If K is divisible by 2 , 3 and 5, which of the following is also divisible by these numbers?
PLEASE HELP

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104

Answer:

I think it is 4

Step-by-step explanation:

also if you need more help, go to khanacademy.org (100% free) and take the lesson on your topic

Answer: Step-by-step explanation:

35+y+y=180

2y=180-35=145

y=72.5°=72°30'

y+y+x=180

145+x=180

x=35°

Answer:

X is 35

y is 72.5 I think

sorry if wrong

Step-by-step explanation:

Answer:

2*3=6

Step-by-step explanation:

2*3 = 2+2+2 = 3+3 = 6

The expression has the approximate value between 6 and 7 will be √42 which is 6.48.

When the original integer is multiplied by itself, the result is a square root. The result generated when a quantity multiplies itself is known as the number of the square.

The expression has the approximate value between 6 and 7 clear the all the apply.

a. √36 = 6

b. √38 = 6.16

c. √42 = 6.48

d. √50​ = 7.07

The expression has the approximate value between 6 and 7 will be √42 which is 6.48.

Then the correct option is C.

More about the square root link is given below.

https://brainly.com/question/3120622

#SPJ5

Answer:

X = all #'s

why?

6x+10+10x < 4(4x+3)

Combined liked terms

16x + 10 < 16x +12

you can see that there is X on both sides and the lowest one has a +10 and the highest has a +12 so it will always be greater by 2

Answer:

undeterminate (all real numbers are a solution)

Step-by-step explanation:

1) multiply 4 by 4x and 3

6x + 10 + 10x < 16x + 12

2) added up the terms with x

16x + 10 < 16x + 12

3) add at the two members -16x

10 < 12

4) notice the 10 is ever < 12, so the inhequality is undetermined

Answer:

12 inches

Step-by-step explanation:

Given data

Height= 11 inces

Volume=  4,973.76 cubic inches.

The expression for the volume of a cylinder is

V= πr^2h

substitute

4,973.76= 3.14*r^2*11

4,973.76= 34.54r^2

r^2= 4,973.76/ 34.54

r^2= 144

Square root both sides

r=√144

r=12 inches

Answer:

10,000

Step-by-step explanation:

Highest 4 digit number: 9999

Lowest possibility: 0000

9999-0000=9999

The 0000 is 1 number

9999+1=10,000

Answer:

1000 possible combinations

Step-by-step explanation:

For the padlock combination code, each number can be one of 10 (0-9).

This means there are 10 possibilities for the first digit, 10 for the 2nd, 10 for the 3rd, and 10 for the 4th.

If we combine all these possibilities between the different digits we get:

10 x 10 x 10 x 10 = 1000 different combinations.

Hope this helped!

Answer:

0.7 : 0.35=2

It's true.....

Answer:

0

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

(-2,-5) = (x1,y1)

(18,-5) = (x2,y2)

Slope = [tex]\frac{-5+5}{18+2}[/tex]

          = [tex]\frac{0}{20}[/tex]

          = 0

Answer: [tex]x+3[/tex]

Step-by-step explanation:

Given

[tex](x+5)[/tex] is a factor of [tex]x^2+8x+15[/tex] , that is

If [tex]x^2+8x+15[/tex] is divided by [tex](x+5)[/tex], it yields 0 remainder

Solve the quadratic equation

[tex]\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5[/tex]

Therefore, [tex]x+3[/tex] is another factor of the quadratic equation.

Answer:

x+3

Step-by-step explanation:

its A or first option or (x+3)

Answer:

V= 160

Step-by-step explanation:

V= l×w×h

= 8×4×5

I hope this helps

Answer:

Correct

Step-by-step explanation:

To find the volume of a rectangular prism, the formula is [tex]lwh[/tex].

5 · 9 · 3.2 = 144

So, the answer and work are all correct.

Good luck :)

Answer:

Length of minutes hand= 1.5 feet

Height of the center of the clock from the ground= 8 feet

Step-by-step explanation:

At 12:15, the end of the minute hand of a clock is 8 feet above the ground.

At 12:15 the minutes hand is making a radius along the diameter of the clock which means it is at the center of the clock. In other the center of the clock is 8 feet above the ground.

At 12:30, it is 6.5 feet off the ground .

This tells length of the minutes hand the clock which is the distance from the ground minus the distance off the ground

= 8-6.5= 1.5 feet

The center of the clock is 8 feet from the ground.

The length of the minute hand is 1.5ft, the distance of the center of the clock from the ground is 8ft

To solve this problem, we have to apply logical reasoning here.

To calculate the length of the minute hand, we just have to subtract or find the difference between the minute and from the ground at 12:30 to the minute hand at 12:15.

This will give us

[tex]12:15 - 12:30 = 8 - 6.5 = 1.5ft[/tex]

The distance of the center of the clock from the ground can be gotten from the distance from the ground at 12:15. This is because at 12:15, the minute hand is at the same horizontal line with the center of the clock and this makes the distance of the center of the clock from the ground is 8ft.

From the above,

Learn more on clocks here;

https://brainly.com/question/1612098

Answer:

x = -4

Step-by-step explanation:

If a line has an undefined slope, it is a vertical line.

If we want a vertical line to include (-4, -5), every x-value will be -4.

This means our equation is:

x = -4

Hope this helps!

Answer:

$24.00

Step-by-step explanation:

x = per month

y = per song

t = total

Equation:

t = 14x + 0.5y

t = 14(1) + 0.5(20)

t = 14 + 10

t = 24

Answer:

y = 7x + 41

Step-by-step explanation:

the y-intercept appears to be about 40 and the only option with this intercept is the first one

Answer: The expressions 11(x+y) and 11x+11y

Answer:

x=8.17

Step-by-step explanation:

uztstskycuvkhifig

Answer:

x = 8.17

Step-by-step explanation:

We will be using pythagoras theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]

=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616

=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)

Answer:

It would be a profit  of .35 cents

Step-by-step explanation:

Answer:

it is a profit by 0.35 cents

Step-by-step explanation:

That is becuase it costed you 19.85 so you ost 19.85 and gain 35 cents becuase you are selling it for a higher price

Answer:

$442.40

Step-by-step explanation:

14x2=28

21x2=42

42+28=70

70x6.32=442.4

Answer:

240

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Answer:

hope it helps..........

Answer:

Step-by-step explanation:

Volume of liquid in the tank:

Volume of each prism:

Number of prisms needed:

Answer:

It should be 2.6

Step-by-step explanation:

141.96 ÷ 6 =23.66

23.66 ÷ 9.1 =2.6

Pythagorean theorem

in right angled triangles there is a relationship that governs the length of the tree sides. if we knows the length of any two sides, the third side maybe calculated by the use of the Pythagorean theorem.

this theorem states that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the remaining two sides.

Answer:

1654.267

Hope this helps!