Step-by-step explanation:

Answer: The simplest method is to use a calculator.

Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)

PLEASE ANSWER ASAP
Part I: Given the function ()-3./242)
A. What restriction is there on the value under the square root symbol? In other words, what can't you
do with a square root expression? (1 point)

Answers

Answer:

x - 2 ≥ 0

Step-by-step explanation:

The expression under the square root cannot be negative, thus

x - 2 ≥ 0 , that is

x ≥ 2

pls help I will give you brainliest just help please

Answers

Answer:

The answer is A & D.

Step-by-step explanation:

Hope this helps

Given: -2(5x-3/4)=-10x+3/2

-2(5x)+(-2)(-3/4)

=-10x+3/2

The radius of Earth is 6,371.0 kilometers and the radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference in the circumferences, in kilometers, of Earth and Earth's Moon? Round your answer to the nearest tenth of a kilometer.

Answers

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius

Given

radius of Earth r1 = 6,371.0 kilometers

the radius of Earth's Moon r2 = 1,737.5 kilometers

The difference in their circumference will be expressed as;

C = 2π(r1-r2)

C = 2π(6371.0-1737.5)

C = 2π(4633.5)

C = 2(3.14(4633.5))

C = 29,098.38km

C = 29,098.4

Hence the difference in their circumference to the nearest km is 29,098.4km

Answer:

We calculate for the circumferences of Earth and moon by using the equation,

C = 2πr

For Earth,

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

i’ll mark brainliest i guess

Answers

Answer:

Step-by-step explanation:

21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08

Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street
level. To the nearest tenth of a foot, how far from the bottom of the building must the
ladder be placed in order to reach the child exactly?

Answers

Answer:

The ladder must be placed at a distance of 33.2 feet from the bottom of the building

Step-by-step explanation:

From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder

The height of the child is 50 feet from ground level

So we need to get the third side of the triangle

We can get this by considering the use of Pythagoras’ theorem

This will give us the length of the third side of the triangle

From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides

Let the unknown side be x

Thus;

60^2 = 50^2 + x^2

x^2 = 60^2 - 50^2

x^2 = (60-50)(60+50)

x^2 = (10)(110)

x^2 = 1100

x = square root of 1100

x = 33.166

To the nearest tenth, this is 33.2 feet

A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles

A. 68.76
B.70.08
C. 93.12
D. 2,808.42

Answers

Answer:

The Answer is A

Step-by-step explanation: What you do is multiply 0.42 by 78 since that is what it costs per mile which is 32.76.

And then you add 36 and you get 68.76

A factory can produce 18,000 toy cars in an 8 hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars? *

Answers

the factory can produce 90,000 toy cars in 5 shifts

Answer

In five shifts, the factory could produce 90,000 toy cars.

Step-by-step explanation:

Multiply 18,000 by 5 to get 90,000 cars.

PLS HELP!!!!!!!!!!!!!

Answers

First, multiply the top equation by 2 and bottom by -3.
60x+60y=900
-60x-75y=-1035
————————
-15y=-135
—————-
-15=-15
y=9

So the answer should be 9.

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It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?PLEASE ANSWER< I WILL GIVE YOU BRAINLIEST There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot? What invention do you think is the most useful and why? PLS HELP DUE AT 10 PM 4. (03.05, 03.06 LC)Read the short story below. Select the best option that describes who is telling the story.I think we should take the magic car, James. It has a giant horn, and it will let every pirate on the ocean knowwe're coming! (5 points)A narrator inside of the storyA narrator outside of the storyCameronJames Is 4 to 7 the same as 7 to 4? Explain why orwhy not? Comment if you have really strict parents, mine are really strict and I wanna see if anyone has stricter parents the me ;-; Does the table show a proportional relationship, if so , what is the value of y when x is 10 Michelle drew a purple line that was 1/2 of an inch long then she drew a green line that was 1/6 of an inch long how much longer what is the purple line than the green line The Triple Alliance and Triple Entente were formed through the signing of 136 = -8(1 + 6v)Help Hodgkiss Mfg., Inc., is currently operating at only 91 percent of fixed asset capacity. Current sales are $715,000. Fixed assets are $520,000 and sales are projected to grow to $790,000. How much in new fixed assets are required to support this growth in sales? This is statistics. Please answer fast What kind of solution does 3x+5=-2 have? Congress has passed laws to regulate all of the following on Native American lands EXCEPT:A.casinos and gamblingB.sale and lease of tribal landC.sales of liquor on tribal landD.marriage between tribe membersPlease select the best answer from the choices providedABCD Help me write this pleases for 70 points How much energy would be needed to raise the temperature of a 5kg block of concrete by 10C? Which of the following is true of the people of Great Zimbabwe? Please help look at the picture (First to answer gets brainiest)What three languages did theRosetta Stone, discovered in AncientEgypt, contain?A. Arabic, Baltic, and EnglishB. hieroglyphic, English and SomaliC. hieroglyphic, demotic and EnglishD. hieroglyphic, demotic and Greek