What kind of line is y 2x 3?

Answer:

19/24m-1/3

Step-by-step explanation:

Answer:

35/20 and 36/20

Step-by-step explanation:

The required length of the side AC of the given right triangle is 32 units.

A right triangle is a triangle with one right angle or two perpendicular sides.

It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle.

The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.

A triangle is referred to be a right triangle when one of the interior angles is 90 degrees or a right angle.

So, using the hypotenuse AC as the point of convergence for the right triangle ABC,

AB is 8 and AD is 2.

Verify whether the triangle ΔABD resembles ΔACB.

∠ BCA = ∠ DBA (90 - ∠ DBC)

∠ A = ∠ A

As a result, ΔABD and ΔACB share an AAS resemblance.

Utilize the similarity property to determine the length of AC.

AC/AB = AB/AD

x / 8 = 8 / 2

x = 32

Therefore, the required length of the side AC of the given right triangle is 32 units.

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Correct question:

Given a right triangle, ABC with altitude BD drawn to hypotenuse AC. If AB = 8 and AD = 2, what is the length of AC?

Therefore , the solution of the given problem of ratio comes out to be

lim C(p) as p->19 = 152900.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Here,

a) To find the cost of removing 90% of the impurities, we can substitute 90 for p in the equation:

C(p) = 8100p / (100-p)

C(90) = 8100(90) / (100-90)

C(90) = 729000

So the cost of removing 90% of the impurities is Rs. 729000.

b) To find the limit of C(p) as p approaches 19, we can substitute 19 for p in the equation:

lim C(p) as p->19 = 8100(19) / (100-19)

lim C(p) as p->19 = 152900

The value of the limit of C(p) as p approaches 19 means that as the percentage of impurities approaches 19, the cost of purification approaches Rs. 152900.

c) It is not possible to purify completely as the percentage of impurities approaches 100. It's because as the percentage of impurities becomes closer to 100, the denominator of the fraction becomes smaller, thus the value of the cost of purification becomes larger, and it is impossible to pay an infinite amount of money.

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(a) x² + 2xy - y² must be added to x² + xy + y² to get 2x² + 3xy. (b)  5a + b -6 must be subtracted from 2a + 8b + 10 to get -3a + 7b + 16.

a)

Here we are given the expression x² + xy + y²

Now we need to add something so that this expression becomes x² + 3xy

Let the expression to be added be p.

Hence we get

x² + xy + y² + p = 2x² + 3xy

or, p = 2x² + 3xy - (x² + xy + y²)

or, p = 2x² + 3xy - x² - xy - y²

or, p = x² + 2xy - y²

Hence, x² + 2xy - y² must be added.

b)

Here we are given the expression 2a + 8b + 10

We need to subtract another expression to get -3a + 7b + 16

Let the expression be t. Hence we get

2a + 8b + 10 - t = -3a + 7b + 16

or, t = 2a + 8b + 10 - (-3a + 7b + 16)

or, t = 2a + 8b + 10 + 3a - 7b - 16

or, t = 5a + b - 6

Hence 5a + b - 6 must be subtracted,

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Correct Question

(a) What should be added to x² + xy + y² to obtain 2x² + 3xy?

(b) What should be subtracted from 2a + 8b + 10 to get -3a + 7b + 16?

Answer:

18b^6

Step-by-step explanation:

3b⁴ x 6b²

x² + y² + 6x - 6y - 207 = 0 is the equation for the circle whose circumference has endpoints at (12, 3), and (-18, 3).

We are aware that a circle's general equation is (x - h)2 + (y - k)2 = r2, where (h, k) is its center and r is its radius.

Therefore, to bring the constant term to the righthand side of the equation, add 21 to both sides.

So, the midpoints of the diameter are determined by the coordinates of the circle's center since the endpoints of the diameter are (x1, y1) = (12,3) and (x2, y2) = (-18,3).

