What is the distance between the points (3,-7) and (6,2)

Answer:

12 boys

Step-by-step explanation:

30 in total - 18 girls = x boys

30 - 18 = 12 boys

Answer: 2/8

Step-by-step explanation:

Think of it as 6 - 4. We know that 6 - 4 is 2, so the same thing apple is to 6/8 - 4/8. So, you have 2/8!

6(x-2) > 15

6x - 12 > 15

6x > 27

x > 27/6

Hope it helps!

Answer:

x>4.5

Step-by-step explanation:

6(x-2)>15

We do this is as if it were an equation:

6(x-2)>15

Expand the brackets:

6x-12>15

Add 12 to both sides:

6x-12+12>15+12

Simplify:

6x>37

Now we divide both sides by 6:

6x÷6>37÷6

x > 4.5

If we put 5 into the original equation as it is more than 4.5, we get:

6(5-2)>15

We can simplify the brackets or expand first:

Simplifying the brackets first:

6(3)>15

18>15 ✅

Expanding first:

6(5-2)>15

30-12>15

18>15 ✅

Answer:

7 dollars for one box is the answer

Answer:

Here ,

we can see that with each bounce , the height reduces to half .

therefore ,

the fourth bounce will have a height of 6/2 = 3

and ,

the fifth bounce will have a height of 3/2 = 1.5

hope helpful ~

[tex] \\ [/tex]

Answer:

s>1

Step-by-ste:p explanation:

the internet :)

Answer:

y = 10, x = 4; each side = 20 units

Step-by-step explanation:

In an equilateral triangle, all the sides & angles are equal to each other. So,

=》AC = AB = BC

=》20 = 2y = 5x

Now,

■ AC = AB

20 = 2y

20/2 = y

10 = y

■ AC = BC

20 = 5x

20/5 = x

4 = x

Hope it helps ⚜

Etruscsn small mammals on earth the Bumblebee bat

Answer:

R30

Step-by-step explanation:

You would subtract R150 from R180 to get the profit.

Hope this helps :)

Answer:

Step 1: Divide 300 by 200 to get the number as a decimal. 300 / 200 = 1.5

Step 2: Multiply 1.5 by 100. 1.5 times 100 = 150. That's all there is to it!

Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 300 by 100 and then divide the result by 200, you will still come to 150!

Step-by-step explanation:

hope it helps

Answer:

They are not equal

Step-by-step explanation:

So, lets start by simplifying the expressions

Expression 1:

4s + 2

Expression 2:

s x s x s x s + h x h

s^4 + h^2

We have two different expressions now, they don't seem to be equivalent, since in the first one, we have 4 x s + 2, but in the second one, it is s x s 2 times added with h x h.

If you have any questions, let me know in the comments. If you could mark this answer as the brainliest, I would very much appreciate it! :D

Answer:

[tex]\lbrace 5,\, -3,\, -15 \rbrace[/tex].

Step-by-step explanation:

The domain of a function includes all the values that this function could accept as inputs. The function would give a (possibly non-unique) output for each of these inputs. The range of this function over this particular domain would be the set of all the possible output values from this function.

In this question, the domain of this function is [tex]\lbrace -4,\, 0,\, 6 \rbrace[/tex], meaning that this function could accept [tex]x = (-4)[/tex], [tex]x = 0[/tex], and [tex]x = 6[/tex] as possible inputs.

In other words, the possible output values of this function over this domain are [tex]5[/tex], [tex](-3)[/tex], and [tex](-15)[/tex]. Hence, the range of this function would be the set [tex]\lbrace 5,\, -3,\, -15 \rbrace[/tex].

Answer:

  a) f(x) = x(x +4)(x -5)

  b) g(x) = (x -6)(x -2)(x^2 +2x +4)

  c) h(x) = (x +7)(x -3)(x -4)

Step-by-step explanation:

To factor completely generally means to find binomial factors that have integer constants. It is helpful to be familiar with the idea of "greatest common divisor", and what the product of two binomial factors looks like. In particular, there are a couple of special forms that can be useful. One of them is the difference of squares. Another is the difference of cubes.

  a² -b² = (a -b)(a +b)

  a³ -b³ = (a -b)(a² +ab +b²)

In the general case, the product of binomial factors is ...

  (x -a)(x -b) = x² -(a+b)x +ab

The coefficient of the x-terms is the sum of the binomial constants; the constant term is their product.

__

The given cubic has no constant term. That is, every term has a factor of x, so that is one of the factors.

  f(x) = (x)(x^2 -x -20)

The given factor of x+4 tells you the constant in the other factor is -20/4 = -5.

  f(x) = x(x +4)(x -5)

__

We observe that the ratios of pairs of coefficients are ...

  1 : -6 and -8 : 48 = 1 : -6 . . . . . pairs of coefficients have the same ratio

That means we can factor each pair of terms:

  g(x) = x^4 -6x^3 -8x +48

  g(x) = x^3(x -6) -8(x -6) = (x^3 -8)(x -6)

Using the difference of cubes formula, the factorization is ...

  g(x) = (x -2)(x^2 +2x +4)(x -6)

Note: the quadratic factor has irrational complex roots.

