can the area of a square be expressed as a prime number if its side length is expressed as a natural number?

Answers

Answer 1

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

Answer 2

Answer:

No

Step-by-step explanation:

Because the area of a square is always a square of its length and a square can't be prime.


Related Questions

one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work

Answers

Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

PLEASE HELP URGENTLY!!

Answers

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

Help!! Please! appreciate it !!

Answers

Answer:

I'm pretty sure you are intended to pick AAS.

Step-by-step explanation:

As it stands, AAS. But this can be an unreliable theorem. If you show that the third angles are equal (which they are) using the fact that if two angles of a triangle are equal to the corresponding angles of another triangle, then the third angle is as well. That means that you can use the much more reliable ASA.

Given sin
=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO

Answers

Answer: [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

Use trigonometry (shown in image below) to find the 3 side-lengths:

The side opposite of θ = [tex]\sqrt{23}[/tex]The base side adjacent to θ = 11The hypotenuse = 12

According to right triangle trigonometry:

cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Substitute in the values:

cos θ = [tex]\frac{11}{12}[/tex]

rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)

Answers

Answer:

10

Step-by-step explanation:

not sure please verify

Solve 7x + 1 < 4(x - 2).

A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}

Answers

SoLuTiOn☞

Given:- 7x + 1 < 4(x - 2)

Solving It:-

7x + 1 < 4(x - 2)

7x + 1 < 4x - 8

7x - 4x < -8 -1

3x < -9

x < -9/3

x < -3

So Correct Solution Set Will Be

C. {x | x < -3}

Hope This Helps You
So your answer is C hope this help

Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the lenght of OP

Answers

Answer:

5.1 cm

Step-by-step explanation:

(Probable) Question;

Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP

The given parameters are;

The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm

The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm

The length of OP = Required

By Pythagoras's theorem, we have;

[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²

∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01

[tex]\overline{OP}[/tex] = √26.01 = 5.1

The length of OP = 5.1 cm

If the point A at (5, 3) is rotated clockwise about the origin through 90°, what
will be the coordinates of the new point?

Answers

Answer:

(5,-3) in the 4th quadrant

Step-by-step explanation:

​Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?​

Answers

Answer:

$7.47

Step-by-step explanation:

Take the number of pounds and multiply by the price per pound

3 * 2.49

7.47 for 3 pounds of apples

Answer:

7.49

Step-by-step explanation:

Given: 3 pounds, and 2.49 for each pound

Multiply:

2.49 × 3

 ₁   ₂    

 2.49

×      3

----------

 7. 47

Mrs. Ella bought 3 pounds of apples for $7.49

In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves

Answers

The game does contain random moves. It depends on how player is being described in this situation

PLEASE HELP ITS TIMED!!!!

Answers

Answer:

It's A

Step-by-step explanation:

DO FOIL

-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2

Answer:

the first answer: -10a^4 + 17a^2s-6s^2

Step-by-step explanation:

how can the graph of g(x) =x2+4 be obtained from the graph of f(x) =x2

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The graph of g(x) is the graph of f(x) shifted up by 4 units

what would be the u to usub and what would be the steps to solving this integral?

Answers

Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).

Then substituting u = ln(x) and du = dx/x gives

[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]

Part B
Question
Type the correct answer in the box.
The y-intercept of the parent function, f(x), is
I
The y-intercept of the child function, g(x), is

Answers

Answer:

The y-intercept of the parent function, f(x), is 0

The y-intercept of the child function, g(x), is  7

Step-by-step explanation:

Since the parent function passes through the origin, its y-intercept is 0. Once the function is translated 7 units up, its y-intercept is 7.

The solution is :

Vertex is (-2, 0)

y-intercept is 4.

What is vertex?

In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

here, we have,

to find the function translated 2 units left, we just need to substitute the 'x' in the equation by 'x+2':

f(x) = (x+2)^2 = x2 + 4x + 4

Then, to find the vertex, we can use the formula:

x_v = -b / 2a

x_v = -4 / 2 = -2

Now, finding the y_vertex, we have:

f(x_v) = (-2)^2 + 4*(-2) + 4 = 0

So the vertex is (-2, 0)

To find the y-intercept, we make x = 0 and then find f(x):

f(0) = 0 + 0 + 4 = 4

So the y-intercept is 4.

To learn more on vertex click:

brainly.com/question/12563262

#SPJ2

complete question:

Identify the vertex and y-intercept of the graph of the function translated 2 units left from the parent function f(x) = x².

vertex: ( ? , ? )

y-intercept: ?

