Use the GCF and distributive property to find the expression that is equivalent of 48+56

Answer:

13.7

Step-by-step explanation:

All you need to do is divide by 2, hope this helped!

Answer:

QM = 13.7

Step-by-step explanation:

Step 1:

QP ÷ M = QM      Def. of ∠ bisector

Step 2:

27.4 ÷ 2      Input Values

Answer:

13.7      Divide

Hope This Helps :)

Answer:

ab = 280

or

a = 280/b

Step-by-step explanation:

Inverse variation is of the form

xy = k

Since we have a and b as our variables

ab = k

20 *14 = k

280 = k

ab = 280

Sometimes they write it as

a = 280/b

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

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

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

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

Part (c)

The following four points are on the unit circle

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

Answer:

distance is 5

midpoint is (1/2,-2)

Step-by-step explanation:

Answer:

it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0

Answer:

9.6

Step-by-step explanation:

60 pounds of pressure is needed to break a 5-foot-long board,

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Richard uses 24 pounds of pressure to break a 2-foot-long board.

How many pounds of pressure is needed to break a 5-foot-long board,

we have to find.

i.e. 24/2 * 5

   =12*5

  =60

hence, 60 pounds of pressure is needed to break a 5-foot-long board,

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Answer:

X= (-40, 0)

Y= ( 0, 15

Step-by-step explanation:

Goodluck :)

Step-by-step explanation:

Ur qsn is so confusing can you plz rewrite it

Step 1:

[tex]25+10x+x^2[/tex]

Let's split split 10x to factorise

Step 2:

[tex] = 25 + 5x + 5x + {x}^{2} [/tex]

Step 3:

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

Step 4:

[tex] \green{= (5 + x)(5 + x)✓}[/tex]

Best regards!

★Dull Star★

Answer:

(x+5)(x+5)

Step-by-step explanation:

Let's arrange it in a proper manner first of all.

Step: Spilt 10x in order to factorize it.

x² + 10x + 25

0r, x² + 5x + 5x + 25

Step: Make two pairs from equation

x² + 5x + 5x + 25

0r, x(x+5) + 5(x+5)

Step: Take common thing from the given equation

x(x+5) + 5(x+5)

0r, (x+5)(x+5)

Hence, (x+5) and (x+5) are the factor for the given equation.

Answer:

x = 29

Step-by-step explanation:

8 + x = 37

Subtract 8 from each side

8-8 + x = 37-8

x = 29

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

Answer:

$108

Step-by-step explanation:

12 x 9 = 108

$108/9 hours

Answer: D

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

(2x + 3)(2x - 3)(x - 2).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4x³ - 8x² - 9x + 18

We will check the expression in factor form:

A.

(2x + 3)(2x - 3)(x - 2)

(2x + 3) (2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x + 6x² - 12x - 9x + 18

4x³ - 8x² - 9x + 18 ____(1)

B.

(2x + 3)(2x + 3)(x - 2)

(2x + 3) (2x² - 4x + 3x - 6)

4x³ - 8x² + 6x² - 12x + 6x² - 12x + 9x - 18

4x³ + 4x² - 15x - 18 ____(2)

C.

(2x + 3)(2x - 3)(x + 2)

(2x + 3) (2x² + 4x - 3x - 6)

4x³ + 8x² - 6x² - 12x + 6x² + 12x - 9x - 18

4x³ + 14x² + 3x - 18 ____(3)

D.

(2x - 3)(2x - 3)(x - 2)

(2x - 3) ( 2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x - 6x² + 12x + 9x - 18

4x³- 20x² + 33x - 18 ____(4)

From (1), (2), (3), and (4) we see that,

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

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Answer:

60 pages per day.

Step-by-step explanation:

300 ÷ 5 = 60.

Answer:

(x+4)⋅(2x−7)

Step-by-step explanation:

Combine the like terms.

Answer:

3 7/12

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

1. [tex] m = slope = \frac{12}{7} [/tex]

2. [tex] y = \frac{12}{7}x [/tex]

3. Domain: 0≤x≤7

Range: 0≤y≤12

Step-by-step explanation:

1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:

C(0, 0),

D(7, 12)

[tex] Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7} [/tex]

2. Equation of the using the slope-intercept formula, [tex] y = mx + b [/tex], where,

[tex] m = slope = \frac{12}{7} [/tex]

b = y-intercept, which is where the line CD cuts the y-axis = 0

Plug in the values for m and b into the formula to get the equation of the line:

[tex] y = \frac{12}{7}x + 0 [/tex]

[tex] y = \frac{12}{7}x [/tex]

3. The domain for C to D part = all x-values = 0≤x≤7

The range = all y-values = 0≤y≤12

Answer:

Bernard ate a little less than Two-thirds of the pizza.

Step-by-step explanation:

i took the test

Answer:

c 2/3

Step-by-step explanation:Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?as u can see it said HOW many did he eat he ate 2/3 of it your welcome friend!