The midpoints are so:

x = (x₁ + x₂)/2 = (12 + (-18))/2 = (12 - 18)/2 = -6/2 = -3 and

y = (y₁ + y₂)/2 = (3 + 3)/2 = 6/2 = 3.

Consequently, the circle's center's coordinates are (-3, 3)

The circle's diameter:

The circle's radius is [(x1 - h)2 + (y1 - k)2], where:

(x₁, y₁) = coordinates of end of diameter = (12, 3) and

(h, k) = coordinates of center of circle = (-3, 3)

As a result, when we enter the values of the variables into r, we get:

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

r = 15

The formula for the circle:

The formula for a circle with a center (h,k) is: (x - h)² + (y - k)² = r²

By changing the variables' values in the equation, we arrive at:

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

(x + 3)² + (y - 3)² = 15²

x² + 6x + 9 + y² - 6y + 9 = 225

x² + 6x + y² - 6y + 9 + 9 - 225 = 0

x² + y² + 6x - 6y - 207 = 0

Therefore, x² + y² + 6x - 6y - 207 = 0 is the equation for the circle whose circumference has endpoints at (12, 3), and (-18, 3).

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Answer:

5/3

Step-by-step explanation:

4 4/9 * 3/8 = 40/9 * 3/8 = 120/72 = 10/6 = 5/3

Answer:

D

Step-by-step explanation:

It is exponential decay if it was growth then it would say 1+0.12 not 1-0.12

Markup price is 30% more then Cost price.

The selling price includes a VAT (which is a form of tax) and a discount.

A Vat is a form of tax which increases the price of a good and a discount reduces the price.

The marked price is mp = cp(1 + 5%) = 1.50cp

The selling price is sp = mp(1 -10%) = 0.90mp

The gain is profit =sp -cp

= (0.90(1.50cp)) -cp

= cp(0.90·1.50 -1)

= 0.04cp

Mark up = (selling price - cost price) / cost price

(20900 - 16,000) / 16,000 = 0.306 = 30.6 %

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Answer:

[tex] - 4x > - 10 \\ x < 2.5[/tex]

A table of equivalent ratios for the number of treasure chests and hours that Hannah recovered is as follows:

Treasure chests      Hours

8                                  4

12                                 6

10                                 5

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 4/8

Constant of proportionality (k) = 0.5.

When hours y = 6, the number of treasure chests x is given by:

x = y/k

x = 6/0.5

x = 12.

When treasure chests x = 10, the number of hours y is given by:

y = kx

y = 0.5(10)

y = 5.

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Complete Question:

Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours.

Complete the table using equivalent ratios. Select all the answers that will fill the table.

Answer:

b/18

Step-by-step explanation:

Answer:

Hi! Your answer is going to be the one with -1 (x) , 15 (y).

Step-by-step explanation:

This is a quadratic function, not a linear function. Hope this helps!

Answer:

Step-by-step explanation:

Isolate the term of y from one side of the equation.

Add by 9.2 from both sides of an equation.

[tex]\sf{y-9.2+9.2=8.78+9.2}[/tex]

Solve.

Add.

8.78+9.2=17.98

[tex]\large\boxed{y=17.98}[/tex]

Therefore, the correct answer is y=17.98.

Answer:

(2P + G) feet/min

Step-by-step explanation:

Speed of the panda = P

Speed of the giraffe = P + G

Thus,

Speed of Panda + Speed of Giraffe = approaching time

= P + P + G

= 2P + G

Thus, The panda and the giraffe are approaching each other at a rate

of (2P + G) ft/min

Hope it helps :)

Answer:2p+g

Step-by-step explanation:

2+p+g=

2p+g

The measure of  angle B is m ∠B = 107°.

What is similar triangles?

Triangles that are similar in shape but differ in size are known as similar triangles. Examples of related objects include all equilateral triangles and squares with any side length. To put it another way, if two triangles are similar, then their corresponding angles and sides are congruent and equal in size.