__

The quadratic factor of this cubic can be found by dividing it by the given factor. That is most easily accomplished using synthetic division. Explaining how to do that is beyond the scope of this answer. The first attachment shows that the resulting factorization is ...

  h(x) = (x +7)(x^2 -7x +12)

The quadratic is factored by finding two factors of 12 that have a sum of -7. The positive sign of their product (12) tells you both will be negative.

  12 = (-1)(-12) = (-2)(-6) = (-3)(-4)

The pair of factors with a sum of -7 is -3 and -4. These are the constants in the remaining binomial factors:

  h(x) = (x +7)(x -3)(x -4)

_____

Additional comment

A graphing calculator can be an invaluable tool for factoring higher-degree polynomials. The graph of h(x) in the second attachment, for example, shows you the zeros are -7, 3, 4, so the factors are (x+7)(x-3)(x-4).

For a function like g(x), you can find the real zeros from the graph, then you can find the quadratic by factoring out the associated factors. The vertex of the quadratic curve helps you write the expression for that. (see the third attachment)

  g(x) = (x -2)(x -6)((x +1)^2 +3) . . . . quadratic factor in vertex form

  g(x) = (x -2)(x -6)(x^2 +2x +4)

Answer:

Step-by-step explanation:

M = miles

.25M + 160 = 360.00

.25  = 360 - 160

200/ .25

M = 800 miles

yes we are you doing today I think I have a

Answer:x=9

Step-by-step explanation:so this is a isosceles triangle so that means the two sides are equal so set up the equation as 3x-7=20. And by moving the 7 over it will be 3x=27 and then you want you separate the x and to do that you have to divide x and 27 by 3 and you answer is x = 9

Hey there!

3x - 7 = 20°

ADD 7 to BOTH SIDES

3x - 7 + 7 = 20 + 7

CANCEL out: -7 + 7 because it give you 0

KEEP: 20 + 7 because it help solve for the x-value

NEW EQUATION: 3x = 20 + 7

SIMPLIFY IT!

3x = 27

DIVIDE 3 to BOTH SIDES

3x/3 = 27/3

CANCEL out: 3/3 because it give you 1

KEEP: 27/3 because it help solve for the x-value

NEW EQUATION: x = 27/3

SIMPLIFY IT!

x = 9

Therefore, your answer is: x = 9

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The approximate value of x will be approximately equal to 3.4

The formula for calculating area of rectangle is expressed as:

A  = lw

Ar = (3x-1)(x+2)

Ar = 3x^2+6x-x-2

Ar = 3x^2 + 5x - 2

For the circle

Ac = πr²

Ac = 3.14(x-3)²

Ac = 3.14(x²-6x+9)

Ac = 3.14x² - 18.84x + 28.26

If the area are equal;

3x² + 5x - 2 = 3.14x² - 18.84x + 28.26

3.14x² - 3x² - 5x - 18.84x + 30.26 = 0
0.14x²-23.84x+30.26 = 0

On factorizing the equation, the approximate value of x will be approximately equal to 3.4

Learn more on area of rectangle here; https://brainly.com/question/25292087

Answer:

16

Step-by-step explanation:

Because of the rule of PE(MD)(AS) the following would be executed like this

8 / 2 (2 + 2)

8 / 2 x 4

4 x 4

16

Therefore, the answer would be 16.

EDIT: This answer was previously incorrect but has been fixed. Calculator confirmed as well. Thank you User emmab2457 in the comments for bringing this to my attention.

The reason the answer is not 1 is because in the term PE(MD)(AS) the Multiply/Divide construct as well as the Addition/Subtraction can be switched, and once reaching this step the equation is solved from Left to Right, no matter if division is before multiplying.

16. a
17. a
18. d
19. b
20. c
21. c
22. d
23. c
24. (please zoom in the circle so i can see the radius)

Answer:

Down below

Step-by-step explanation:

Area is 270 metres and perimeter is 66.  I got the area by multiplying the length and width (15 and 18).  I got the perimeter by multiplying 15 by 2 and 18 by 2.  I do this because this is a rectangle and the sides are not all even.  So, two sides would be 15 and two sides would be 18.  I multiply 18 by 2 and 15 by 2 and add the sums together to get 66.

If I'm wrong, I'm sorry.  I'm fairly certain that this is right.

Answer:

-5.7 + (-4.2) is your question and -9.9 should be the answer for you

Step-by-step explanation:

hope this helps please mark me brainliest

Answer:

9/4 is as a fraction ..

I hope it will help you .

Answer:

5:05

Step-by-step explanation:

Since she starts at 4:30 for 35 minutes, it is going to be 35 minutes after 4:30. Which is 5:05.

Your welcome, and feel free to comment if you have any questions! :D

Answer:

i think 8cm is triangle area

Step-by-step explanation:

because i saw that 8cm on the side so I told 8cm the triangle.

Answer:

I think I'm correct I don't know but I think the answer is B

Answer:  -14

Step-by-step explanation:

The multiplicative inverse is the reciprocal of the number.

1/(-1/14) = -14

Answer:

-14

Step-by-step explanation:

one of the multiplicative inverses is the also the reciprocal of the number -14