Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality

Answer:

  (x, y) = (6, 2)

Step-by-step explanation:

You solve for x and y by writing equations that reflect the relation applicable to the given geometry.

The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.

  2x -4 = 4y . . . . . . down diagonal

  x +4 = 7y -4 . . . . . up diagonal

__

We can subtract the first equation from 2 times the second equation to eliminate the x-variable.

  2(x +4) -(2x -4) = 2(7y -4) -(4y)

  2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses

  12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms

  20 = 10y . . . . . . . . . . . . . . . . . . add 8

  2 = y . . . . . . . . . . . . . . . . . . . . divide by 10

Substituting into the second equation gives ...

  x +4 = 7(2) -4

  x = 6 . . . . . . . . . . . . subtract 4

The values of x and y are (x, y) = (6, 2).

_____

The lengths of the diagonals are 20 and 16.

Answer:

Step-by-step explanation:

u notice that the letters are different from each other

Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

Answer:

-3/2 or -1 1/2

Step-by-step explanation:

The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2

Answer:

-3/2

Step-by-step explanation:

slope ('m') formula:  (difference of the y-values) ÷ (difference of the x-values)

m = -2-(-5) ÷ -3-(-1)

m = 3 ÷ -2

slope = -3/2

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution

Answer:

1728

Step-by-step explanation:

27

64

-----------

108

1620

1728

Answer:

1728

Step-by-step explanation:

27•64= 0108+162 =1728

Answer:

Part A would be: 3, $2560 & 4, 2048 I am pretty sure

Step-by-step explanation:

20% of 3,200 = 640

3,200-640= 2,560

then

20% of 2,560 = 512

2,560-512 = 2,048

hope this helps! :)

Part A: The first answer is correct, or (3, $2560) & (4, $2048)

Part B: V = 5,000(0.8)^t

5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.

Hope this helps!

Answer:

the image was not clear....hope the values are correct

Answer is in the attached file.

Answer:

138485.1

Step-by-step explanation:

35% of 213,054 = 74568.9

213,054 - 74568.9 = 138485.1

Answer:

7 square feet

Step-by-step explanation:

There are seven squares, one is 1 square foot

7x1=7

Answer: -8x^2 -2x+13

Step-by-step explanation:

group liked terms

-6x^2-2x^2-2x+5+8

Add numbers 5+8=13

-6^2-2x^2-2x+13

add similiar elements -6x^2-2x^2=-8x^2

-8x^2 -2x+13

[tex](5^6)^0 \\\\=5^0\\\\=1[/tex]

Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700

Answer:

3rd option

Step-by-step explanation:

The angle opposite the shortest side is the smallest

The angle opposite the longest side is the largest

Shortest side is AC with ∠ B opposite , thus smallest

Longest side is AB with ∠ C opposite, thus largest

Then order of angles from least to greatest is

∠ B , ∠ A , ∠ C

Answer:

C

Step-by-step explanation:

Answer:

C. 3, because |-3| = 3

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find the difference:

17 - (-10) = 27

So the distance between 17 and -10 is 27.

Answer: 27

Step-by-step explanation:

Answer:

SEE attched pic

Step-by-step explanation:

Download symbolab

Answer:

so first you add something and then subtract and then divide then you er butf then youcan see toplod ej

Answer:

5

Step-by-step explanation:

3/5 times 7 is 4 1/5 and you cant buy 1/5 of a can so you have to round up to 5

Answer:

They sold 111 Hamburgers

Step-by-step explanation:

Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.

So, X+3X=444 is what you need to solve this. This is the same as 4x=444

So, x=111

Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers

Answer:

2.829

Step-by-step explanation:

ita the closest to 2.83

The most accurate measure is 2.829 cm.

To change a number into an approximation having fewer significant digits.

Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.

a) 2.812 =

Rounding off to the 10th place = 2.81 cm

b) 2.837 =

Rounding off to the 10th place = 2.84 cm

c) 2.805 =

Rounding off to the 10th place = 2.8 cm

d) 2.829 =

Rounding off to the 10th place = 2.83 cm

Hence, the correct answer is 2.829 cm

For more references on rounding off a number, click;

https://brainly.com/question/13391706

#SPJ1

Julian factored the expression of 2x^4 + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

2[tex]x^{4}[/tex] + 2x³ - x²- x

Step 1;

x(2x³ + 2x²- x − 1)

Step 2;

x (2x² (x + 1)) - 1(x − 1)

Step 3;

x²(2x²-1) (x + 1)(x - 1)

Hence, Julian incorrectly factored -1 from the second group of terms.

we can write the correct factored as;

x (2x²- 1))(x + 1)

Therefore, Julian factored the expression of 2[tex]x^{4}[/tex] + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

Answer:

(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]

Step-by-step explanation:

Brainliest Please

Answer: c

Step-by-step explanation:

The binomial theorem says

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n[/tex]

where

[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]

is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:

1

1   1

1   2   1

1   3   3   1

1   4   6   4   1

where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,

[tex]\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}[/tex]

[tex]\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b[/tex]

[tex]\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2[/tex]

Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be

1   1 + 4   4 + 6   6 + 4   4 + 1   1

or

1   5   10   10   5   1

which is to say,

[tex]\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5[/tex]

In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2[/tex]

[tex]\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2[/tex]

[tex]\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}[/tex]