Find the least numbers which must be subtracted from the following number to make them perfect square
42029

Answer:

Linear?

Step-by-step explanation:

its been years since I've seen this so I'm not sure

Answer:

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

Additional comment

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

Alternate solution

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

Answer: 7

Step-by-step explanation: A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine whether or not the diagonals

Answer:

7

Step-by-step explanation:

:D

Answer:

The answer is -4.

Step-by-step explanation:

Since its f/g, we know that f(n)= 2n^2+2n and g(n)=n+1.

N= -2. You will plug in all the values of n = - 2.

So...

2n^1+2n/n+1

2(-2)^2+2(-2)/-2-1 which will give you -4.

It is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

We are given a relation:

{(9 / 2, 1 / 4),(4 1 / 2, -4),(0, 5 / 6)}

We can also write it as:

{(9 / 2, 1 / 4),(9 / 2, -4),(0, 5 / 6)}

The domain of the relation will be:

Domain = { 9 / 2 , 0}

The range of the relation will be:

Range = {1 / 4, -4, 6}

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, this relation is not a function because:

The input 9 / 2 has 2 outputs as 1 / 4 and -4 which is not possible in a function.

Therefore, we get that it is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

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x+5=0 is ans

Step-by-step explanation:

x=-5

therefore,x+5=0

Step-by-step explanation:

There are 3 terms. A term is either a single number or variable or numbers and variables multiplies together

Answer:

Step-by-step explanation:

there are 3 terms

The coordinates of the image of the reflection of the parallelogram, HIJK, over the y-axis are;

H'(1, 3), I'(1, - 1), J'( -2, -2), K'( -2, 2)

The reflection of a pre-image, (x, y), over the y-axis gives an image at the point (-x, y), on the coordinate plane.

The given vertices of the parallelogram HIJK are;

H(-1, 3), I(-1, -1), J(2, -2), and K(2, 2)

The coordinates of the image are therefore;

[tex]H(-1, 3) \: \underrightarrow{ R_{ y-axis}} \: H ' (1, 3)[/tex]

[tex] I (-1, - 1) \: \underrightarrow{ R_{ y-axis}} \: I ' (1, - 1)[/tex]

[tex] J (2, -2) \: \underrightarrow{ R_{ y-axis}} \: J'( -2, -2)[/tex]

[tex] K (2, 2) \: \underrightarrow{ R_{ y-axis}} \: K'( -2, 2)[/tex]

The coordinates of the image, H'I'J'K' are therefore;

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Work Shown:

i = 28

r = 8% = 0.08

t = 3 months = (3/12) year = 0.25 year

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i = P*r*t

28 = P*0.08*0.25

28 = P*0.02

P = 28/0.02

P = 1400

Side notes:

Answer:

Step-by-step explanation:

-38 3/4

The number multiplied by 7/9 to get a product of one will be 9/7.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Suppose the number when multiplied by 7/9 as a product of one be x,

When the product of two numbers is 1, they are termed multiplicative inverses. To make the expressions simpler, use the multiplicative inverse. When we solve division problems, the multiplicative inverse is one application. When dividing two numbers, the dividend is multiplied by the reciprocal of the divisor.

x × 7/9 = 1

x=9/7

Thus, the number multiplied by 7/9 to get a product of one will be 9/7.

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You will make 1200 transactions by using the unitary method.

What is the unitary method?

Applying the unitary method to the given problem,

360 sec (three-sixty) = 360/60 = 6 min (six)

20*6(six) = 120 hr = 120*60 min

120*60/6 = 1200 transactions (answer)

You will make 1200 transactions by using the unitary method.

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The  property of equality was used to solve this equation is addition property of equality

The property states that the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

Given the expression

X-5=-14

Add 5 to both sides to have;

x-5 + 5 = -14 + 5

x = -14 + 4

x = -9

Hence the  property of equality was used to solve this equation is addition property of equality

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The maximum number of point of intersection of a line and circle is two

Circle:

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:

[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.

Line:

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Line and Circle can intersect at two points maximum

Therefore,The maximum number of point of intersection of a line and circle is two

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The elements of the given set A' ∩(B ∪ C') = {1, 3, 7. 9}

From the question, we are find the given set

The given set is

A' ∩(B ∪ C')

From the given information,

U = {1, 2, 3, ... , 9}

A = {4, 5, 6, 8}

B = {1, 3, 4}

C = {1, 2, 3, 4, 5}

First, we will determine A' and C'

A' = {1, 2, 3, 7, 9}

C' = {6, 7, 8, 9}

Now, we will find

B ∪ C' = {1, 3, 4, 6, 7, 8, 9}

Then,

A' ∩(B ∪ C') = {1, 3, 7, 9}

Hence, the elements of the set A' ∩(B ∪ C') = {1, 3, 7. 9}

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Answer:

athour of text 2 for the first Q

athour of text 1 for the second Q

athour of text 2 for the third Q

Answer:

Brainliest pls

Step-by-step explanation:

42sq yds

Answer:

The police will catch the thief in 5 minutes.

