Find the smallest value of k such that 54k is a perfect square.

Answers

Answer 1

Answer: 6

Step-by-step explanation:

From the prime factorization of 54 you get:

54 = 2×3×3×3

So ,

You can write it as,

54 = 2×3^2×3,

Make sure all of the factors are in square form, so we add a another 2 and a three to the factors to make them all in square form

You get

=2×3^2×3×2×3 (the last 2×3 is added because one 2 and 3 were not having another pair so they were added to make them squares)

So k is basically 2×3 which is 6

And 54×6 gives us 324, which is a perfect square.


Related Questions

Can someone please help me

Answers

Answer:

Choice C

Step-by-step explanation:

-4 + |-2k| = 2

|-2k| = 6

2k = 6

k = 3

-2k = 6

k = -3

Solve the equation y + 5=-12
A y=-19
B y=-17
C y=-7
D y=7

Answers

Answer:

y=17

Hope this helps you

B. Y= -17
Since it’s a negative plus a positive you’re pretty much subtracting.

Which is the largest?
O 5.42
O 5 1/2
O 5.2
O 5.25

Answers

Answer:

5 1/2

Step-by-step explanation:

5 42 is less than 5.50= 5 1/2, 5.2 is = 5.20 which is agian smallier than 5.50 and same with 5.25.

(06.02 LC)
Simplify (4x - 6) + (5x + 1).
O9x + 5
O 9x - 5
Ox-5
O-x-5

Answers

Answer:

9x - 5 (second option)

Step-by-step explanation:

[tex](4x - 6) + (5x + 1)[/tex]

[tex]4x - 6 + (5x + 1) = 4x - 6 + 5x + 1[/tex]

[tex]4x + 5x = (4 + 5)x = 9x[/tex]

[tex]9x - 6 + 1 = 9x - 5[/tex]

[tex] = 9x - 5[/tex]

help me pleaseeee this is due tomorrow

Answers

Answer:

The value of A=7

The value of B=2

SEMOGA MEMBANTU

The normal pulse for healthy adults ranges from 60 to 100 beats per minute. Suppose if A Man’s pulse rate is 75 beats per minute, then what will be the pulse rate for 10 minutes.

Answers

Answer:

75x10=750

Step-by-step explanation:

75 beats for one minute times 10 mins

Determine whether the relation is a function.
5 points
TOI
Function
Not a Function

Answers

Answer:

Function

Step-by-step explanation:

Put a vertical line through every point.

If the line goes through another point, then it is not a function.

This method is called the Vertical Line Test or VLT

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which of the following are properties of parallelograms?

SELECT ALL THAT APPLIES THAT MEANS THERE ARE MORE THAN ONE ANSWER. IF YOU CAN'T PUT MORE THAN ONE ANSWER DOWN THEN I BEG YOU NOT TO ANSWER. THANK YOU.

A. One pair of parallel sides.
B. Both pairs of opposite of angles are congruent.
C. Consecutive angles are congruent.
D. Both pairs of opposite sides are congruent.
E. Consecutive angles are supplementary.

Answers

Answer:

Hello! Your answer is BELOW

Step-by-step explanation:

D Both pairs of opposite sides are congruent.

B Both pairs of opposite of angles are congruent.

A One pair of parallel sides.

Hope I helped! Hope you make an 100%

-Amelia♥

Answer:

maybe A? B, D, E

Give brainlest if u agree :)

Step-by-step explanation:

A - Parrallelgrams do indeed have 1 pair of parrlell sides, but are not limited to 1. They in fact have 2 sides. If ur instructor is super literal i would put A, if not then technically a parallelogram has 2 pairs of parrallel sides.

B - True. opposite  pairs have the same measure of radians

C - Not true because of B

D - True, sides are same length

E - True, consecutive angles add to 180

Source: https://www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms

QP AND QN are :
a . parallel
b . perpendicular
c . skew

Answers

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Help Plss
How many solutions do y=5-2x and 4x+2y = 10 have?​

Answers

y=2x+5

2(2x+5)+4x=10

4x+10+4x=10

8x=20

So there's one solution, x=2.5

14.1 x 2.7. Show work pls!

Answers

Answer:

14.1 x 2.7

= 141/10 . 27/10

=3807/100

=38,07

Step-by-step explanation:

Find the measure of Zx in the figure.

Answers

Answer:

130 degrees

Step-by-step explanation:

Add 90 and 40

HELP DUE IN 10 MINUTES!!

Solve for x.

−2(4x+4) - 3x - 2 = 34

Answers

Answer:

[tex] - 2(4x + 4) - 3x - 2 = 34 \\ \\ - 8x - 8 - 3x - 2 = 34 \\ \\ - 8x - 3x = 34 + 8 + 2 \\ \\ - 11x = 34 + 8 + 2 \\ \\ - 11x = 44 \\ \\ x = - \frac{44}{11} \\ \\ x = - 4[/tex]

Answer:

[tex]−2(4x+4) - 3x - 2 = 34 \\ - 8x - 8 - 3x - 2 = 34 \\ - 11x - 10 = 34 \\ - 11x = 34 + 10 \\ - 11x = 44 \\ \frac{ - 11x}{ - 11} = \frac{ - 44}{ - 11} \\ x = -4 [/tex]

B=(r+z/2)solve for r

Answers

Step-by-step explanation:

open the blanket B=r+z/2

shiftz/2 to the leftside

B-z/2=r

How can I solve this

Answers

Answer:

[tex]\frac{a^{5}b }{x^{6} }[/tex]

Step-by-step explanation:

you just need to forget about 0 because whole equation is raised to 0

and anything raise to 0 is 1

so

[tex]\frac{a^{5}b^{4} }{x^{6}b^{3} }[/tex]  law of exponent [tex]a^{n}[/tex] ÷ [tex]a^{m}[/tex] = [tex]a^{n-m}[/tex]

here [tex]b^{4}[/tex] ÷ [tex]b^{3}[/tex] = [tex]b^{4-3}[/tex]

       = [tex]b^{1}[/tex]

so the answer will be

[tex]\frac{a^{5}b }{x^{6} }[/tex]

A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went down 7 more feet.

