The straight line 3x + 4y = 24 cuts the y - axis at the point A and cuts the x - axis at the point B. What is the distance AB?​

Answers

Answer 1

Step-by-step explanation:

the answer is in the above image

The Straight Line 3x + 4y = 24 Cuts The Y - Axis At The Point A And Cuts The X - Axis At The Point B.
Answer 2

The distance between point A and point B is 10 units.

What is the distance between two points on a plane?

The distance between two points on a coordinate plane (x, y) and (x, y) is

= √[(x₂ - x₁)² + (y₂ - y₁)²] units

The given straight line is 3x + 4y = 24.

This straight line will cut the x-axis at a point where y = 0.

Therefore, 3x + 4(0) = 24

⇒ 3x = 24

⇒ x = 8

Therefore, the coordinates of the point A is (8, 0).

Similarly, this straight line will cut the y-axis at a point where x = 0.

Therefore, 3(0) + 4y = 24

⇒ 4y = 24

⇒ y = 6

Therefore, the coordinates of the point B is (0, 6).

Therefore, the distance between point A and point B is

= √[(0 - 8)² + (6 - 0)²] units

= √(64 + 36) units

= √100 units

= 10 units   (negative sign is avoided.)

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Related Questions

What is the measure of Rsl?

Answers

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Answers

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

Solve the following for y: 4x + 2y = −2 (5 points)


y = −2x + 1


y = 2x + 1


y = −2x − 1


y = 2x − 1

Answers

Answer:

Step-by-step explanation:

4x + 2y = −2

Divide by two on both sides

2x+y = -1

subtract 2x from both sides

y = -1 -2x = -2x -1

Answer:

y = -2x - 1

Step-by-step explanation:

4x + 2y = -2

→ Minus 4x from both sides

2y = -4x - 2

→ Divide both sides by 2

y = -2x - 1


[tex] \frac{12}{20} - \frac{30}{20} [/tex]

Answers

Answer:

-9/10

Step-by-step explanation:

12/20 - 30/20

Since the denominators are the same, we can subtract the numerators

12-30 = -18

Put this over the denominator

-18/20

Simplify by dividing the top and bottom by 2

-9/10

The answer is -9/10. Hope this helps

point e is the midpoint of ca and bd. which statements about the diagram are true?

Answers

Answer:

Step-by-step explanation: i don’t know to be honest

consider the equation of the line y=-2x+4 what is the value of y when x=2​

Answers

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

Use the function below to find F(3).
F(x) = 4•C**
O A.
H im
O B.
O c.
4
27
O D.
81

Answers

Answer:

4-3

Step-by-step explanation:

solve for x

Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27

Correct option is C.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = 4(1/3)ˣ

exponential function is defined for x∈R

Putting x = 3

f(3) = 4(1/3)³

f(3) = 4/27

Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3

Learn more about exponential function here:

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11. What is the perimeter of the garden?

Answers

Answer:

19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]

IF YOU WANT SIMPLIFIED NUMBER DO THIS

[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]

18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]

find the mean of 11,7,2,8​

Answers

mean=7

Answer:

n=4

sum =11+7+2+8=28

MEAN=sum/n=28/4=7

Answer:

The Mean is 7.

Step-by-step explanation:

Mean, or average is when you find a number that is reperesentative of the set as a whole.

To find this we add up all the values and divide it by how many values there are.

11 + 7 + 2 + 8 = 28

28/4 = 7

A:6 and 30
B:8 and 28
C:4 and 16

Answers

Answer:

C?

Step-by-step explanation:

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?

Answers

To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).

plzz help everything is due tonight! 29 pointssss

Answers

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

what is 20/100 in it's simplest form?

ik this i just wanna give someone my points lol

Answers

Answer:

1/5

Step-by-step explanation:

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

Answer :-

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]

In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x​

Answers

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.

Answers

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

A watch that originally cost $110 has been marked down to $88. What is the percent of the markdown?

12%
10%
25%
20%

Answers

Answer:

20%

Step-by-step explanation:

110-88=22

22/110=20

Which is the best description for the graph below?

A graph decreases from (0, 3) to (9, 0).

Answers

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?

17%
19%
36%
70%

Answers

Answer:17

Step-by-step explanation:

Because i know its the right answer and i guessed sorry if its wrong

Answer:

17

Step-by-step explanation:

If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))

Answers

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!

Please help ASAP!!
I'll mark brainliest!

Answers

Answer:

729 x [tex]\frac{1}{3}[/tex]^x

Step-by-step explanation:

the third option

- trial and error

PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.

Answers

Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)

50 POINTS

Find the approximate values of the five-number summary for the data set represented by this box plot.

Answers

Answer:

From the box plot we get:

Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in

Answers

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

All of the following numbers are rational except _____.

Answers

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

Find the length of side XZ in the right triangle shown, Y 37 meters 12 meters ? meters X Z z Tags​

Answers

Vnn GB TV fun rn huh Jit ex

Answer: 35 meters got it right on TTM

PLZZZZ ANSWERrrrrrrrrrrr

Answers

It’s the first answer. p = 6E-0-4m

ZABC and ZQRS are complementary angles. If the measure of ZABC= 41º, what is the measure of ZQRS?​

Answers

Answer:

m∠QRS = 139°

Step-by-step explanation:

yes

The temperature in Anchorage, Alaska one morning was -8 degrees Fahrenheit. It rose slightly, increasing only 10 degrees by lunchtime. By dinnertime, the temperature had fallen 8 degrees. What was the ending temperature?

Answers

Answer:

The ending temperature was -6 degrees Fahrenheit.

Step-by-step explanation:

First, it was -8 degrees

Then, it was -8+10=2 degrees

Lastly, it was 2-8=-6 degrees

i need help please. and explanation will help for tomorrow in a test:)

Answers

Answer : x^7

When you’re multiplying variables like the one in the problem above, instead of actually multiplying, you add. You only multiply in cases where there are coefficients.

Example : z^4 * z^2

Instead of multiplying, you would add the exponents together like so, z^6.

please help guys its urgent

Answers

upen saves the most of his salary every month

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

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