1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
15

Find the smallest integer k such that 60k is aperfect square​

Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:  k = 15

<u>Step-by-step explanation:</u>

60 times some number k must be a perfect square.

Factor 60 to see which values do not have a pair:

60 = 2 · 2 · 3 · 5   --> 60 =<u> 2 · 2</u> · 3 · 5

                                                        ↓

                                                     3 · 5   are not pairs

So,  you need to multiply 60 by 15 to make a perfect square

60 × 15 = 900      →          \sqrt{900}=30

You might be interested in
X^2+4x+20=12x-5<br><br> Solve this equation
Scrat [10]

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

\frac{8+-\sqrt{64-4(1)(25)} }{2a}=\frac{8+-\sqrt{64-100} }{2}=\frac{8+-\sqrt{-36} }{2}

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

8 0
2 years ago
Read 2 more answers
Pre-Calc :
nikitadnepr [17]
The answer is 
x=2t and t=x/2, but we have <span>y = 3t -1
so </span><span>y = 3(x/2) -1
so y = 3x/2  - 1</span>
5 0
3 years ago
which of the following are the dimensins of a rectangle that has a perimeter of 148 and an area of 144
atroni [7]
The dimensions are 72x2
Because 72*2=144 & 72+72+2+2=148
Your'e Welcome!! 
Hopefully this is Brainliest worthy!!

8 0
3 years ago
Can someone please please help me I don’t understand
Snowcat [4.5K]

Answer: Pretty sure the answer is C

Step-by-step explanation:

4 0
3 years ago
Mrs. Cerra planted 4 ⅞ acres of wheat and 1 ⅝ acres of corn. How much more wheat did she plant than corn?
alukav5142 [94]
We can subtract the acres of corn from the acres of wheat.
4 \frac{7}{8} - 1  \frac{5}{8} = 3 \frac{2}{8} = 3  \frac{1}{4}
She planted 3 1/4 more acres of wheat than corn.
3 0
3 years ago
Other questions:
  • Factor. 10x^5−16x^4+4x^2
    11·1 answer
  • How do you find height with diameter ​
    5·1 answer
  • A number x plus 10 is more than 2
    10·1 answer
  • On a number line, what is two-thirds of the distance from one-half to 2.25
    13·1 answer
  • Doug has a weekend job. He earns $9.50 an hour and works 6 hours on Saturday. He works some more hours on Sunday, and his payche
    9·1 answer
  • Determine the difference between (2x2 - 0.7x) and (-1.9x2 + 3.8x)​
    14·1 answer
  • Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the numb
    14·1 answer
  • aflati masurile a doua unghiuri complementare stiind ca masura unuia dintre ele este cu 18° mai mica decat triplul masurii celui
    9·1 answer
  • Please ignore the writing. but help me solve it please. its the second nintey level one.
    8·1 answer
  • Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!