Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). How many units is the perimeter of square ABCD?

Answer:

y=16x - 35

graph is in the pic

Answer:

Parent Function:

y=√x

Horizontal Shift: Right 2 Units

Vertical Shift: Down 3

Units

Reflection about the x-axis: None

Vertical Stretch: Stretched

Step-by-step explanation:

Answer:

A≈1135.93

Step-by-step explanation:

Hope I help

Answer:

1136.6cm^2

Step-by-step explanation:

[tex]V = 3600\\V =\frac{4}{3} \pi\times r^3\\3600=\frac{4}{3} \times \frac{22}{7} \times r^3\\3600 =\frac{88r^3}{21} \\88r^3 =3600 \times 21\\88r^3 =75600\\\frac{88r^3}{88} =\frac{75600}{88} \\r^3 = 859\\\sqrt[3]{r^3} =\sqrt[3]{859} \\r = 9.51\\\\T.S.A = 4\pi\times r^2\\T.S.A = 4 \times 3.142\times 9.51^2\\T.S.A = 4 \times 3.142 \times 90.4401\\T.S.A = 4\times 284.16\\T.S.A =1136.64[/tex]

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

6A) i) 5 and 3 product is 15

ii) (-5) and (-3) product is 15

6B. The product of 5·i and 3·i is -15

6C. When two or more real factors are multiplied and they have the same sign, the product is positive

Step-by-step explanation:

6A. To examples that support Francisco's statement are;

Given the factors that have the same sign;

i) 5 and 3 both positive

ii) (-5) and (-3) both negative

The products of each of the two factors are therefore;

5 × 3 = 15 (Positive product)

(-5) × (-3) = 15 (Positive product)

6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;

5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15

Therefore;

5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim

6C. Francisco could rewrite his statement as follows;

When two or more real factors are multiplied and they have the same sign, the product is positive

To make it always true.

Answer:

Infinitely many solutions.

Step-by-step explanation:

y = -6x + 2

Add 6x to both sides

6x + y = 2

-12x - 2y = -4

Divide each term by -2

6x + y = 2

Since both equations are actually exactly the same, this linear system will have infinitely many solutions.

Hope this helps!

Answer:

The cost is $43.2

Step-by-step explanation:

The first thing to do here is to calculate the amount of energy consumed.

From the question, we are told that this is;

Power * Time

From the question, power = 1600 watts

Time = 9 hours

So amount of energy consumed = 1600 watts * 9 hours = 14,400 watts hour

It should be known that energy is measured in Kilowatts hour ; So therefore 14,440 watts hour is 14,440/1000 kwh = 14.4 kwh

Now, the cost per unit of energy is $3.00 per kwh

So the cost of using 14,400 watts hour would be 14.4 * 3 = $43.2

Answer:

Answer is below

Step-by-step explanation:

The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.

Answer:

?=3

Step-by-step explanation:

a= 3/5 b - 7

Answer:

the number that should be in the green box is 3

Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..

7 less than three fifths of b is a gives 3/5b-7=a

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.

Answer:

Step-by-step explanation:

The difference in sizes:

2169 - 2057 = 112 square feet

It is 10 years from 2000 to 2010

112:10 = 11.2

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer:

The width (side perpedicular to the wall of the werehouse):  x = 30 m

The lenght (side parallel to the wall of the werehouse):  y = 60 m

Step-by-step explanation:

x - the width of the fenced area

Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:

y = 120 - 2x

Area of the fencing:  A = x•y

A(x) = x•(120 - 2x)

A(x) = -2x² + 120x              ←  quadratic function

The maximum value of quadratic function occurs at:  [tex]x=-\frac b{2a}[/tex]

a = -2     b = 120

[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]

y = 120 - 2•30 = 60

Answer:

D

Step-by-step explanation:

If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.

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Hope this helps you...

Answer:

The correct option is;

pH = 4.1

Step-by-step explanation:

The given information are;

The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]

The pH of a solution = -㏒{H⁺] =  -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1

The pH of the of the tomato juice = 4.1

The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.

