2.
Use substitution to find "y-2x + 5y = 5x - 16

Part A

Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]

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Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]

This points to choice D as the final answer.

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Part B

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Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

Answer:

Step-by-step explanation:

If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:

5 bottles of water ... 7 practices

x bottles of water = ? ... 1 practice

5 * 1 = 7 * x

5 = 7 * x /7

x = 5/7 bottle of water

The correct result would be 5/7 bottle of water.

9514 1404 393

Answer:

  a) -13

  b) -22

Step-by-step explanation:

It can be convenient to compute the function values first:

  f(1) = 1² -14·1 = -13

  g(1) = 1 +8 = 9

Then the compositions are ...

(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4

(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22

Answer:

I believe its B False

Answer:

A

Step-by-step explanation:

The answer is 60.61 when you divide 5576/92

Answer:

1. x=15

2. x=128

3. x=47

4. x=21

Answer:

The answer is

If all of the land had 100 acres than Joe would want to sell 28 of an acre.

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Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

Answer:

Step-by-step explanation:

The unknown angle.

Start by finding the third angle. Call it x.

x + 125 + 32 = 180

x + 157 = 180

x = 180 - 157

x = 23

Now you are set to use the law of sines.

Call ? = x

x/sin(32) = 7/sin(23)       Multiply both sides by Sin(32)

x = 7*sin(32)/sin(23)

x = 7*(0.5299) / sin(23)

x = 3.7094/ sin(23)

x = 3.7094 / 0.3097

x = 9.4935

Rounded to the nearest 10th

x = 9.5

Answer:

(Down there)

Step-by-step explanation:

ok so, heres what to put in the empty boxes for the dog food:cost

40 : $44

60 : $66

80 : $88

70 : $77

And heres what to put for the 2nd boxes

16 : $20

24 : $30

32 : $40

40 : $50

Answer:

9/16

Step-by-step explanation:

Let the original fraction be

x/y

Then

x+3/y=3/4

and

x/y-7=1

Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides

x=y-7  

Substitute this into 1st fraction:

x-7+3/y=3/4  

Now we can solve this for y:  cross-multiply --> (Note: y-7+3 = y-4)

4(y-4)=3y

y=16

Sub this back into "x = y-7" to get x

x=16-7=9

Therefore the original fraction is:

9/16

Answer:

C) Cubic Trinomial

Step-by-step explanation:

First, we combine like terms to simplify the polynomial. Like terms means having the same variable and exponent.

We get this expression: b^3+4b^2+25

There are 3 terms in this polynomial. Thus, it classifies as a trinomial. And its highest degree is 3, so it’s a cubic trinomial

Answer:

Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)

Answer:

Correct

Step-by-step explanation:

Just divide both the numerator and the denominator by their common factors.

First of all factor both of the numbers.

405=5*3^4

450=5^2*3^2*2

Now line it up.

5*3*3*3*3

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5*5*3*3*2

Now we can cancel out some numbers and get

3*3

-----

5*5

Now we actually multiplies them again and get.

9/10

This is the process of how to get it hope it helped!

Answer:

k<-2

Step-by-step explanation:

hope this helps :)

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Answer:

  20 more deliveries

Step-by-step explanation:

The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...

  $12/($0.60/pkg) = 20 pkgs

more each day.

Answer:

Answer:

Triangle: 77

Parallelogram: 198

Total: 275

Step-by-step explanation:

The area of a triangle is one half the base times the height.

[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]

The area of a parallelogram is base times height.

[tex]A_{P}=bh=(22)(9)=198[/tex]

The total area is the sum.

77+198=275

Answer: The answer is 464

Step-by-step explanation:

Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok

_ Mhart7109

Answer:

using

h²=p²+b²

3is your answer

a²=5²-4²

a=√9=3

Answer:

x = 3

Step-by-step explanation:

6x - 5 + 7x = 34

Find x

______________

To solve this, we need to isolate x :

First add like terms :

6x + 7x

13x

13x - 5 = 34

Add 5 to both sides :

13x = 39

Divide 13 from both sides to get x alone :

x = 3

Answer:

x=3

Step-by-step explanation:

Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3

Answer:

900 miles

Step-by-step explanation:

In 7 days she travels 525 miles.

So, in 1 day she travels: 525 ÷ 7 = 75miles

In 12 days she will have driven : 75 × 12 = 900 miles

Step-by-step explanation:

of at 7days Jill drove 525 miles

then she would drive x Miles in 12 days

7d = 525 miles

12 d = (12 ×525)/7

900 miles

Answer:

f(-2)=(-11)

Step-by-step explanation:

f(-2)=5(-5)+14

=(-25)+14

=(-11)

Answer:

[tex]A= 5n-45[/tex]

Step-by-step explanation:

Can u gimme brain plz!

Answer: 1300 i think

Step-by-step explanation:

Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.

Answer:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Step-by-step explanation:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Answer:

9 is the answer because it is the answerr

Answer:

40 is surface the answer of I think about it but I will solve the sum and will give the ans

Answer:

The answer is (2) 4

Step-by-step explanation:

Give brainliest

The correct pairs which represent the pair of ratios will make a proportion are,

(A) 2/3 and 4/9

(B) 5/15 and 4/12

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The pairs of ratio are,

(A) 2/3 and 4/9

(B) 5/15 and 4/12

(C) 4/12 and 6/24

Now,

From option A;

⇒ 2/3 and 4/9

⇒ 4/ 9 = 2/3

Hence, It make a proportion.

(B) 5/15 and 4/12

5 / 15 = 1 / 3

4 /12 = 1 / 3

Hence, It make a proportion.

(C) 4/12 and 6/24

4/12 = 1/3

6/24 = 1/4

Hence, It don't make a proportion.

Thus, The correct pairs which represent the pair of ratios will make a proportion are,

(A) 2/3 and 4/9

(B) 5/15 and 4/12

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ7

Which pair of ratios forms a proportion?

(A) 2/3 and 4/9

(B) 5/15 and 4/12

(C) 4/12 and 6/24

Answer:

c

Step-by-step explanation:

C is split into thirds which would be 33.333.... B and D are 333.3% and 330% shaded because 1 fully shaded model is 100%.