Place the digits 1, 2, 3, 4, 5, and 6 in the circles below so that the sum of the three numbers on each side of the triangle is 12. Hint: There are a limited number of possible configurations. ​

The answer is B Parallel lines

Answer: The correct answer is Overlapping Lines

Step-by-step explanation: I just put this answer on my assignment and the answer parallel lines is wrong!!!!!

Answer:

y = 5x - 13

Step-by-step explanation:

point slope form: y - y1 = m (x - x1)

plug in: y1 = -3,  x1 = 2,  m = 5

y - (-3) = 5 (x - 2)

y + 3 = 5x - 10                                     <- simplify and expand

y = 5x - 13                                    <answer for slope intercept

equation: y = 5x - 13

I'm not sure what equation type you would like as well as your possible answer choices, but I hope this helps!

Answer:

3) The value of k is 8. 5) The slope of the line y=-17x+47/3 is -17.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(k-5)/(2-1)

m=(k-5)/1

m=k-5

k-5=3

k=3+5

k=8

----------------------

5) y=mx+b where m=slope and b=y-intercept.

Answer:

−4,2+2i√3, and 2−2i√3 is the correct answer

Answer:

y = 1/6x -4

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

m=(-5 - -3)/( -6 -6)

   = (-5+3)/ (-6-6)

       = -2/-12

       = 1/6

The slope intercept form is

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

y = 1/6 x +b

Substitute a point into the equation

-5 = 1/6(-6) +b

-5 = -1+b

Add 1 to each side

-4 = b

y = 1/6x -4

Answer:

y=1/6x-4

Step-by-step explanation:

9x - 2y = 19, 7x = 21

7x = 21

=> x = 21/7

= x = 3 —————(1)

9x - 2y = 19

=> 9(3) - 2y = 19 [From (1)]

=> 27 - 2y = 19

=> -2y = 19 - 27

=> -2y = -8

=> y = -8/-2

=> y = 8/2

=> y = 4

So, x = 3 and y = 4.

Answer:

exactly

domain

range

f(x)

Answer:

f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Step-by-step explanation:

First, to be closed means that once an operation has commenced, the result is a polynomial, just like the two original ones.

When polynomials are multiplied, exponents simply add together, and constants are multiplied. A polynomial is a finite sum of terms in which all variables have whole numbered exponents.

In this scenario, when we multiply polynomials, exponents are solely added together, and one whole number plus another is still a whole number. Similarly, constants multiplied by constants stay as constants, and constants multiplied by variables keeps it in polynomial form. (e.g. 3 * x² makes it 3x², and 3x² is fine in a polynomial).

Therefore, given these facts, f(x) and g(x) are closed under multiplication because when multiplied, the result remains a polynomial.

Answer:

8y

Step-by-step explanation:

Product means multiply

8*y

8y

Answer:

40 people who don't like any of the three drinks.

Step-by-step explanation:

It is given there are 340 people in total

Number of people like tea=150

Number of people like tea only =90

Number of people like coffee only =80

Number of people like milk only =70

Number of people like coffee and milk only = 0

We can draw Venn diagram which helps us to find the number of people who don't like any of these three drinks. I'll attach the file.

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order.

11 , 12 , 15 , 17 , 19 , 20 , 21 , 22

Median(Q2)=(N+1)/2

=8+1/2

=9/2

=4.5 th term

=(4 th term + 5 th term)/2

=(17+19)/2

=36/2

=18

therefore the median of the set of data is 18.

Answer:

√13 + 3 = x

-√13 + 3 = x

Step-by-step explanation:

y = x² - 6x - 4

0 = x² - 6x - 4

0 + 13 = x² - 6x - 4 + 13

13 = x² - 6x + 9

13 = (x-3)²

±√13 = x-3

±√13 + 3 = x

√13 + 3 = x

-√13 + 3 = x

Answer:

Step-by-step explanation:

[tex]28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}[/tex]

rewrite those 2 terms to better see what they have in common

[tex]4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3} *u^{2}[/tex]

because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative

The greatest common factor is:

[tex]4x^{4} u^{3}[/tex]

Answer:

3/4 times 3

Step-by-step explanation:

9/4 in fraction form, so it equal 2 1/4. Hope this helps

Answer:

228mm^2

Step-by-step explanation:

Answer 813.8

Step-by-step explanation:

Well 813.8 is the answer. Why? Lets talk it out if there are 75 submissions and it says Paul will accept 2/5 of the submissions so we have to do is 75- 2/5 will be 74.6 and multiply by 13 because 13 pages is in a article so we got 969.8 and then minus 156 because it asking us how many "more" pages they need so 813.8 is the answer if you subtract 969.8 and 156.