Step-by-step explanation:

Distance between thief and police after 2 minutes = 100 m

Implies, thief covers total 100 + 50t m

The police runs with the following patterns 60,65,70...

This is an Arithmetic Progression with a = 60, d = 5 & number of terms = t

t/2 (2 × 60+ (t − 1) ×5)= 50t + 100

t× (120 + 5t −5)= 100t + 200

​(−3+13)÷2= 5

So, the police will catch the thief in 5 minutes.

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x  - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

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Answer:

Step-by-step explanation:

What is answer to X/2 - X/5 = 3

x/2 - x/5 = 3

(3/10)x = 3

x = 3 : 3/10

x = 3 * 10/3

x = 10

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check

10/2 - 10/5 = 3

3 = 3

the answer is good

Answer:

4x-3y=21.

Step-by-step explanation:

1) the common view of slope-interception form is y=slope*x+interception;

2) if according to the condition the slope=4/3, then the required equation is

[tex]y=\frac{4}{3}x +interception;[/tex]

3) in order to calculate the interception it is enough to substitute the given coordinates into this equation:

[tex]1=6*\frac{4}{3} +interception; \ = > \ interception=-7;[/tex]

4) the slope interception form of the required equation is:

[tex]y=\frac{4}{3}x-7;[/tex]

5) if to re-write the equation in slope-interception form into the required, then (A=4; B=-3; C=21):

4x-3y=21.

Answer:

Hey there i see that you are doing scientific notation things well i will help you

Step-by-step explanation:

so 5.2 X 10 to the 5th power = 520000

3.9 X 10 to the 8th power = 390000000

and 4.7 X 10 to the 5th power  = 470000

so on that info the answer is

4.7 x 10(5), 5.2 x 10(5), 3.9 x 10(8)

hope you have a nice day

Answer and work is all shown in the provided screenshot! I hope this helps! :)

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Explanation:

Point L is at the location (-4, 2)

Translate 3 units to the left to arrive at (-7,2)

Then translate 4 units up to get (-7,6) which leads to choice A

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The rule of "translate 3 units left, 4 units up" can be condensed into the notation of [tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)[/tex]

Let's apply this rule to point M(1,2)

[tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)\\\\(1,2)\to(1-3,2+4)\\\\(1,2)\to(-2,6)\\\\[/tex]

This further confirms what choice A is saying since it mentions M'(-2,6)

I'll let you check the other points in choice A.

Answer:

34 I plus the word like in number it self

Answer:

18.

Step-by-step explanation:

1) formula of the perimeter given in the condition is:

p=2(VW+XV) or p=2(VY+XY).

Note, VW=XY and XV=VY;

2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then

2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.

3) if z=8, then VW=2z+2=2*8+2=18.

hi

-(3a-3) =   -3a +3    

you cannot do much more.  

You can  rewrite it as  3 ( -a +1)   or as  -3 ( a -1)  but nothing more really.

Answer:

88, 276, 192.

Step-by-step explanation:

Let the first number be x.

Then the second number is 3x.

Then the third number is (x+100).

Sum of the numbers=540

x + 3x + ( x + 100 ) = 540

5x = 440

x = 88.

The first number is 88.

The second number is 276.

The third number is 192

The simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12

Given the expression in question;

( (-2 + h)³ + 8 ) / h

First, we simplify the numerator.

Lets rewrite 8 as 2³

(-2 + h)³ + 2³

Now, we can use the sum of cubes formula to factorize since both terms are perfect cubes.

a³ + b³ = ( a + b )( a² - ab + b² )

(-2 + h)³ + 2³ = ( -2 + h + 2 )( (-2 + h)² - (-2 + h)2 + 2² )

(-2 + h)³ + 2³ = h( (-2 + h)² + 4 - 2h + 4 )

(-2 + h)³ + 2³ = h( (-2 + h)²- 2h + 8 )

(-2 + h)³ + 2³ = h( (h² - 4h + 4 )- 2h + 8 )

(-2 + h)³ + 2³ = h( h² - 4h + 4 - 2h + 8 )

(-2 + h)³ + 2³ = h( h² - 6h + 12 )

Now bring back the denominator.

( h( h² - 6h + 12 ) ) / h

Cancel the common factors h

h² - 6h + 12

Therefore, the simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12

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Answer:

$42.00

Step-by-step explanation:

Let x  = the original cost of the sweatshirt

x - .15x = 35.70  We don't know the original cost so we will call it x.  I know that we are taking 15 off of this number to get the sale's price.  15% means per 100, so as a fraction this would be 15/100.  To make this a decimal, I would divide 15 by 100 to get .15

x - .15x = 35.70  Combine the like terms

.85x = 35.70  This is say that 85% if the original price is the sale price of 35.70

Divide both sides of the equation by .85 and we get x = 42.00

Check:

42 - .15(42) = 35.70

42 - 6.30 = 35.70