The coordinates of the vertices of quadrilateral ABCD are A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1).



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The slope of AB is ⎯⎯⎯⎯⎯ , the slope of BC is ⎯⎯⎯⎯⎯ , the slope of CD is ⎯⎯⎯⎯⎯⎯ , and the slope of AD is⎯⎯⎯⎯⎯ . Quadrilateral ABCD is ————- because —————

Answer:

Step-by-step explanation:

Answer:

5ab^2-6a^2b+a^3-2b+2a

Step-by-step explanation:

The simplified expression of  expression  (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b

An expression is combination of variables, numbers and operators.

To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:

(a + b)(c + d) = ac + ad + bc + bd

Using this property, we can multiply the two binomials as follows:

(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)

Now we can distribute the terms of each binomial:

= a³ – 5a²b + 2a – a²b + 5ab² – 2b

Simplifying the terms, we can combine like terms:

= a³ – 6a²b + 5ab² + 2a – 2b

Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b

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[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]

Value of x (substitute 0 in the place of x).

[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]

Answer:

the place value changes by dividing by 10 or multiplying by 10. take one and go right on the number line you get 10. go left from 1 and you get 0.1

If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%

The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:

15 - 9 = 6 dollars

Therefore,

percentage reduction = 6 / 15 ×100

percentage reduction= 600 / 15

percentage reduction = 40%

Therefore, the percentage reduction in price is 40%.

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Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141

Answer:

The answer is 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Answer:

speed = distance÷time 48.7÷1.2 = 40.58

Answer: 30

Step-by-step explanation:

 40% = 12  |  40% + 40% = 80%  |   80% = 24  |  12 / 2 = 6  |  6 = 20%  | 40% + 40% + 20% = 30 questions

Please note that i'm not a professor and i might have this wrong.

Answer:

G.

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex](x+2)

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

1) Let the number be x.

2) To find one-third of a number, divide the number by 3 ,

3) x÷3.

Step-by-step explanation:

3,4 i think....... mmmmmmmmm

Answer:

(4 , 25)

Step-by-step explanation:

y = 10*f(x) + 5   .... a = 10

a*f(x): vertical stretch with factor a, if | a | > 1 then (x , y) -> (x , ay)

(4 , 2) ==> (4 , 20)

f'(x) + b : vertical translation UP b units  y = 10*f(x) + 5 , (x,y) -> (x, y+5)

(4 , 20) ==> (4 , 25)

Answer:

A. 0.2, 0.25, 0.2

B. the scores are a quarter of the whole

Answer:

so the three numbers can be turned into fractions.

1/5, 1/4, and 4/20.

fractions can be turned into decimals by dividing the denominator into the numerator.

now we have 0.2 , 0.25 , and 0.2

greatest to least, the numbers are 0.25 , 0.2 , and 0.2

(both 0.2s are equal, so order of those doesn't matter)

Step-by-step explanation:

⅕ of shots

Dwayne 25%

4 out 20

Write each score as decimal

Compare the three score.

Answer:

can not see the picture

Step-by-step explanation:

Step-by-step explanation:

[tex] \\ 43 \: thousandths \: as \: decimal \: \ \\ = 0.043 \: [/tex]

Step-by-step explanation:

[tex]forty \: three \: thousandths \: \\ one \: thousadths \: = \frac{1}{1000} = 0.001 \\ \\ so \: for \: forty \: three \: thousandths \: \\ = \frac{43}{1000} \\ \\ = 0.043[/tex]

Given :-

To find :-

Solution :-

According to Question ,

As we know that ,

Answer:

1. y=20x+100(this is the equation)

2. 260(this is how much he has after 8 weeks)

Step-by-step explanation:

Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].

Johnny is saving money to buy a Nintendo Switch.

He already saved the amount of $100.

He plans to save from his allowance each week is $20

The equation that represents the total savings is mentioned below.

[tex]y=20x+100[/tex]

Therefore, Substitute the values and solve them further.

[tex]y= (20\times 8) + 100[/tex]

[tex]y= 260[/tex]

Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]

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Step-by-step explanation:

mondey balance 104.24$

Tuesday balancs -23.99$

value = 104.24+23.99=128.23$

Answer:

a

Step-by-step explanation:

Answer:

2.511 square kilometers

Answer:

C, first I'm not sure if it's correct, but hear me out.

Step-by-step explanation:

If we already know that B=34 we need to find out the rest.

B=50 (Estimated)

D=45 (Estimated)

34+50+45

34+50=84+45=129, 129 estimated=130, and since their is no answer choice but C it should be C, I could be very wrong though.

Answer:

c = -20

Step-by-step explanation:

8/-0.4=-20.

8 = (-2/5) * 20

Answer:

The choice B.

[tex]x > 4 \\ x < - 1[/tex]

I hope I helped you^_^

Answer:

can u show us the question

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 3x - 2y = 30 ( add 3x to both sides )

- 2y = 3x + 30 ( divide terms by - 2 )

y = - [tex]\frac{3}{2}[/tex] x - 15 ← in slope- intercept form

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

__________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

Use Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=9^2-(√65)^2[/tex]

[tex]\\ \sf\longmapsto P^2=81-65[/tex]

[tex]\\ \sf\longmapsto P^2=16[/tex]

[tex]\\ \sf\longmapsto P=4[/tex]