In ΔFKR, which side is included between ∠F and ∠R?

Answers

Answer:

First choice

Step-by-step explanation:

It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.

Which table shows a proportional relationship between a and b?

Answers

Answer:

It is c

Step-by-step explanation:

Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..​

Answers

Answer:

648

Step-by-step explanation:

18√2×18√2= (18√2)²

                  = (18)²×(√2)²

                  = 324×2

                  = 648

Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number

Answers

Answer:

See answers below

Step-by-step explanation:

For the expression

The sum of two numbers is  25.  The first number is 37 more  than 2 times the second  number

Let the two numbers be x and y

If the sum is 25, then;

x + y = 25 .... 1

37 more  than 2 times the second  the number is expressed as;

37+2y

If the first number is 37 more  than 2 times the second  number, then;

x = 37 + 2y

x - 2y = 37 ...2

This shows that the simultaneous equation that fits the expressions are;

x - 2y = 37

x + y = 25

For the expression

A child has a piggy bank full  of $1 and $2 coins totaling  $37.  There are 25 more $1 coins  than there are $2 coins.

Let x be the $1 coins

Let y be the $2 coins

If a child has a piggy bank full  of $1 and $2 coins totaling  $37, then;

x + 2y = 37 ... 1

Also, if there are 25 more $1 coins  than there are $2 coins, then;

x = 25 + y

x - y = 25 ...2

The equivalent expressions for the statement will be;

x + 2y = 37

x - y = 25

This hence leaves us with the last;

An exam that is worth 37  marks contain 25  questions.  The questions are either  worth 1 mark or 2 marks. The resulting simultaneous equation will be;

x + 2y = 37

x + y = 25

Which equation represents a line that passes through ( -2 , 4 ) and has the slope of 2/5

Answers

Answer:

y = 2/5x +24/5

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

y = 2/5x +24/5

Does this graph show a function? Explain how you know.

Answers

Answer:

A is the correct one

cause according to function rule the vertical line should cut only on a one point to be function

as here we can see that vertical line cuts here at two point

Please help, explain too and I will give brainliest :)

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 37 degrees

Step-by-step explanation:

27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.

I'm sure you can do it with an actual formula, but i can't recall. Cheers

Whats his mistake and the correct awnser

Answers

Answer:

θ ≈ 35.7°

Step-by-step explanation:

His mistake was in using the wrong trig. ratio

Instead of using cosine he should have used the sine ratio

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{12}[/tex] , then

θ = [tex]sin^{-1}[/tex] ([tex]\frac{7}{12}[/tex] ) ≈ 35.7° ( to the nearest tenth )

No idea how to do

[tex]\frac{4r + 20}{r + 5}[/tex]

when r ≠ 5 ?

Answers

Factorize the numerator:

4r + 20 = 4r + 4×5 = 4 (r + 5)

I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:

(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=

Answers

Answer:

k=10

Step-by-step explanation:

Brainliest please~

Answer:

K=10

Step-by-step explanation:

Correct on Plato

Work out the circumference of this circle 7.5

Answers

Answer:

47.12

Step-by-step explanation:

C=2πr=2·π·7.5≈47.12389

Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?

Answers

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

pls help me solve this multiplication fractions. (show work)​

Answers

Answer:

32:3/4

33:4/3

34:40

35:48

Answer:

32. 3/4
33. 4/3
34. 40
35. 384/7

Step-by-step explanation:

32. 9/10 • 5/6

Multiply 9 x 5/10 x 6

9 x 5/10 x 6 = 45/60

Then simplify 45/60 “by factoring out 45 and 60 and finding the Greatest Common Factor (GCF)”

45/60 = 3/4

•••••••••••••••••••••••••••••••••••••••••••••••••••

33. 16/21 • 7/4

Multiply 16 x 7/21 x 4

16 x 7/21 x 4 = 112/84

Then simplify 112/84 “by factoring out 112 and 84 and finding the Greatest Common Factor (GCF)”

112/84 = 4/3

•••••••••••••••••••••••••••••••••••••••••••••••••••

34. 8 4/7 • 4 4/6

Multiply 7 by 8 and add 4

7 x 8 + 4 = 60

Then add the denominator back

60/7

Multiply 6 x 4 and add 4

6 x 4 + 4 = 28

Then add the denominator back

28/6

We’re left with 60/7 • 28/6

Multiply 60 x 28/7 x 6

60 x 28/7 x 6 = 1680/42

Then simplify 1680/42 “by factoring out 1680 and 42 and finding the Greatest Common Factor (GCF)”

