The equation of line L is 3x − 4y = 24. The line intersects the X − axis at A and the
Y − axis at B. Given that M is the point (4, −3) and O is the origion. Find
. The gradient of line L.

Answers

Answer 1

Answer:

Gradient=¾

Step-by-step explanation:

Write the equation in slope-intercept form y=mx+c

3x-4y=24

-4y=24-3x

y=24/-4-3x/-4

y=-6+¾x

y=¾x-6

The gradient is therefore ¾

The y-intercept of the line occurs at(0,-6)

The x-intercept of the line occurs at(8,0)

Finding the midpoint of the two intercepts

{(x1+x2)/2,(y1+y2)/2}

M={0+8/2,(-6+0/2)}

M={8/2,-6/2}

M=(4,-3)

As you can see, the other information was not required to solve it


Related Questions

An isosceles triangle has two
angles measuring 54.5 and 71.
What is the measure of the
third angle?

Answers

Answer:

x=54.5

Step-by-step explanation:

54.5+71+x=180

125.5+x=180

x=54.5

what is y+4=-6(x+6) witten in standard form?

Answers

Answer:

6x + y = -40

General  Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

[Point Slope]   y + 4 = -6(x + 6)

Step 2: Rewrite

Find standard form

Distribute -6:                         y + 4 = -6x - 36Add 6x on both sides:          6x + y + 4 = -36Subtract 4 on both sides:    6x + y = -40

Help me please help me thanks again help me thanks

Answers

Answer:

45

Step-by-step explanation:

Lol the internet has a calculator for thisssss

A car travels 279 miles in 4 1/2 hours. How many miles would the car travel
in 12 hours? *

Answers

Answer:

744 miles in 12 hours.

Step-by-step explanation:

MATH

Aitor purchased his favorite video game for 44.95 at the mall . the sales tax rte max 7.75% what was the total cost aithor paid including sales tax

Answers

Answer:

48.43

Step-by-step explanation:

The total cost Aitor paid including sales tax will be $48.43.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The Aitor purchased his favorite video game for 44.95 at the mall. The sales tax rate is a max of 7.75%.

Let 'x' be the total cost Aitor paid including sales tax. Then the equation is given as,

7.75 = [(x - 44.95) / 44.95] x 100

0.0775 = (x - 44.95) / 44.95

3.4836 = x - 44.95

x = $48.43

The total cost Aitor paid including sales tax will be $48.43.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

quickly helllllpppp! plz

Answers

Answer:

≈ 8.07 mg

Step-by-step explanation:

Given

f(x) = 12[tex](0.82)^{x}[/tex]

Substitute x = 1 into f(x) , that is

f(2) = 12(0.82)² = 12 ×0.6724 ≈ 8.07 mg

Two-fifths of the senior class earned a grade of B+ or higher on an advanced mathematics exam.
If 42 seniors scored at least a B+, how many students are in the entire senior class?

Answers

2/5 = 42
1/5 = 21
5/5 = 105

105 students in the class

Answer:

105 students in the class

Step-by-step explanation:

When the solution to the equation 5(x+4)=5x-3? A.x=20 c.there is no solution D.there are infinite solutions...
Update: the answer is there is no solution.

Answers

Answer:

The sides are not equal

Therefore, there is NO SOLUTION.

Step-by-step explanation:

Given the expression

[tex]5\left(x+4\right)=5x-3[/tex]

Expanding

[tex]5x+20=5x-3[/tex]

subtract 20 from both sides

[tex]5x+20-20=5x-3-20[/tex]

[tex]5x=5x-23[/tex]

subtract 5x from both sides

[tex]5x-5x=5x-23-5x[/tex]

[tex]0=-23[/tex]

The sides are not equal

Therefore, there is NO SOLUTION.

In a game a player wins if he rolls a 6 on a number cube if the number cube is rolled 18 times then what is an reasonable prediction for the number of unsuccsecful rollls

Answers

Answer:

the reasonable prediction for the number of unsuccessful rollls is 15 ÷ 18

Step-by-step explanation:

The computation of the number of unsuccessful rolls is as follow:

For a number cube, the probability of getting 6 would be 1 ÷ 6 and for not getting is 5 ÷ 6

Now for 18 rolls i.e. there is 3 group of 6 so the chance of not getting would be 15 ÷ 18

Hence, the reasonable prediction for the number of unsuccessful rollls is 15 ÷ 18

The same is to be considered

Write the letter of rate that matches each ratio. I’ll give brainliest if the answer is Right.

