gragh the linear equation. find three points to solve the equation ,then plot on the gragh . -3x+2y=2

Answers

Answer 1

The attached below is the graph and the three points to solve the equation is (0,1) , (1,5/2) and (-1,-1/2)

According to the question the equation that we have been given is

-3x + 2y = 2

We need to graph the linear equation. For this we will first put different values of x in the above equation and then find the values of y which will be the coordinates of the graph.

First put x = 0

-3(0) + 2y = 2

2y = 2

y = 1

hence the first coordinate is (0,1)

Similarly put, x = 1

-3(1) + 2y = 2

2y = 5

y = 5/2

when x= -1 then y = -1/2

Thus the three point or coordinates are (0,1) , (1,5/2) and (-1,-1/2) and below is the graph.

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Related Questions

Factorise x^2 + 6x - 27

Answers

Answer:(x + 9)(x - 3)

Step-by-step explanation:

⇒x² + 6x - 27

breaking middle term

⇒x² + 9x - 3x - 27

⇒x (x + 9) - 3 (x + 9)

⇒(x + 9)(x - 3) ...answer

hope that helps ...

Express the distance,d, from a point on the graph x+y=2 to the point (6,8) as a function of x

Answers

Answer:

$d=\sqrt[]{2(x^2+36^{})}$

Explanation:

Given the equation of the line as;

$x+y=2$

We can express y in terms of x by subtracting x from both sides of the equation;

$y=-x+2$

Let the point on the line be P(x, y)

We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$$\begin{gathered} d=\sqrt[]{(6-x)^2+(8-y)^2} \\ d=\sqrt[]{(36-12x+x^2)+\lbrack8-(-x+2)\rbrack^2} \\ d=\sqrt[]{(36-12x+x^2)+(6+x)^2} \end{gathered}$$\begin{gathered} d=\sqrt[]{(36-12x+x^2)+(36+12x+x^2)} \\ d=\sqrt[]{72+2x^2} \\ d=\sqrt[]{2(x^2+36^{})} \end{gathered}$

Define a function in Scheme that
returns True if a matrix (list of lists) is symmetric and returns
False otherwise.

Answers

Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

(define (get-element matrix i j)

(if (null? matrix)

(if (= i 0)

(if (null? (car matrix))

(if (= j 0)

(car (car matrix))

(get-element (cdr matrix) i (- j 1))))

(get-element (cdr matrix) (- i 1) j))))

(define (is-matrix-symmetric-helper matrix i j)

(if (null? matrix)

(if (equal? (get-element matrix i j)

(get-element matrix j i))

(is-matrix-symmetric-helper matrix i (+ j 1))

#f)))

(if (null? matrix)

(is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

If the blue pre-image was transformed to create the green image, what transformation occured?

Answers

the correct answer would be c! a rotation 90 degrees counterclockwise

have a great day! :)

help the question is on the image.

Answers

Answer:

$\boxed {tan\theta = \frac{2}{3}}$

Step-by-step explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

⇒ h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

⇒ tan θ = 2/3

Yolanda wanted to see if there was a connection between red hair and green eyes. she observed people walking past her on the street and noted their hair and eye color. red hair green eyes: 18 eye color other than green: 29 hair color other than red green eyes: 114 eye color other than green: 650 consider the relative frequency table. a 4-column table with 3 rows. the first column has no label with entries red hair, other hair color, total. the second column is labeled green eyes with entries blank, x, blank. the third column is labeled other eye color with entries blank, blank, blank. the fourth column is labeled total with entries blank, blank, 100%. to the nearest whole percent, what is the value of x in the table? x = 14% x = 15% x = 16% x = 18%

Answers

Answer:

the answe is X= 14/ A :)

explanation: I took the exam review good luck!

Answer:

It is A

Step-by-step explanation:

edge 2022

Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!

Answers

Answer:

$=12\sqrt{15} -40\sqrt{5}\\$

Step-by-step explanation:

$(2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )$

$=6\sqrt{60} -10\sqrt{80}$

$=6\sqrt{4(15)} -10\sqrt{16(5)}$

$=6(2)\sqrt{15} -10(4)\sqrt{5}$

$=12\sqrt{15} -40\sqrt{5}$

Hope this helps

A high school physics teacher was conducting an experiment with his class on the length of time it will take a marble to roll down a sloped chute. The class ran repeated trials in order to determine the relationship between the length, in centimeters, of the chute and the time, in seconds, for the marble to roll down the chute. A linear relationship was observed and the correlation coefficient was 0.964. After discussing their results, the teacher instructed the students to convert all of the length measurements to meters but leave the time in seconds. What effect will this have on the correlation of the two variables

Answers

Answer:

Step-by-step explanation:

Because changing from centimeters to meters does not affect the value of the correlation, the correlation will remain 0.964.

The effect does have on the correlation of the two variables should be that it remain the same i.e. 0.964.

