Expand and simplify (x+6)(x−11)

Answer:

  they are the same

Step-by-step explanation:

The number of guests seated were, in each case, ...

  (guests per table) × (number of tables)

__

For Santa, this product is ...

  X × Y

For Mrs. Claus, this product is ...

  Y × X

The commutative property of multiplication tells you that ...

  XY = YX

The numbers of guests were the same.

Answer:

10^3/10^-4

Step-by-step explanation:

FROM MATH MULLIGAN

What is Lens Focal Length

Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens. It is not a measurement of the actual length of a lens, but a calculation of an optical distance from the point where light rays converge to form a sharp image of an object to the digital sensor or 35mm film at the focal plane in the camera. The focal length of a lens is determined when the lens is focused at infinity.

Lens focal length tells us the angle of view—how much of the scene will be captured—and the magnification—how large individual elements will be. The longer the focal length, the narrower the angle of view and the higher the magnification. The shorter the focal length, the wider the angle of view and the lower the magnification.

The magnified length of the object is 10⁻¹ m

An image is said to be magnified when its size is greater than that of the object, and it is said to be diminished when its size is smaller than that of the object.

Given that,

A microscope magnifies an object 10³ times. The length of an object is 10⁻⁴ meters. The magnified length is:

10³ × 10⁻⁴ m

We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

10³ × 10⁻⁴ m

= 10³⁺⁽⁻⁴⁾ m

= 10³⁻⁴ m

= 10⁻¹ m

Hence, the magnified length is 10⁻¹  m.

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Answer:

There are 3 terms

Step-by-step explanation:

Answer:

180

((10 + 20/2) * 12 = 180

Step-by-step explanation:

Step-by-step explanation:

Given;

b = 10cm

a = 20cm

h = 12cm

Area of trapezoid = 1/2 *h*(a+b)

                               = 1/2 *12* ( 20+10)

                               = 180cm^2  

Answer:

b) Show that c= 52 and a =18 is a solution to

tickets sold and a represents the number of

this equation (not system).

Linear equation that models the given equation is 4c + 10a = 388 where c is the number of children ticket sold and a is the number of adult ticket sold. c = 52 and a = 18 is a solution to the linear equation. Multiplying a constant on both sides of the equation won't affect its solutions.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Let number of children ticket sold be c.

Let number of adult ticket sold be a.

Cost of one children ticket = $4.

Cost of one adult ticket = $10.

Total sales = $388

Linear equation that models the above equation: 4c + 10a = 388

Checking if a = 18 and c = 52 is a solution of the equation. It can be done by substituting the values.

LHS: 4c + 10a = 4*52 + 10*18 = 388

RHS: 388

Hence, c = 52 and a = 18 is a solution to the linear equation.

Multiplying 2 to both sides of the equation:

2(4c + 10a) = 2(388)

8c + 20a = 776

Substituting c = 52 and a = 18.

8(52) + 20(18) = 776

c = 52 and a = 18 is still a solution to the linear equation.

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Answer:

x=1 y=4
x=2 y=7
x=3 y=10

Step-by-step explanation:

To find the answer, you have to plug in the x-value for the equation to find y.

You will then find out that every time x increases by 1, y increases by 3.

Answer:

32

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

i just guessed and it was right, sorry i don't have a better explanation than that

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03

Answer:

There are 2 x-intercepts

Step-by-step explanation:

The equation has 2 x variables, so the graph would have 2 x -intercepts.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use the discriminant method, we have to find discriminant of the given quadratic function, if discriminant is greater than 0, then it has two intercepts, if it is equal to 0, then it has 1 intercepts and if it is smaller than 0, then it has no x intercepts.

[tex]\qquad \sf  \dashrightarrow \:D = {b}^{2} - 4ac[/tex]

where, a, b and c are coefficients of x², x and constant term. D = discriminant

[tex]\qquad \sf  \dashrightarrow \:D = {( - 30)}^{2} - 4(22 \times 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 4(22 )[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 88[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 812[/tex]

Discriminant is greater than 0, hence it has two x - intercepts.

