How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?

Answer:

4.62 cm to nearest hundredth.

Step-by-step explanation:

If the parallel sides are x and y then:

x + y = 2*8 = 16

x + y = 16

If we drop a perpendicular line from one of the upper points on the trapezoid we have the height.  Let the upper point be C and the point on the base be A. Let the point on right of the base be B.

AC is the height of the trapezoid.  AB is the baseline of the triangle CAB.

In triangle CAB the angle B is 30 degrees.

As this is a 30-60-90 degree triangle

AC/AB = 1/√3 so AC = AB/ √3.

As the trapezoid is isosceles:

AB = x + 0.5(y - x)

AB = 0.5x + 0.5y

So AC = 1 /√3 (0.5x + 0.5y)

           = 1 /√3 (0.5x + 0.5(16 - x))   (Substituting for x)

            = 1 /√3 (0.5x + 8 - 0.5x)

             =8 / √3    

.              = 4.6188 cm

Answer:

148302

Step-by-step explanation:

Answer:

148302

Step-by-step explanation:

Because that's the answer

Answer:

x=-1/2

Step-by-step explanation:

2x+2=4x+3

-1=2x

x=-1/2

we need the image to solve the problem

Answer:

you would multiply by 3.

Step-by-step explanation:

Hi there!

In order to solve this system of equations through elimination, the sum of either the x or y values will have to equal 0. To eliminate x, you would have to find what, when added, will make the sum 0. In this case, a positive 9 will cancel out the -9 and give us 0. All we have to do is multiply the top equation by 3 so that the x value is equal to 9x!

I hope this helps!

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

Answer:

a) f(n) = 11 + f(n - 1)

Step-by-step explanation:

f(2) = 11 + 4 = 15

f(3) = 11 + 15 = 26

f(4) = 11 + 26 = 37

f(5) = 11 + 37 = 48

The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:

Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

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Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ [tex]\frac{23}{5}[/tex] = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

The number that has the same absolute as 23 is -23.

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,

An absolute number x is denoted by |x|

If x = -x,

|-x| = x

Now,

|23| = 23

|-23| = 23

So,

-23 has the same absolute value as 23.

Thus,

-23 is the number.

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Answer:

There are 55 rooms

Step-by-step explanation:

There are 165 beds in the hospital. Each room contains 3 beds. In order to find the number of beds per room, take the total number of beds and divide it by the number of rooms in each bed. 165/3=55. There are 55 rooms in the hospital, all containing 3 beds.

Hope this helps!

Answer:

I think it is A hope this helps

Step-by-step explanation:

Answer:

  -3+ √3 or -3- √3

Step-by-step explanation:

Step-by-step explanation:

To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.

Answer:

Base = Amount, and solve for the unknown numbers.Step-by-step explanation:

Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

Answer:

y > - x - 4

Step-by-step explanation:

1) Find the equation of the line

2) The equation of the line is y = - x - 4

3) Identify where the graph is shaded

4) It is shaded above and to the right of the line

5) This means that it is more positive/ greater than the unshaded areas

6) Switch the = sign to > to signify the inequality

7) All done!

Step-by-step explanation:

the delimiter line is going through the points (-4, 0) and (0, -4).

the line function

y = mx + b

m is the slope of the line, b is the y-intercept (the y value when x = 0).

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.

so, for the 2 found points :

x changes by +4 (from -4 to 0)

y changes by -4 (from 0 to -4).

the slope m is then

-4/+4 = -1

and the y-intercept is -4 (as explained).

so, the line is

y = -x - 4

and the graphic says that all values greater than our equal to the line values are valid, so

y >= -x - 4

Answer:

∠ B = 116°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ B + 28° + 36° = 180°

∠ B + 64° = 180° ( subtract 64° from both sides )

∠ B = 116°

Answer:

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

so

180 - 36 - 28 =

116°

Answer:

300

Step-by-step explanation:

[(-4 2/7) x (-18)] x (-3 8/9) x (-1)

= [-30/7 x -18] x -35/9 x -1

= 540/7 x -35/9 x -1

= -300 x -1

= 300

Answer:

check if the question I used is right or not

The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As we know,

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

From the graph of two parallel lines:

r ║ s

The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

Learn more about the distance formula here:

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Answer:

A

Step-by-step explanation:

After doing long division we then know that 2,952 ÷24 = 123

We 1st follow pemdas knowing this we solve the equations in parenthesis 1st

(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)

2,400 ÷ 24 = 100

480 ÷ 24 = 20

72 ÷ 24 = 3

We can then rewrite the equation as

100 + 20 + 3   We then solve left to right

100 + 20 = 120

120 + 3 = 123

Answer:

  b.  256 m²

  d.  324 cm²

  f.  35 in²

Step-by-step explanation:

The shaded area is the difference between the areas of the outer rectangle and the inner one:

  A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²

__

The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:

  A = (27 cm)(12 cm) = 324 cm²

You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.

__

The triangle area formula applies.

  A = 1/2bh = 1/2(4" +10")(5") = 35 in²

_____

Additional comment

The formula for area of a rectangle is ...

  A = LW . . . . . the product of length and width

function!

Step-by-step explanation:

this was a function that the answer (y) is equal to 3

and the X is equal to (-2)

Answer:

This is about a function evaluated at a particular point.  You don't get a formula for the function, but there is enough information to say that the ordered pair (-2, 3) is part of the function.

The function's name is f.

The -2 in parentheses is a value for the independent variable ("input"), often designated by the variable  x.

The 3 is the corresponding value of the dependent variable ("output"), often designated by  the variable y.

The expression can be read as:

"f of negative two is equal to 3"

"the value of f at -2 is 3"

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

Answer:

A (2,2) B (4, -2) C (-4,0)

Step-by-step explanation:

K = 2

K is the scale factor so the y and x distance between the points will double

just take to coordinates and multiply them by 2

A 1,1 new 2,2

B 2, -1 new 4,-2

C -2,0 new -4,0

Answer:

-7

Step-by-step explanation:

a=9 a2=2 a3=-5 a4=-12

d = a4-a3 ,a3-a2, a2-a.

so:

d = -12-(-5) =-12+5 =-7

also;

d = -5-2 = -7

and

d= 2-9 =-7

so the common difference is -7

Answer:

-7

Step-by-step explanation:

We know that

Common difference = a2 - a1

=> 9 - 2

=> -7

Answer:

a. $38.25, b.$40.5, c. Trey

Step-by-step explanation:

A percentage can also be represented as a proportion out of 1; for example, 30 percent is .30, and 100 percent will be 1.00.

a. If Trey is paying 15 percent off a price, that means he is still paying 85 percent, and recall what I said earlier, about 85 percent is a .85 proportion. So now we multiply the price by the proportion he is paying .85*45 = $38.25

b. We want to do the same process we did in part a. So we have 1 - .25 =.75 to get the proportion of the original price Evan will be paying. Now we multiply .75*54 = $40.50.

c. Trey got the better deal because he ended up paying less; hence $38.25 is less than that of $40.50

Answer:

The domain corresponds to the values of the x and the range to the values of the y. So:

D: {-3, 0, 3}

R: {-6, 0, 6}

Answer:

[tex]\huge\boxed{A.}[/tex]

Step-by-step explanation:

Domain:

"Set of values on x-axis"

Domain = {-3,0,3}

Range:

"Set of values on y-axis"

Range = {-6,0,6}

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!