Answers

$7.50 : 3 pounds >>> c

$3.75 : 5 pounds >>> a

$6.00 : 4 pounds >>> d

$13.50 : 6 pounds >>> b

i hope this helps! :D


A 24-ounce can of tomato sauce costs $3.60. What is the cost per ounces?

Answers

.15 cents. You do the money divided by the ounces or weight.

factorize 16x^2 - 1\144

Answers

Answer:

(4x+1/12)(4x-1/12)

Step-by-step explanation:

16x²-1/144

(4x)²-(1/12)²

(4x+1/12)(4x-1/12) (since a²-b²=(a+b)(a-b)

The factorized form of expression [tex]16x^2 - \dfrac{1}{144}[/tex] would be, [tex](4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )[/tex]

Used the concept of a quadratic equation that states that,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

And, Use the formula,

(a² - b²) = (a - b) (a + b)

Given that a quadratic equation is,

[tex]16x^2 - \dfrac{1}{144}[/tex]

The above expression is written as,

[tex]16x^2 - \dfrac{1}{144}[/tex]

[tex](4x)^2 - (\dfrac{1}{12})^2[/tex]

Apply the formula (a² - b²) = (a - b) (a + b);

[tex]= (4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )[/tex]

Therefore, the factors are [tex]= (4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )[/tex]

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

If (x + y)^2 = 45 and xy = 10, what is (x - y)^2?

Answers

Answer:

[tex]\binom{x = \sqrt{5}, y = 2\sqrt{5}}{x = -\sqrt{5}, y = -2\sqrt{5}}[/tex]

Step-by-step explanation:

Hope this helped!

4(1.8h-2)8
help me pls:))​

Answers

Answer:

7.2h-2

Step-by-step explanation:

Multiply  

1.8

by  

4

.

7.2

h

2

please answer i need help :)

Answers

im pretty sure it's -2.

Consider the diagram. Triangles A B R and R C A share side R A. Angles B A R and A R C are right angles. Sides B R and A C are congruent. Which congruence theorem can be used to prove △ABR ≅ △RCA? HL SSS ASA SAS

Answers

Answer:

a. HL

Step-by-step explanation:

took the test on edge

The congruence theorem that can be used to prove that△ABR ≅ △RCA is; HL

We are told that; △ABR and △RCA share side RA.

From the diagram attached, we can see that RA is the hypotenuse of both triangles.

From reflexive property, RA is congruent to itself. So we have the hypotenuse of both triangles congruent to each other.

Now, we are told that ∠BAR and ∠ARC are right angles. This means they are equal and congruent to each other.

We are also told that sides BR and AC are congruent. Now, from the image attached, we can see that BR and AC are legs of both triangles.

Thus, the corresponding hypotenuse and corresponding legs of both triangles are congruent.

In conclusion, the congruency theorem that can be used is HL (Hypotenuse Leg) Theorem which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then we can say that both triangles are congruent.

Read more on HL Congruence theorem at; https://brainly.com/question/14053210

Bruce wants to find the volume of a sphere given its radius

Answers

Answer:

sphere

Step-by-step explanation:

V=4

3πr3

1. If f(x) = -2x 2+ 7, then which of the following is the value of f(-2)?
(1) 1
(3) 15
(2) 23
(4) -1

Answers

Answer:4

Step-by-step explanation:

I am a number between 60 and 100 my digit is two more than my tens digit I am a prime number what number am I

Answers

Answer:

97

Step-by-step explanation:

x has to be more than 60 and less than 100

the primes between those are 61,67,71,73,79,83, 89, 97

97 is two less in the ones than in the tens so it completes all of the requirements of the riddles therefore, 97 is the answer.

Answer:

It is 79

Step-by-step explanation:

9-7 is 2

Compute this equation when x =6.