Impact on the correlation of the two variables:

Since there is the changing from centimeters to meters so this does not impact the correlation value due to which it remain the constant i.e. 0.964.

Also, the correlation coefficient should be unit -less and the value should always ranged between -1 to 1.

Therefore, it remains the constant.

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An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

The domain of the function is required.

The domain of the function is the set of real numbers

$x\in(-\infty,\infty)$

The function is

$f(x)=-16x^2+144$

The y intercept of the function is

$y=-16\times 0+144\\\Rightarrow y=144$

$(0,144)$

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

$0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3$

$(3,0),(-3,0)$

The domain of the function is the set of real numbers

$x\in(-\infty,\infty)$

The graph of the figure is attached.

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An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=16x 2 +144 represents

use your z-score table. what percentage of scores (i.e., of a gaussian distribution) is between -1.96 and 1.96 z-scores? you don't have to put the % sign.

Answers

Approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is because the area under the standard normal distribution curve between these two values is approximately 0.95.

To calculate this, first calculate the area under the standard normal distribution curve between -1.96 and 1.96. This can be done by using a Z-score table, which provides the area under the curve to the left of a given value. To calculate the area between -1.96 and 1.96, subtract the area to the left of -1.96 from the area to the left of 1.96. This is approximately 0.95.

Since the total area under the curve is 1, this implies that approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is commonly known as the "95% Rule," and it is a useful way to quickly estimate the amount of scores that are within a certain range.

It is important to note that this calculation is only an approximation, as the exact value depends on the actual values that are used. Therefore, it is important to use a Z-score table with more accurate values if more precision is needed.

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a rectangular prism has a volume of 4x^3 - 40x^2 + 36x

Answers

Oop yu don’t kno da answerrrrr yu a lil slowwwwwwww 555 wit 10 ?

A pair of shoes was originally priced at $100. The store owner gives a discount, and the shoes are now priced at $60.
Enter the percent discount for the pair of shoes.

Answers

Answer:

The discount is $40

Step-by-step explanation:

To find the discount you'll need to subtract the new price from the old one.

100 - 60 = 40

Answer:

60%

Step-by-step explanation:

60/100 x/100

60 * 100 = 6000

6000/100 = 60

= 60%

∫x216−x2−−−−−−√ dx= 8arcsin(x/4)-4sin(2arcsinx/4) functionsequation editor c (your final answer should be in terms of only x .) note: you can earn partial credit on this problem.

Answers

The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

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Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

Below

Step-by-step explanation:

I already answered this Q here:

https://brainly.com/question/30162460

can i get help please i dont understand this

Answers

Answer:

L = 60°M = 50°N = 30°P = 40°

Step-by-step explanation:

inside angle = 180 = 2x + 2x + 20 + 3x - 10 + 2x - 10

180 - 20 + 10 + 10 = 2x + 2x + 3x + 2x180 = 9xx = 180 / 9x = 20

substitute the value of x = 20 into angle L, M, N, P

L = 2x + 20

L = 2(20) + 20

L = 60°

M = 3x - 10

M = 3(20) - 10

M = 50°

N = 2x - 10

N = 2(20) - 10

N = 30°

P = 2x

P = 2(20)

P = 40°check:

∠L + ∠M + ∠N + P = 180

60° + 50° + 30° + 40° = 180

I’ll mark brainliest plz answer correct.

Answers

Answer:

I love you you are so nice we need more people like you in the world your so nice i mean it really!!!

Step-by-step explanation:

Answer:

Thank you for your kind help.

please help me finish this problem of pythagorean theorem model.

Answers

Answer:A= 13^2= 169

Step-by-step explanation:

Use the pythagorean theorem

SOMEONE PLS HELP I NEED TO DO THISSSS

Answers

16......................

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.

Answers

Answer:

Step-by-step explanation:

Distribute –4 to get –8x + 4 > 5 – 3x.

We can actually deduce here that the correct first step in solving the inequality –4(2x – 1) > 5 – 3x is: A. Distribute –4 to get –8x + 4 > 5 – 3x.

What is inequality?

An inequality refers to the relationship that exist between two expressions that shows that they are not equal to each other. The signs used in an inequality are:

≠ ‘not equal to’, > ‘greater than’, < ‘less than’, etc.

We see here that the first step is to use -4 to multiply the digits in the bracket. If that happens, we will have: –8x + 4 > 5 – 3x.

Then solving the inequality:

-8x + 3x > 5 - 4

-5x > 1

x < -1/5

Thus, we see that option B: Distribute –4 to get –8x + 4 > 5 – 3x. is the correct answer.

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The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

Answers

The length of side x in simplest radical form with a rational denominator is$3\sqrt{4.5}$.

What is an isosceles triangle?

An isosceles triangle is a triangle with any two sides that are the same length and angles on opposite sides that are the same size.

The right triangle is isosceles, which indicates that its two legs are the same length. This length should be called "y".

