Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c

Answer:

x= -28

Step-by-step explanation:

Multiply both sides as in -7 and 4

x

-7= --- ---> -7 x 4= -28 = x

4

-28 = x. (Swap Sides) X= -28

Answer:

i know the answer

x= -28

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

Learn more about ratios at https://brainly.com/question/2328454.

#SPJ1

answer:

$0.02

-- let me know if you have any questions regarding this.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

Learn more about segments at:

https://brainly.com/question/17374569

#SPJ1

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Read more about tangent lines at

https://brainly.com/question/21595470

#SPJ1

Answer:

The median is:

\(49\)

The mode is:

\(54\)

Answer: 300,408

If you add 300000+400+8 yout get 300408

It have get \(24\) customer of them to sign up for the new service feature.

Given:

  Sign up percentage is \(25\) %.

    \(96\) customer.

To find the solution by,

Multiply customer and sign up

   \(=96*25\)%

   \(=96*\frac{25}{100} \\\\=2400/100\\\\=24\)

Thus, it have get \(24\) customer of them to sign up for the new service feature.

For information,

https://brainly.com/question/18286302

Answer:

34+24.5h

Step-by-step explanation:

The total garden area obtained by adding the new area of the garden is obtained as 36  sq. ft.

Your polygon's four sides must be two congruent pairings in order to have two pairs with parallel sides.

The length of the left and right sides, as well as the base and top, will be equal. A four-sided polygon with two sets of parallel, congruent sides with four internal angles of 90° each is required to be a rectangle.

Given data:

current area of garden = 24 square feet.

Coordinates of other garden:

(−17, 15), (−20, 15), (−17, 11), and (−20, 11)

Length of new garden = -20 + 17 = 3 ft.

Width of new garden = 15 - 11 = 4 ft.

Area of new garden = length * width

Area of new garden = 3ft * 4 ft

Area of new garden = 12 sq. ft.

total area of the garden = current area +  new garden area

total area of the garden = 24 sq. ft. + 12 sq. ft.

total area of the garden = 36  sq. ft.

Thus, the total area of the garden obtained by adding the new area of the garden is obtained as 36  sq. ft.

Know more about the rectangular shape

https://brainly.com/question/17065463

#SPJ1

The distance between the two points is approximately 5.66 units

Using the formula for the distance between two points on a coordinate plane:

Distance = √[(y2 - y1)^2 + (x2 - x1)^2]

We can plug in the given values into the distance formula:

given that

y2 = 9, y1 = 13, x2 = 4, and x1 = 0

= √[(9 - 13)^2 + (4 - 0)^2]

= √[(-4)^2 + (4)^2]

= √(16 + 16)

= √32

= 4√2

= 5.6569

= 5.66

Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.

Learn more about coordinate plane at:

https://brainly.com/question/29765572

#SPJ1

The function v(x) = 1 - 5/x is not a polynomial function

A polynomial function is a function of the form f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀ where a, a aₙ₋₁, ..., a₁, a₀ are real numbers and n is a non-negative integer. The degree of a polynomial function is the highest power of x in the polynomial.

In the case of v(x) = 1 - 5/x, we can see that the function contains an x in the denominator, which makes it a non-polynomial function. The degree of the function is not a non-negative integer. The degree of the function is -1, which is not a non-negative integer.

Therefore, the function v(x) = 1 - 5/x is not a polynomial function.

Learn more about polynomial function on:

brainly.com/question/7693326

#SPJ1

Answer:84.5

Step-by-step explanation:

Answer:

84.5

Step-by-step explanation:

1. Put the numbers in numerical order.

2. Cross out the numbers on the far left and right until you get to 84 and 85.

3. Add the two numbers and divide by 2.

When the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.

Prices = 1,650,000

Exchange rates = ¥197/£

Change in exchange rate = ¥190/£

So, here Original price of the Toyota tundra is

                                   = 1,650,000 ÷ 197

                                    = 8375.63

New import price is = 1,650,000 ÷ 190

                              = 8,684.21

Percentage change in the price of the imported trucks should be

= ( New price - Old price) / old price *100                                                                                                                             = (8,684.21 - 8375.63) ÷ 8375.63                                                                                                                   = 3.68%

Hence , when the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.

(This is the percentage change in the Japanese yen as the price of the truck remains unchanged).

Learn more about price here:

https://brainly.com/question/1153322

#SPJ10

Answer:

They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pour trouver la forme standard de l'équation d'une ellipse à partir des extrémités des grands axes et des petits axes, nous pouvons utiliser les formules suivantes:

Le centre de l'ellipse est le point (h, k), où h est la moyenne des coordonnées x des extrémités des grands axes et k est la moyenne des coordonnées y des extrémités des petits axes. Donc,

h = (2 + 8) / 2 = 5

k = (3 + 1) / 2 = 2

Donc, le centre de l'ellipse est (5, 2).