Answers

Answer:

208

Step-by-step explanation:

Substitute x = 6 into the expression

[tex]\frac{6^6-16(6^3)+64}{6^3-8}[/tex]

= [tex]\frac{46656-16(216)+64}{216-8}[/tex]

= [tex]\frac{46656-3456+64}{208}[/tex]

= [tex]\frac{43264}{208}[/tex]

= 208

Evaluate 2 + x − 2 ∙ 8 for x = 9.
1. −5
2. 58
3. 72
4. −68

Answers

Answer:

The answer is -5

Step-by-step explanation:

:D

I need help with thid

Answers

Answer:

10 cm

Step-by-step explanation:

2 x (5+5)
Which of the following describes (5 + 5) in the expression above?

Answers

Answer:

2x times 10 im guessing

Step-by-step explanation:

how do i solve this ????

Answers

Answer:

m1 = 15°

m2= 90°

m3= 66°

Step-by-step explanation:

make a table or values for the equation y=5x+2

Answers

Answer:

Check the image that's annexed to this answer

Step-by-step explanation:

Why was this problem difficult for you?

Match each equation on the left with its simplified version from the choices on the right. Do not solve. (not all the choices will be used.) -2(3x-10)=15 __ A. -6x+2=15 ⅕(30x-10)=15 __ B. 6x-2 = 15 3(2x-10)=15 __ C. 6x+2=15 -⅕(30x-10)=15 __ D. 6x-30 = 15 E. -6x+20=15 F. -6x-20 = 15

Answers

Answer:

E. -6x + 20 = 15

Step-by-step explanation:

Given the expression -2(3x-10)=15, we are to find the equivalent expression;

Open the parenthesis using the distributive law;

-2(3x-10)=15

-2(3x) -2 (-10) = 15

-6x + 20 = 15

Hence the simplified version of the expression is -6x + 20 = 15

5. Of the 3 times Buddy kisses Jovie while they
gre ice skating he missed once. What is this
number written as a fraction?

Answers

Answer:

2/3 times he kissed her 1/3 times he missed

Step-by-step explanation:

Hit or miss hehe

The recipe calls for 5 cups of strawberries for every 3 cups of whipped cream. Write this comparison as a ratio.

Answers

The ratio would be 5:3

Answer:

5:3

Step-by-step explanation:

hope this helps

find x GIVING BRAINLYYY

Answers

Answer:

130

Step-by-step explanation:

130 because the angle is obviously obtuse

50 is acute

130 is obtuse

130 is your answer.

130 because it’s the same angle as the one that also says 130

5. Which of the following could represent the side
lengths of a triangle?
Check all that apply.
19, 11, 17
23, 28, 52
34,9, 25
13, 22, 14

Answers

Answer: 19,11,17 and 13,22,14

Step-by-step explanation:

The two smallest numbers (11, 17) added together must be a bigger number than the biggest number (19)...... 11 + 17 = 28

28> 19 :)

Other Questions
Who gets to watch the Hot Chocolate Nutcracker first? How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million?How did the Egyptians write the work 1 million? How do you say rerse in the Present Progressive form?Cmo se dice rerse en la forma presente progresivo? Enter the equation of the line which passes through the points (0,3) and (2, 1) Help please :( I tried working on this for a while and havent got near anything close to the answer D: How do lipids make ATP? I need help again please help thanks Use the graph of y=K(x) to answer the following question. What is the value of 5K(-3)-7K(-4)? (picture is attached) What is nanobiotechnology LAB: Acids and Bases5. Do you have quantitative data (numerical results or calculations)? Do you have qualitative data (written observations and descriptions)? How can you organize this date for your report? In what ways did the attack on Pearl Harbor influence American foreign policy? WILL MARK YOU BRAINLIEST HELP ASAP WILL MARK BRANLIEST!!! HELPPut the events of the story from class today in the correct order. Pls help thank you!!!!!!! Tickets to a rock concert cost $32.50 each. The school choir bought 54 tickets for the Saturday concert and 33 tickets for the Sunday concert. How much did the choir pay in all for the tickets? Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which of the following is not part of the naturalization help me ASAP it is 4 a grade!!!!! Nancy bought a mobile phone marked at $720 at a discountof 20% and she had to pay 5% tax. If Nancy had to put 20% ofwhat she had to pay including tax as a deposit, how muchmoney did she have to pay for the deposit? Help. plz help.............