Answer:

9.9

Is the answer to the question

Answer:

2.25 miles

Step-by-step explanation:

1/4 of 9 is 2.25

Answer:

2.25 miles away

Step-by-step explanation:

first make 1/4 a percent

second set up a proportion

then solve the proportion and then you get 2.25 and add a label

i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry

Answer:

- 1/3

Step-by-step explanation:

m = slope of a line

Perpindicular slope = - 1/m

 = - 1/3

Let slope of that line be m

We know product of slopes of two perpendicular line=-1

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

The  term of shaquil's loan will be 29 days approximatly.

We have given that,

Principle amount (p) = $400

Rate (r)= 250% = 2.5

Interest = $80

t = time (in days) = t/365

[tex]I=prt[/tex]

[tex]r=\frac{I}{rt}[/tex]

[tex]2.5 = \frac{80\times 365}{400\times t}[/tex]

[tex]t= \frac{80\times 365}{400\times 2.5}[/tex]

[tex]t=\frac{73}{2.5}\\ \\t=29.2[/tex]

t = 29.2

t = 29 days

Therefore option (B) is correct.

Therefore the  term of shaquil's loan will be 29 days approximatly.

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Answer:

B.29 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

[tex](D)\ d(r)=7\times (0,75)^2[/tex]

[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]

[tex]so\ at\ 1\le r\le 7[/tex]

[tex]d(y)=7x(0,75)^2[/tex]

I hope this helps you

:)

Answer:

You'll need to find the area first.

18ft x 25ft= 450ft

Area is 450ft.

Area divided by $6.00 = 75

The total cost is $75 dollar for the whole room flooring.

Answer:

4

Step-by-step explanation:

45.2 x 0.035=1.582

"Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit."  -Khan Academy. org > significant figures

Answer: 1.6 is the answer

Step-by-step explanation:

45.2 x 0.035 = 1.582
After you do that step Then you'll need to round 1.582 up in the tenths, and it should be 1.6!

Hope this helps

Answer:

v = 3,463,118,874

Step-by-step explanation:

2214 * 225 = 498,510

diameter = 498,510

v = pi(d) * h

v = 3.14(498,510) * 2214

v = 1,564,191 * 2214

v = 3,463,118,874

Answer:

2.75 feet

Step-by-step explanation:

I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.

Hope this helps! :)

Answer:

5

Step-by-step explanation:

used a cal

Answer:

5

Step-by-step explanation:

-30 / -6 = 5

-6 * x = -30

(drop the negatives)

30 / 6 = 5

-6 * 5 = -30

Answer:

  $42,782.40

Step-by-step explanation:

You want to know how much more Glados paid than Shaq on a 30-year mortgage if their monthly payments were $755.99 and $637.15, respectively.

Each month, Glados paid this amount more:

  $755.99 -637.15 = $118.84

Over the 360-month life of the 30-year loan, this excess amount adds up to ...

  360 × $118.84 = $42,782.40

Glados pays $42,782.40 more than Shaq for the same loan amount.

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Answer:

x<2

Step-by-step explanation:

5<-5(3x-7)

divide by 5

1<-3x+7

3x<7-1

3x<6

x<2

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Answer:

END OF EACH YEAR

-1 442.395

-2 449.91

-3 457.56

-4 465.34

-5 473.25

-6 481.29

-7 489.481

-8 497.80

-9 506.26

-10 514.87

however, how much INTEREST

514.87-435=

79.8

Answer:

slope of a line parallel to this line= -3/8

slope of a line perpendicular to this line= 8/3

Step-by-step explanation:

The general equation of a line in terms of a and b is:

y=ax+b  where a=slope

in order to get the slope of the line we have to write its equation as the form shown above:

3x+8y=1

8y= -3x+1

y= (-3/8)x+(1/8)

so slope= -3/8

Parallel lines have equal slopes

⇒ slope of parallel line= -3/8

The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:

⇒ slope of perpendicular line= -(-8/3) = 8/3