La distance a est la moitié de la longueur du grand axe, donc

a = (8 - 2) / 2 = 3

La distance b est la moitié de la longueur du petit axe, donc

b = (3 - 1) / 2 = 1

Maintenant, nous pouvons utiliser ces valeurs pour écrire l'équation de l'ellipse en forme standard:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

En substituant les valeurs trouvées précédemment, nous avons:

(x - 5)^2 / 3^2 + (y - 2)^2 / 1^2 = 1

Ce qui est la forme standard de l'équation de l'ellipse.

Answer:

182

Step-by-step explanation:

Add 178 + 209 + 159 = 546

Then divide 546 by 3 = 182

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

Answer:

The volume of the right square pyramid is 320 in³.

Step-by-step explanation:

Answer:

The formula for the volume of a pyramid is V=

3

1

​

Bh, where B is the area of the base and h is the height of the pyramid.

The base of the pyramid is a square with sides of length 10 yards, so the area of the base is 10

2

=100 square yards. The height of the pyramid is 8 yards, so the volume of the pyramid is

V=

3

1

​

(100)(8)=

266.66 cubic yards

​

.

Step-by-step explanation:

Given that:

Length of a rope = 224 cm

Rope is cut so that one part is 3/4 of the other.

Solution:

Let one part of a rope be x cm.

So other part of the rope is \(\dfrac{3}{4}x\).

Total length \(=x+\dfrac{3}{4}x\)

Now,

\(x+\dfrac{3}{4}x=224\)

\(\dfrac{4x+3x}{4}=224\)

Multiply both sides by 4.

\(7x=896\)

Divide both sides by 7.

\(x=\dfrac{896}{7}\)

\(x=128\)

The value of one part 128 cm.

Second part \(=\dfrac{3}{4}x\)

\(=\dfrac{3}{4}\times 128\)

\(=3\times 32\)

\(=96\)

Therefore, the length of shorter rope is 96 cm and the length of longer rope is 128 cm.

Answer:

the square root of 24 is 4.89897948557

Answer:

4.89

Step-by-step explanation:

2root 6........***

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

To solve more questions related to the Area

https://brainly.com/question/16519513

https://brainly.com/question/76387

A conditional statement to demonstrate the situation presented would be: If a person can vote -> Then they are over 18 years old. An alternative to this would be: If a person is 18 years or older -> Then they can vote in the United States elections.

A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:

According to the above, two conditional statements about voting in the United States would be:

Learn more about conditional statement in: https://brainly.com/question/18152035

#SPJ1

Answer: the answer is f

Step-by-step explanation:

Answer:

answer is f

Step-by-step explanation:

0.306 is  the z-score. Round to two decimal places. Include any leading zeros.

What does "z-score" mean?

The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.

                           Essentially, standard deviation is a measure of the degree of variability within a given data collection.

Let X the random variable that represent the rating score of a population, and for this case we know the distribution for X is given by

     X  `N(667,65 )

Where μ = 667 and σ = 65

We are interested on this probability

P(X > 700 )

And the best way to solve this problem is using the normal standard distribution and the z score given by

    Z= X - μ/σ

If we apply this formula to our probability we got this

  P(X > 700 )

 = P(X - μ/σ > 700 -μ/σ)

 = P(Z > 700 - 667/65 )

= P(Z > 0.508 )

And we can find this probability using the complement rule and excel or a calculator and we got

  P( z > 0.508 ) = 1 - P(Z - 0.508 ) = 1 - 0.694  = 0.306

Learn more about  Z-score

brainly.com/question/15016913

#SPJ1

We want to find the number of students that are not good in any of the courses.

There are 80 students.

45 are good in mathematics

15 are good in both, mathematics and in English

13 are good in both, mathematics and psychology

16 are good in both English and psychology

20 are good in psychology

9 are good in all of the courses.

First, we know that we have:

45 good in math + 20 good in psychology = 65 students good in something.

But we know that:

13 are good in both, mathematics and psychology

This means that there are 13 students that are being counted twice, so we need to subtract 13.

45 + 20 - 13  = 52 students good in something.

Now we know that:

15 are good in both, mathematics and in English

16 are good in both English and psychology

9 are good in all of the courses.

So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.

And we can't see the number of students that are only good with English, so we can conclude that

52 students are good in something.

then 28 students are not good at any of the 3 courses.

If you want to learn more, you can read:

https://brainly.com/question/24350406

The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

What is a Pythagorean identity?

The Pythagorean identity for sine and cosine states that for any angle θ,

sin²θ + cos²θ = 1

We can use the given values of sine and cosine to find the missing trigonometric function:

tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15

Now, we can use the Pythagorean identity to determine which of the given statements is true:

1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²

1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²

(8/17)² + (15/17)² = 64/289 + 225/289 = 1

Therefore, the statement that can be proven using the Pythagorean identity is:

(8/17)² + (15/17)² = 1

Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

To learn more about the Pythagorean identity, visit:

https://brainly.com/question/24287773

#SPJ1