(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.

Answer:

  x = 25, y = 19

Step-by-step explanation:

The external angle is supplementary to the adjacent internal angle.

  2x +130 = 180

  2x = 50 . . . . . . . subtract 130

  x = 25 . . . . . . . divide by 2

__

The external angle is equal to the sum of the remote internal angles.

  130 = 54 +4y

  76 = 4y . . . . . . . subtract 54

  19 = y . . . . . . . divide by 4

The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.

From the information given;

3x + y = -2      ----- (1)

y = 2x +3        ----- (2)

By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:

3x + (2x + 3) = -2

3x + 2x + 3 = -2

5x + 3 = -2

5x = -2 - 3

5x = - 5

x = -5/5

x = -1

From equation (2), let's replace the value of x = - 1 into equation (2);

y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

Learn more about substitution method here:

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Answer:

  80

Step-by-step explanation:

If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.

Triangle OKN will be similar to triangle BKA, so ...

  AN : AK = BO : BK = 1 : 3

Then ...

  AN : AK : KC = 1 : 3 : 3

In terms of ratio units, ...

  AN = 1

  AC = 3+3 = 6

  NC = 6-1 = 5

This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.

  perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96

  perimeter(NMC) = 80

Answer:

Step-by-step explanation:

(x + 2y²)(2x - 2y²)

FOIL

First

x(2x) = 2x²

Outside

x(-2y²) = - 2xy²

Inside

2y²(2x) = 4xy²

Last

2y²(-2y²) = - 4y⁴

combine like terms

2x² + 2xy² - 4y⁴

Answer:

-4y^4 + 2xy^2 + 2x^2

Step-by-step explanation:

(x + 2y^2) (2x - 2y^2)

x(2x) + x(-2y^2) = 2x^2 - 2xy^2

2y^2(2x) + 2y^2(2y^2) = 2xy^2 + 4y^4

2x^2 - 2xy^2 + 4xy^2 - 4y^4

2x^2 + 2xy^2 - 4y^2

or

-4y^4 + 2xy^2 + 2x^2

Answer:

Step-by-step explanation:Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

Answer:

4x+14 = 2(2x+7}

12x+6=6{2x+1}

Answer:

x =1 if understood it correctly

Step-by-step explanation:

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

[tex]\huge \bf༆ Answer ༄[/tex]

As we know, sum of interior angles of a triangle is 180°

that is ~

Hence, value of x is 9°

Answer:

Step-by-step explanation:

Sum of interior angles is 180:

Answer:

The answer would be 4

Step-by-step explanation:

Calculate it

Answer:

4 is the answer.

Step-by-step explanation:

-6 - 10k

=> -6 - 10(-1)

=> -6 + 10

=> 4

Therefore, 4 is the answer.

Hoped this helped.

Answer:

-43

Step-by-step explanation:

By staring at it for a while you can tell that you're losing 5 every step. You can write the succession as [tex]a_n = 32-5n[/tex] (please notice the first terms starts when [tex]n=0[/tex], not 1!). The 16th term happens at [tex]n=15[/tex]:

[tex]a_1_5=32-5(15) = -43[/tex]

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

Answer:

-1

Step-by-step explanation:

-3u + 5 =?

when u=2

= -3(2) + 5

= -6 + 5

= -1

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

Answer:

any number between the two

for example: 0.1309, 0.1308, 0.1301, etc.

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

0.1308, 0.1309, 0.1301

It's the first one

I hope this help :)

Answer:

B. I and II

Function :

A special relationship where each input has a single output.

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v[tex]i[/tex] t + [tex]\frac{1}{2}[/tex] a[tex]t^{2}[/tex]

d = distance      v[tex]i[/tex] = initial velocity (m/s)    

t = time (s)     a = acceleration (m/[tex]s^{2}[/tex])

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/[tex]s^{2}[/tex] since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + [tex]\frac{1}{2}[/tex] (9.81m/[tex]s^{2}[/tex])(t)

220.98m = (4.905m/[tex]s^{2}[/tex])(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

Answer:

A3

Step-by-step explanatio

[tex]\huge\boxed{Hi\: there!}[/tex]

[tex]\huge\mathfrak{Question:}[/tex]

Is 7,301,771 divisible by 6?

[tex]\huge\mathfrak{Answer:}[/tex]

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

[tex]\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}[/tex]

[tex]\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}[/tex]

Answer:

x = 2 y = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I think it is 8

Step-by-step explanation:

sorry If I'm wrong

Answer:

No question!

Step-by-step explanation:

Hi! Could you please insert a question so I could answer for you?

I would love to help!

Answer:

24m + 3 or (24 × m) + 3

Step-by-step explanation:

product = multiplying

matts height = variable

more than = addition

add together and that's your algebraic expression hope this helps :)

Answer:

53

Step-by-step explanation:

We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.

Answer:

A

Step-by-step explanation:

Commission: 22264*0.12=2671.68

Total pay: 14250+2671.68=16921.68

The total pay of Sara after adding the commission is: Option A:  AED 16921.68

Sara's total pay consists of her basic salary plus the commission on her sales.

Basic salary = AED 14250

Commission on sales = 12% of AED 22264

Commission = 0.12 * 22264

Now, calculate the commission:

Commission = 0.12 * 22264 = AED 2671.68

Total pay = Basic salary + Commission

Total pay = 14250 + 2671.68 = AED 16921.68

So, Sara's total pay is AED 16921.68

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#SPJ3

Answer:

7x-8

  3

Step-by-step explanation:

Answer:

2 1/3x - 2 2/3

Step-by-step explanation:

1/3 x 5

1/3 x -8

and add 2/3x to the mix

so

1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3

Answers: Choice B and Choice D.

[tex]\angle ABE \cong \angle CDE[/tex]  and [tex]\overline{AE} \cong \overline{CE}[/tex]

=====================================================

Explanation:

The tickmarks tell us which segments are congruent to one another. The segments with single tickmarks show that AE and CE are the same length. So this is why [tex]\overline{AE} \cong \overline{CE}[/tex]

---------------

The two triangles AEB and CED can be proven congruent through the use of the SAS theorem. From there, use CPCTC to conclude that the corresponding angles ABE and CDE are the same measure i.e. [tex]\angle ABE \cong \angle CDE[/tex]. They are alternate interior angles which helps lead to side AB being parallel to CD.

Answer:

B & D  or <ABE=<CDE, AE=CE

Step-by-step explanation:

I got it right on khan

Answer:

B

Step-by-step explanation:

Given equation is 4x+3y = 12

(3,0) is a solution because

LHS =

⇛ 4(3)+3(0)

⇛ 12+0

⇛ 12

⇛ RHS

LHS = RHS

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