Answer:

(2 × 9j) + (2 × 5)    AND     18j + 10  

Step-by-step explanation:

=> 2(9j+5)

Applying distributive property to expand the brackets

=> (2 × 9j) + (2 × 5)         ←  1st Expression

=> 18j + 10                       ← 2nd Expression

Answer:

0.08, 4, 0.12

Step-by-step explanation:

0.08, 4, 0.12

Answer:

5x+8

Step-by-step explanation:

2+5+ 3x + 1 + 2x

Combine like terms

3x+2x     + 2+5+1

5x          +8

Answer:

Yes

Step-by-step explanation:

To simplify an expression like the one, you have to collect all the like terms and do the operation individually for each group of like terms.

In 2+5+3x+1+2x, the like terms are:

2,5,1 and 3x,2x

Solve them individually.

2+5+1=8

3x+2x =5x.

Put the, back and the final answer is 5x+8

Hope this helps

Answer:

Let the number to be found be x.

3/7 of which is 2 1/14

The above expression is written as

3/7x = 2 1/14

Convert the mixed number to an improper fraction

That's

3/7x = 29/14

Multiply both sides by 14

We get

3/7x × 14 = 29/14×14

6x = 29

Divide both sides by 6

x = 29/6 or 4 5/6

Hope this helps you

Answer: There is one solution, -20

Step-by-step explanation:

[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]

There is one solution, -20

Hope it helps <3

Answer:

Step-by-step explanation:

Solution,

[tex] - 6(x + 7) = - 4x - 2[/tex]

Distribute -6 through the parentheses

[tex] - 6x - 42 = - 4x - 2[/tex]

Move variable to L.H.S and change its sign

[tex] - 6x + 4x - 42 = - 2[/tex]

Move constant to R.H.S and change its sign

[tex] - 6x + 4x = - 2 + 42[/tex]

Collect like terms

[tex] - 2x = - 2 + 42[/tex]

Calculate the sum

[tex] - 2 x = 40[/tex]

Divide both sides of the equation by - 2

[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]

Calculate

[tex] x = - 20[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

After solving this question correct answer is (A)

Answer:

1:12:4

Step-by-step explanation:

Let's say that George's age is x. That means that Alex's age would be x+12

Since Carl is 3 times older, Carl would be 3(x+12)

We put all those in the equation and get this:

x+ x+12 + 3(x+12)=68

2x+12+3x+36=68

5x+48=68

5x=20

x=4

George is 4 years old, Alex is 16, and Carl is 48

Divide every age by 4 to find the ratio

In order of George, Carl, and Alex:

1:12:4

Answer:

1 : 12 : 4.

Step-by-step explanation:

Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.

Alex is 12 years older than George, which means that a = g + 12.

Carl is three times older than Alex, which means that c = 3a.

The sum of the ages is 68, meaning that a + g + c = 68.

Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.

That way, we can put it all together...

(g + 12) + g + (3g + 36) = 68

g + g + 3g + 12 + 36 = 68

5g + 48 = 68

5g = 20

g = 4

Now that we have George's age, we can calculate the others!

a = g + 12

a = 4 + 12

a = 16

Now that we have Alex's age, we can calculate Carl's!

c = 3a

c = 3 * 16

c = 48

To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!

The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.

4 : 48 : 16

To simplify, divide all three numbers by 4.

1 : 12 : 4.

You can no longer simplify, so there is your answer!

Hope this helps!

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

RU is a diameter, so the two equations make half a circle which is 180 degrees.

24x+5 + 10x+5 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34

X= 5

RS= UV

RS = 10x +5

Replace x with 5

RS = 10(5) + 5 = 55

Answers:

X = 5

RS = 55

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

Answer:

[tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then

central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle

central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]

Answer:

B. [tex]\frac{\pi }{2}[/tex] radians

Step-by-step explanation:

Edge 2021

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.

Answer:

4 ( x-1)^2

Step-by-step explanation:

4x^2 − 8x + 4.

Factor out the greatest common factor

4( x^2 -2x+1)

Factor inside the terms

4( x-1) (x-1)

4 ( x-1)^2

Answer:

4(x-1)(x-1)

4(x^2-2x+1) C

Step-by-step explanation:

4x^2 − 8x + 4 common factor 4

4(x^2-2x+1)

4(x-1)(x-1) or (4x-4)(x-1)