Given:   Δ NPZ ~ Δ HBZ

As the triangles NPZ and triangle HBZ are similar that means the corresponding angles are congruent.

⇒ ∠N = ∠H,  ∠P = ∠B,  ∠Z = ∠Z

Since,

∠P = (8x - 37)°,  ∠Z = 42°,  ∠H = (2x - 5)°

⇒ 2x - 5 = ∠H,  ∠B = 8x - 37,  Z = 42°

Since, the sum of three angles of triangle is 180°.

⇒              ∠H + ∠B + ∠Z = 180°

(2x - 5)° + (8x - 37)° + 42° = 180°

                10x - 42° + 42° = 180°

                                  10x = 180°

                                     x = 18°

So,

∠B = (8x - 37)° = 8(18) - 37 = 144 - 37 = 107°.

Hence, the measure of  angle B is m ∠B = 107°.

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Answer: The amount she pays for admission

Step-by-step explanation:

Answer:

The admission cost.

Step-by-step explanation:

It costs $5.25 to play each round.

You don't have to re-enter the park to play the games, but you do have to pay for more rounds.

Answer:

95/10 or 9 5/10 or 9 1/2

Step-by-step explanation:

do the first option since itll b easier to type ig lol

[tex] \huge\mathrm{Answer࿐}[/tex]

diameter of the semi - circle = 10 ft

Measure of curved segment = π r

Perimeter :

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

x = 14

Step-by-step explanation:

Two angles a, b are complentary if a+b = 90.

Therefore, 4x + (2x+6) = 90

6x + 6 = 90

6x = 84

x = 84/6 = 14.

Answer:

x=14°

Step-by-step explanation:

Complementary angles are angles that add to 90°.

4x+2x+6=90

add like terms

6x+6=90

subtract 6 on both sides

6x=84

divide 6 on both sides

x=14

x is 14°.

Answer:

your asking what is 9+x÷2? do you know what x is?

Step-by-step explanation:

I think it would be 4.5+x I'm a little confused. sorry I hope this helped!

Answer:

Find the distance of each segment

Step-by-step explanation:

Use the distance formula :

https://tutors.com/math-tutors/geometry-help/distance-formula#:~:text=The%20Distance%20Formula%20squares%20the%20differences%20between%20the,-%20y%201%29%20is%20the%20change%20in%20y.

add the lengths together

Hope this helps!!

The cost per pound of bananas is $0.85.

To calculate the unit rate or cost per pound, we divide the total cost by the number of pounds.

You purchased 10 pounds of bananas for $8.50.

To find the cost per pound, we divide the total cost by the number of pounds:

Cost per pound = Total cost / Number of pounds

The total cost is $8.50 and the number of pounds is 10. So we can calculate the cost per pound as follows:

Cost per pound = $8.50 / 10 pounds

To perform the division, we divide the numerator ($8.50) by the denominator (10 pounds):

Cost per pound = $0.85

This means that for every pound of bananas you purchase, it will cost you $0.85.

The unit rate allows you to compare the cost of different quantities.

It tells you that if you want to know the cost of a certain number of pounds of bananas, you can multiply that number by $0.85 to find the total cost.

It's important to note that unit rates are helpful for comparing prices and making informed purchasing decisions, especially when dealing with different quantities or sizes of items.

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Radical expression can be defined as the expression containing square root and rational exponent , which is in the form of p/q form.

What is an Algebraic expression ?

Algebraic expression can be defined as combination of variables , constants and exponents.

Radical expression, in which if the expression contains square root than it called as the radical expression.

Examples are  : - [tex]\sqrt{7}[/tex] , [tex]\sqrt{x}[/tex] and etc .

Rational exponent , in which it is in the form of p/q is called as the rational exponent .

Examples are :- 5/8 , 6/9,8/7 and etc .

Hence, Radical expression can be defined as the expression containing square root and rational exponent , which is in the form of p/q form.

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