Using the Pythagorean theorem, we know that:

$y^{2}+y^{2}=9^{2}$

Simplifying this equation:

$2y^{2}=81$

Dividing both sides by 2:

$y^{2}$ = 40.5

Taking the square root of both sides:

y = $\sqrt{40.5}$

We can simplify this expression by factoring out a perfect square:

y = $\sqrt{4.5*9}$

y = $3\sqrt{4.5}$

Since we know that x has the same length as y, the length of x is also:

x = $3\sqrt{4.5}$

Therefore, the length of side x in simplest radical form with a rational denominator is$3\sqrt{4.5}$.

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please help me
133÷3=?

Answers

The answer would be 44.3 at least i think so

Answer:

The answer is Forty Four Point Three recurring (44.3)

What is the length of DF?

Answers

Answer:

Step-by-step explanation:

24 divided by 4=6

so you have to do 20 divided by 4

20 divided by 4 = 5

PLEASE HELP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

I took the quiz :)

Does anyone know where the “i” came from

Answers

Answer:

i is √-1

Step-by-step explanation:

The definition of i is ...

i = √(-1)

The i shows up in the solution of 2x² +1 = 0.

$2x^2=-1\\\\x^2=\dfrac{-1}{2}=\dfrac{-2}{4}\\\\x=\pm\dfrac{\sqrt{-2}}{\sqrt{4}}=\pm\dfrac{\sqrt{(-1)(2)}}{2}=\pm\dfrac{\sqrt{-1}\cdot\sqrt{2}}{2}\\\\\boxed{x=\pm\dfrac{i\sqrt{2}}{2}}\qquad\text{use $i$ for $\sqrt{-1}$}$

A box in the shape of a rectangular prism has a length of 3 inches, a width of 2 inches,
and a height of 4 inches. What is the volume of the box?
33in
675 in 3
24 in.

Answers

Answer:

It's 24 because you multiply all the number's together you get 24.

Step-by-step explanation: Hope this helps you.

Find the area of the right triangle in simplest radical form that has a hypotenuse of 8 ft and a leg of 4 ft. (No decimals)

Answers

In its simplest radical form, the area of the right triangle is 8sqrt(3) square feet.

How is area determined?

The length of the other leg of the right triangle can be determined using the Pythagorean theorem:

$a^2 + b^2 = c^2$

where the hypotenuse is c and the triangle's legs are a and b.

We are aware that the hypotenuse c is 8 feet long and that leg an is 4 feet long. Let's work out the answer for the opposite leg's length, b:

$b^2 = c^2 - a^2\sb^2 = 8^2 - 4^2\sb^2 = 64 - 16\sb$

$sqrt(48) = 4sqrt(3) foot where 2 = 48 b$

Given that we know the lengths of both legs, we can use the following formula to get the triangle's area:

$(1/2) * Base * Height = Area$

We may use the 4 ft leg as the base and the 4sqrt(3) ft leg as the height since one leg is 4 ft and the other is 4sqrt(3) ft:

Area: (1/2) * 4 feet * 4 square feet (3)

= 8sqrt(3) square feet

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A game uses a special deck of cards with 40 cards numbered from 1 to 40. you draw a card from the shuffled deck. a. what is the probability of drawing a card that is divisible by 2? b. what is the probability of drawing a card that is divisible by 5? c. what is the probability of drawing a card that is divisible by 10?

Answers

To find the probability of drawing a card with a specific divisibility, we need to determine the number of favorable outcomes (cards with the desired divisibility) and the total number of possible outcomes (total number of cards in the deck).

a. Probability of drawing a card divisible by 2:

1. Determine the number of cards in the deck that are divisible by 2. In this case, it would be the even numbers from 2 to 40.

2. Count the number of even numbers in the range, which is 20 since every second number is even.

3. Divide the number of favorable outcomes (20) by the total number of possible outcomes (40) to get the probability: 20/40 = 1/2.

b. Probability of drawing a card divisible by 5:

1. Determine the number of cards in the deck that are divisible by 5. In this case, it would be the numbers 5, 10, 15, 20, 25, 30, 35, and 40.

2. Count the number of favorable outcomes, which is 8.

3. Divide the number of favorable outcomes (8) by the total number of possible outcomes (40) to get the probability: 8/40 = 1/5.

c. Probability of drawing a card divisible by 10:

1. Determine the number of cards in the deck that are divisible by 10. In this case, it would be the numbers 10, 20, 30, and 40.

2. Count the number of favorable outcomes, which is 4.

3. Divide the number of favorable outcomes (4) by the total number of possible outcomes (40) to get the probability: 4/40 = 1/10.

In summary, the probability of drawing a card divisible by 2 is 1/2, the probability of drawing a card divisible by 5 is 1/5, and the probability of drawing a card divisible by 10 is 1/10.

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HELP please and thanks you