Answer:

Suppose x∈R is such that x+20x=p is a prime. Then x2−px+20=0 , and this equation has a solution x∈R if and only if p2–80≥0 . So the primes which admit no real solution are those that satisfy p<80−−√ , or 2 , 3 , 5 , and 7 . ■

Step-by-step explanation:

E? <3

The primes which accept no real solution exist as those that satisfy

p<[tex]\sqrt{80}[/tex], or 2, 3, 5, and 7.

A prime number exists as a real number greater than 1 whose only factors that exist are 1 and itself. A factor exists as an entire number that can be divided evenly into another number. The first prime numbers exist 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that contain better than two factors exist named composite numbers.

If the function f(x) = (20/x) + x = k. Suppose x∈R exists such that x+20x=p exists a prime. Then [tex]$x^2-px+20=0[/tex], and this equation contains a solution x∈R if and only if [tex]$p^2-80[/tex] ≥ 0. So the primes which accept no real solution exist as those that satisfy p < [tex]\sqrt{80}[/tex], or 2, 3, 5, and 7.

To learn more about prime number refer to:

https://brainly.com/question/145452

#SPJ2

Answer:

See explanation

Step-by-step explanation:

Let

x = number of messages Salma sent

x + 9 = number of messages Brian sent

2(x + 9) = number of messages Chang sent

Total messages sent = 55

x + (x + 9) + 2(x + 9) = 55

x + x + 9 + 2x + 18 = 55

4x + 27 = 55

4x = 55 - 27

4x = 28

x = 28/4

x = 7

Number of messages Salma sent = x = 7 messages

Number of messages Brian sent = x + 9

= 7 + 9

= 16 messages

Number of messages Chang sent = 2(x + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]

Hope this helps!!

Please mark me Brainliest

:)

Answer:

$39.055

Step-by-step explanation:

100% + 7% = 107%

[tex]\frac{y}{36.5} :\frac{107}{100}[/tex]

y · 100 = 107 · 36.5

100y = 3905.5

100y ÷ 100 = 3905.5 ÷ 100

y = 39.055

Answer:

1,099 cubic inch or 18.01 liter

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Radius (r) = 5 inches

Height (h) = 14 inches

So, Volume of can = π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

= π [tex]5^{2}[/tex] × 14

= π 25 × 14

= 350π

= 350 × 3.14

= 1,099 cubic inch

As 1 liter = 61.02 cubic inch

So, 1,099 ÷ 61.02 = 18.01 liter

Answer:

law of cosines states c^2=a^2+b^2-2abc

b^2=26^2+24^2-2(26×24)cos 134°

b^2=676+576-1248cos134°

cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

b^2=1260.33

b=√1260.33

b=35.50

Answer:

1/8 of a sandwich

Answer:

Card B = 8,666 bottles collected

Card C = 300,000 and 200

Step-by-step explanation:

Card B = 1,238 * 7 is 8,666

7 days in a week

Card C = 270,240 to the nearest hundred thousand is 300,000

240 to the nearest hundred is 200

Answer:

2/6 =1/3

Step-by-step explanation:

2/1 = 2

6/2 = 3

Answer:

7^4

Step-by-step explanation:

7^12  / 7^8

We know that a^b / a^c = a^(b-c)

7^(12-8)

7^4

Answer:

7^4

Step-by-step explanation:

7^(12 - 8)

7^4

Bye!

Have a nice day! :-)

Answer:

32 square units.

Step-by-step explanation:

The shape is made up of three parts, a rectangle in the middle, and two identical triangle on each side.

Rectangle:  base = 2, height 8, area = 16

Each triangle: (vertical) base = 8, (horizontal) height = 2

Area = base * height /2 = 2*8/2 = 8

Total area = 8 + 16 + 8 = 32

Answer:

false

Step-by-step explanation:

used cars can often have higher interest rates