20 Points and Brainliest for the person who will get it correct which table represents the equation y=9x

Base on the similarity principle of triangles, the distance d across the lake as shown is 90 ft.

Two triangles are similar if they are only difference in size but have the same shape.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, let's create a proportion from the triangles since they are similar.

40 / d = 20 / 45

cross multiply

45 × 40 = 20d

1800 = 20d

divide both sides by 20

1800 / 20 = 20d / 20

d = 90 ft

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Answer:

16 signatures

Step-by-step explanation:

48/3 = 16

16 x 2 = 32

One-third of 48 is 16. So if Felix collected one-third and Andrea collected two-thirds, then Felix had 16 signatures and Andrea had 32 signatures.

Answer:

16

Step-by-step explanation:

48/3 = 16

16 x 2 = 32

1/3 of 48 is 16. if Felix collected 1/3 and Andrea collected 2/3, then Felix got 16 signatures

Answer:

the third one is the correct answer

Answer:

the first gets =90birr

the second gets =120birr

the third gets =150birr

90+120+150=360birr

I hope you got your answer.

Answer:

D

Step-by-step explanation:

4x5+4×12+12×6×2=212

Answer:

<3 ~= <5 - Alternate Interior Angles Theorem

<3 ~= <7 - Corresponding Angles Theorem

<5 ~= <7 - Vertical Angles Theorem

line I || line m - Transitive Property

Answer:

I think the answer may be option C

The polynomial that is prime is given by Option C: [tex]10x^2 - 4x +3x +6[/tex]

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Rewriting it as:

[tex]x^3+3x^2+2x+6 = x^2(x+3) + 2(x+3) = (x^2 + 2)(x+3)[/tex]

shows that this polynomial has factors. Thus, it isn't prime polynomial

Rewriting it as:

[tex]x^3 + 3x^2 -2x -6 = x^2(x+3) -2(x+3) = (x^2-2)(x+3)[/tex]

shows that this polynomial has factors. Thus, it isn't prime polynomial

We can rewrite it as:

[tex]10x^2 -4x + 3x -6 = 10x^2 -x -6 = f(x) \: \rm (say)[/tex]

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4: [tex]10x^2 -10x + 6x - 6[/tex]

It can be factored as:

[tex]10x(x-1) + 6(x-1) = (x-1)(10x-6)[/tex]

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C: [tex]10x^2 - 4x +3x +6[/tex]

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Answer:

The polynomial that is prime is given by Option C:

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Case 1:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 2:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 3:

We can rewrite it as:

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4:

It can be factored as:

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C:

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Step-by-step explanation:

Answer:3

Step-by-step explanation:

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We need to find the value of g(3).

From the question, we have

g(x)= x-1,  -2≤x<-1

g(x)= 2x+3, -1≤x<3

g(x)= 6-x,     x≥3

The value 3 is in the function g(x)=6-x

When x is 3

g(3)=6-3

Subtract 3 from 6.

g(3)=3

Therefore value of function g(3) is 3.

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Answer: Suppose y varies directly with x. Write a direct variation equation that relates x and y.

Step-by-step explanation:

Answer is y = -5x

The equation for y varies directly with x is, y = - 5x.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, y varies directly with x.

Therefore,

y ∝ x.

y = kx, where k is the proportionality constant.

At y = - 10 when x = 2.

- 10 = 2k.

k = - 5.

So, y = - 5x.

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Answer:

18.75

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow 18\dfrac{3}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{75}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{75(25)}{100}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1875}{100}[/tex]

[tex]\\ \rm\Rrightarrow 18.75[/tex]

Answer:

B is the answer in the first quadrant x is positive

Answer:

0

Step-by-step explanation:

The points on a number line are called coordinates. The zero point is called the origin. The numbers to the right of the origin are positive numbers; the numbers to the left of the origin are negative numbers.

Answer:

0

Step-by-step explanation:

Answer:

x*x=64

x= 8

Step-by-step explanation:

this means that the area is 64 in more than 2

Answer:

a number line or something like this

Answer:??????

Step-by-step explanation:

Answer:

d (3,11)

Step-by-step explanation:

Answer:

x is 10 and y is 20

Step-by-step explanation:

Answer:

-x^3 + x^2 - 2x - 4

Step-by-step explanation:

You have to subtract

Let o = the polynomial

So you know 2x^3 - x^2 + 4x + 5 - o = x^3 + 2x - 9

Now you do 2x^3 - x^3 = x^3

then you -x^2 + answer = 0

you need to cancel it out

to cancel, you found out that it is x^2

Now you need to make from 4x to 2x.

To do that, you do 4x - 2x and you get 2x

Lastly you need to change -5 to 9. To do that you add -4.

Now since it is subtraction you have to distribute

2x^3 - x^2 + 4x - 5 -(x^3 - x^2 + 2x + 4)

= 2x^3 - x^2 + 4x + 5 - x^3 + x^2 -2x -4

= x^3 -2x + 9

A city starts with a population of 500,000 people in 2007. Its population declines according to the equation

P(t) = 500,000e -0.099t

where P is the population in t years later. Approximately when will the population be half the initial amount?

Answer:

2014

Step-by-step explanation:

Given the exponential growth function :

P(t) = 500,000e^-0.099t

Where P is population in t years later

When the population will 1/2 the initial amount

1/2 the initial amount = 1/2 * 500,000 = 250,000

P(t) = 250,000

250,000 = 500000e^-0.099t

250,000/500000 = e^-0.099t

In(0.5) = - 0.099t

t = −0.69314 / - 0.099

t = 7.0014

t = 7

Year which population = 500,000 = 2007

Hence, half the population will be attained on (2007 + 7) = 2014

After 7 years population of the city will be half of the initial amount.

Population function:

[tex]P(t) = 500000 e^{-0.099t}[/tex]

Initial population means population at t=0

P(0) = 500000

Half of initial population = 250000

So, we need to calculate the time t when the population will be half of the initial amount.

[tex]250000= 500000 e^{-0.099t}\\\\e^{-0.099t} = \frac{1}{2}[/tex]

Taking log both sides

-0.099t (log e)= log (1/2)

The logarithm of e is 1 when considering the base of the log as e.

So, -0.099 t= -0.693

t=7

Therefore, After 7 years population of the city will be half of the initial amount.

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Answer:

1 yard = 3 feet

3 × 4 = 12 feet of fabric

12 - 4 = 8

8 - 6 = 2

they will have 2 feet of fabric left over

Answer:

Step-by-step explanation:

In this problem, we are expected to solve for the total area covered by water,   by addition of scientific notation

Given data

Area covered by salt water=  352,000,000 km2

Area covered by fresh water= 9 × 10^6 km2=9,000,000

Earth's surface is covered by water= 352,000,000 +9,000,000

Earth's surface is covered by water= 361000000

In scientific notation it is 3.61x10^8km^2

Answer: 17 pages

Step-by-step explanation:

One eighth of 136:

136 divided by 8 = 17

Answer:

17 pages

Step-by-step explanation:

1/8 x 136 = 17

Answer:

A,B,E

Step-by-step explanation:

Answer:

1. B

2. E

3. D

4. B

5. C

6. B

7. E

8. D

9. D

10.D

11. E

Answer:

C

Step-by-step explanation:

You divide first than you get ur fraction