Answer:

1. S

2. G

3. I

4. O

5. P

6. D

7. C

8. F

9. J

10. Q

11. E

12. K

13. R

14. A

15. B

16. N

17. M

18. L

19. H

Step-by-step explanation:

4. O

→ 3 is a coefficient of 3x

5. P

→ 3 is a common factor in the expression 3x+9

6. D

→example of a constant term is 1,3,10

7. C

→ [tex]cosx=\frac{adjacent}{hypotenuse} =\frac{A}{H}[/tex]

8. F

→[tex]x^{2} -4[/tex] will be factorised as (x-2)(x+2)

9. J

→ example of an expression is [tex]2x+9[/tex]

10. Q

→ factors of 3 are 3×1.

11. E

→ example of factoring is [tex](x+2)(3x+4)[/tex]

12. K

→ example of a factored completely is [tex]2x(x+y)[/tex]

14. A

→example of a polynomial is [tex]3yx^{3} +xy^{2} -2x+9[/tex].

15. B

→ example of a quadratic expression is [tex]x^{2} +6x-9[/tex].

17. M

→ [tex]sinx=\frac{opposite}{hypotenuse} =\frac{O}{H}[/tex]

18. L

→ [tex]tanx=\frac{opposite}{adjacent} =\frac{O}{A}[/tex]

19. H

→ example of a term is 2x,3,40

Answer: 1:3:4:2

Step-by-step explanation: Cause it is :D

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Answer:

what do you need to to know 1) what kind of function its or 2) whats the answer of y and/or x

Answer:

6 times 6 = 12 + 4 times 4 = 16 so 12 + 16 =28

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.

Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.

Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.

Table:

12 AM                      6  

3 AM                        10

6 AM                        6  

9 AM                        2  

12 PM                       6  

from the general formula of wave

y = A sin(bx + c)

Substituting values in the equation from the graph attached below:

6 = A sin(0*b + c)......(1)

10 = A sin3b + c...(2)

6 = A sin6b + c......(3)

2 = A sin9b +c........(4)

Since -c/b is a phase shift of the graph

Thus

-c/b = 6

c = -6b

from equations 2 and 1

2* 6 = Asin(-3b) = -Asin3b

2 * 6 = Asin(-6b) = -Asin6b

2* 6/6 =sin6b/sin3b

1 = Cos3b

Thus b = π/6

from substitution in equations 3

6 = A sin6b + c

=> 6 = Asin 6* pi/6  + c

=> c = 6

[tex]\begin{table}[]\begin{tabular}{ll}12 AM & 6 \\3 AM & 10 \\6 AM & 6 \\9 AM & 2 \\12 PM & 6 \end{tabular}\end{table}[/tex]from substitution in equations 2

10 = A sin3b + c

A = 4

therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.

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Answer:

a

The  student does have enough evidence to refute the college claim

b

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Step-by-step explanation:

From the question we are told that

The average class size is [tex]\mu = 32[/tex]

The sample size is [tex]n = 40[/tex]

The sample mean is [tex]\= x = 34.8[/tex]

The standard deviation is [tex]\siigma = 99[/tex]

The significance level is [tex]\alpha = 0.10[/tex]

The null hypothesis is [tex]H_o : \mu \le 32[/tex]

The alternative hypothesis is [tex]H_a : \mu > 32[/tex]

Generally the test statistics is mathematically represented as

[tex]z =\frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }[/tex]

=> [tex]z = \frac{34.8 - 32}{ \frac{99 }{\sqrt{99} } }[/tex]

=> [tex]z = 0.1789 [/tex]

Generally the p-value is mathematically represented as

[tex]p- value = P (Z > 0.1789)[/tex]

From the z- table

[tex] P (Z > 0.1789) =0.42901 [/tex]

So

[tex]p- value = 0.42901 [/tex]

So from the calculation we can see that [tex]p- value > \alpha[/tex] so we fail to reject the null hypothesis

This means that the student does not have enough evidence to refute the college claim

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is [tex]y = -4 x[/tex]

Step-by-step explanation:

From the question we are told that

The line is [tex]y = \frac{1}{4} x + 8[/tex]

The point is P(0,0 )

Generally the equation for a line is [tex]yn = mx + c[/tex]

Now comparing this with the given equation we see that

[tex]m =\frac{1}{4} = slope[/tex]

[tex]C =8 = intercept [/tex]

Generally the slope of the perpendicular to the given line is mathematically evaluated as

[tex]m_1 = - \frac{1}{m}[/tex]

=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]

=> [tex]m_1 = -4 [/tex]

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

[tex]y = -4 x[/tex]

Answer:

2 + 6i

Step-by-step explanation:

It’s the same numbers with an opposite sign

The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]

The conjugate of a complex number a + bi is a - bi. The conjugate is gotten by changing the sign of the imaginary part of the complex number.

The modulus of a complex number a + bi is:

|a + bi| = [tex]\sqrt{a^2+b^2}[/tex]

The conjugate and modulus of 2 – 6i is:

Conjugate of 2 - 6i = 2 + 6i

|2 - 6i| = [tex]\sqrt{2^2+(-6)^2}=\sqrt{40}[/tex]

The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]

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