Answers

Answer: 9

Step-by-step explanation:

Answer:

he's a total of 9 feet under the water

Step-by-step explanation:

Lily withdrew 2/5 of her savings from the bank. She spent $ 420 of it and
had $ 28 left. How much was her total savings in the bank at first?

Answers

$1,120 is the answer lmk if u want an explanation

Point A is at (3,-8) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

Answer:

(5, -2)

Step-by-step explanation:

because that is the only other place on the line where it is on a actual point

The midpoint is located at the average of the two x-values and the average of the two y-values, whether or not that point has whole number coordinates.

3+7
—— = 5
2

-8 + 3
——— = -2.5 (or -5/2)
2

So the midpoint is (5, -2.5). Notice this doesn’t have an integer coordinate for the y-value.

The diagram above shows a circle with centre O and radius 25 cm.
Given PR = 40 cm, MR = 21 cm and PR = KM, find the perimeter, in cm, of the pentagon OLMRQ.​

Answers

Answer:

Step-by-step explanation:

Notice that KL = LM and PQ = QR since OL and OQ are perpendicular to both KM and PR.

It follows that QR = (1/2) PR = 20 cm. We also know that MR = 21.

Now in order to solve the problem we just need OQ=OL

[tex]OQ^2=OR^2-QR^2= 25^2-20^2 =225\\OQ=15[/tex]

Therefore the perimeter of the pentagon is

[tex]OL+LM+MR+RQ+Q)\\= 15+20+21+20+15= 91[/tex]

what is trigonometry​

Answers

trigonometry. • the branch of mathematics that deals with triangles. and their sides and angles. • the study of the relationships between. the sides and angles of triangles, and.

what is trigonometry

trigonometry is a very common branch of mathematics the word trigonometry means measurement of side of a triangle this branch of mathematics can be used to find the angle of a triangle knowing its side or to find the ratio of side of triangle knowing its angle

fact

angle equals to Arc / radius its unit is radian

Radian equals to 180 degree

sin, cos ,tan, cot, sec , cosec 6 trigonometric ratio

each ratio is written by its first small English later

which angles of the triangles measure 90 degrees

Answers

A right angle is 90 degrees

If Tis the midpoint of SU, findx.
8x + 11
127-1
S
T
U

Answers

Answer:

x=3

Step-by-step explanation:

Since T is the midpoint of SU, this means that ST is equivalent to TU.

Answer:

8x+11:88888899

127-1:126

Step-by-step explanation:

i think it's helping you...say yes or no to my answer...have a great day

What is the surface area of a cube that has a side length of 5 feet?


A. $25


B. $75


C. $125

D. $150

Answers

Answer:

D. 150

Step-by-step explanation:

A=6a^2=6·5^2=150

The surface are of the cube is 150 formula is a^6

Can SOMEONE PLEASE HELP ME I NEED HELP!!! Please I don’t get it!!!

Answers

Step-by-step explanation:

AC = AB + BC

81 = 2x + 1 + 6x

81 = 8x + 1

81 - 1 = 8x

80 = 8x

80/8 = x

10 = x

Step-by-step explanation:

According to the question,

AB+BC=AC

2x+1+6x=81

8x+1=81

8x=81-1

8x=80

x=80/8

x=10

(20 points)I need help please

Answers

[tex]\text{Suppose the width of the rectangle is }x\text{ cm}[/tex]

[tex]\text{then the perimeter can be expressed as}[/tex]

[tex]2(24+x)=72[/tex]

[tex]24+x=36[/tex]

[tex]x=12[/tex]

[tex]\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2[/tex]

Answer: Solution,

length (l) = 24 cm

perimeter (p)= 74 cm

Area (A) = ?

we know,

P = 2(l + b )

74 = 2( 24 + b)

74 = 48 + 2b

2b = 74 - 48

2b = 26

b= [tex]\frac{26}{2}[/tex]

b = 13

now,

A = l*b

   = 24 * 13

   = 312 cm square

Therefore, the area of the rectangle is 312 cm square.

What is the solution to the system of equations?
V=
= x + 3
x=-2

Answers

Answer:  The equations aren't written properly.  They seem to be missing something, but if I interpret what is there, we have 1) V = x + 3, and 2) x = -2.

That can't be correct, but if it is, x = -2. and V = 1

Step-by-step explanation:

I need help. answer fast pls

Answers

Answer:  9) x = 2,  10) x = 3

Step-by-step explanation:

9)  (9x+7)+(-3x+20) = 39

9x + 7 -3x + 20 = 39

6x + 27 = 39

6x = 12

x = 2

==========================

10)  3x + 5x = 24

8x = 24

x = 3

how to find domain and range of a graph​

Answers

Answer:

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

HELP W THIS PROBLEM PLEADE!!

Answers

Answer:the answer is C

Step-by-step explanation:

Usslosksksksmmsajxjdjwn d ani’s

In the figure, RXQ= 8x-1
RXS= 5x+28
QXS= 3x+5
find RXS

Answers

Answer:

RXS=48

Step-by-step explanation:

According to the figure,

RXQ+QXS=RXS

or,8x-1+3x+5=5x+28

or,8x+3x-5x=28+1-5

or,6x=24

or, x=24/6

or,x=4

Then,

RXS=5x+28

=5×4+28

=20+28

=48

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