1680/42 = 40

••••••••••••••••••••••••••••••••••••••••••••••••

35. 7 4/8 • 6 2/5

Multiply 8 by 7 and add 4

8 x 7 + 4 = 60

Then add the denominator back

60/7

Multiply 5 x 6 and add 2

5 x 6 + 2 = 32

Then add the denominator back

32/5

We’re left with 60/7 and 32/5

Multiply 60 x 32/7 x 5

60 x 32/7 x 5 = 1920/35

Then simplify 1920/35 “by factoring out 1920 and 35 and finding the Greatest Common Factor (GCF)”

1920/35 = 384/7

••••••••••••••••••••••••••••••••••••••••••••••••

please mark me as brainliest! This took me effort

Building 1 (Circle) : Rotate 270 degrees counterclockwise around the origin. Building 2 (Square): Reflect across the y axis. Building 3 (Triangle): Reflect across the y axis, then translate 3 up and 2 to the left. Building 4 (L-Shape) : The points A (3, 8), B (6, 8), C (6, 3), and D (5, 3) need to be transformed to points A'' (–3, 1), B'' (–6, 1), C'' (–6, –4), and D'' (–5, –4). Avoid the pond, which is an oval with an origin at (0, 0), a width of 4 units, and a height of 2 units.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as some coordinates to transform are not given.

I will, however, give a general explanation.

Rotate circle 270 degrees counterclockwise

This implies that, we rotate the center of the circle and the rule of this rotation is:

[tex](x,y) \to (y,-x)[/tex]

Assume the center is: (5,3), the new center will be: (3,-5)

Reflect square across y-axis

The rule is:

[tex](x,y) \to (-x,y)[/tex]

If the square has (3,5) as one of its vertices before rotation, the new point will be (-3,5).

Reflect triangle across y-axis, then 3 units up and 2 units left

The rule of reflection is:

[tex](x,y) \to (-x,y)[/tex]

If the triangle has (3,5) as one of its vertices before rotation, the new point will be (-3,5).

The rule of translating a point up is:

[tex](x,y) \to (x,y+h)[/tex] where h is the unit of translation

In this case, h = 3; So, we have:

[tex](-3,5) \to (-3,5+3)[/tex]

[tex](-3,5) \to (-3,8)[/tex]

The rule of translating a point left is:

[tex](x,y) \to (x-b,y)[/tex] where b is the unit of translation

In this case, b = 2; So, we have:

[tex](-3,8) \to (-3+2,8)[/tex]

[tex](-3,8) \to (-1,8)[/tex]

The L shape

[tex]A = (3, 8)[/tex]       [tex]A" = (-3, 1)[/tex]

[tex]B = (6, 8)[/tex]       [tex]B"= (-6, 1)[/tex]

[tex]C = (6, 3)[/tex]       [tex]C" = (-6, -4)[/tex]

[tex]D = (5, 3)[/tex]       [tex]D" = (-5, -4)[/tex]

Required

The transformation from ABCD to A"B"C"D"

First, ABCD is reflected across the y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A' = (-3,8)[/tex]

[tex]B' = (-6,8)[/tex]

[tex]C' = (-6,3)[/tex]

[tex]D' = (-5,3)[/tex]

Next A'B'C'D' is translated 7 units down

The rule is:

[tex](x,y) \to (x,y-7)[/tex]

So, we have:

[tex]A"= (-3,8-7) = (-3,1)[/tex]

[tex]B"= (-6,8-7) = (-6,1)[/tex]

[tex]C"= (-6,3-7) = (-6,-4)[/tex]

[tex]D"= (-5,3-7) = (-5,-4)[/tex]

The slope of a line is 5/9 and the slope of another line is -975. The two lines
are

Answers

Answer:

the third option - they are perpendicular to each other.

Step-by-step explanation:

for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.

and that is exactly what happened here.

Find the volume

Help me please

Answers

Answer:

54piecm^3

Step-by-step explanation:

pie x radius ^2 x h

= v

pie x 9

= 9pie x 6

= 54pie

Answer:

54pi cm^3

Step-by-step explanation:

V = (pi)r^2h
V = (pi)(3^2)(6)
V = (pi)(9)(6)
V = 54pi cm^3
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