Ballio is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 9 inches x 14 1/3 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/3 inches. How many total square inches of construction paper does Ballio need for his project?

Answer:

A: 10x^2 +53x +63   B: degree 2; quadratic trinomial  C: the result of the multiplication of polynomials is a polynomial

Step-by-step explanation:

Part A:

The area is the product of length and width. The distributive property is useful for simplifying the expression.

 A = LW

 A = (2x +7)(5x +9) = 2x(5x +9) +7(5x +9)

 A = (10x^2 +18x) +(35x +63)

 A = 10x^2 +53x +63 . . . . area expression

Part B:

The highest power of x is 2. There are 3 terms. A degree-2 polynomial is called a "quadratic." A 3-term polynomial is called a "trinomial."

degree 2

quadratic trinomial

Part C:

In part A we multiplied two polynomials and came up with a result that is a polynomial. This suggests polynomials are closed with respect to multiplication.

I hope this helps!!

Using algebra tiles to represent the polynomial x² + 18x + 80 would be problematic due to the large number of tiles required.

Algebra tiles are mathematical manipulatives that help students better understand algebraic thinking patterns and concepts. These tiles have shown to be useful as physical examples

Using algebra tiles to represent the polynomial x² + 18x + 80 would be problematic due to the large number of tiles required.

Due to a large number of tiles. Hence algebra tiles not be a good tool to use to give a factor.

To learn more about the algebra tiles refer to the link;

https://brainly.com/question/22560523

Answer:

Sample response: Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

Step-by-step explanation:

Answer:

14 [m].

Step-by-step explanation:

1) in the square ABCD AC is diagonal, its length can be calculated as AB*√2;

2) the length of AB can be calculated:

AB=√Area(ABCD); ⇒ AB=√98;

Then

3) AC=√98*√2=14 [m].

Answer:

[tex]14\:m[/tex]

Step-by-step explanation:

ABCD is a square. (Given)

[tex] \implies \: A(square) = \overline{AB} ^{2} \\ \\ \implies \: 98 = \overline{AB} ^{2} \\ \\ \implies \: \overline{AB} = \sqrt{98} \\ \\ \implies \: \overline{AB} = \sqrt{ {7}^{2} \times 2} \\ \\ \implies \: \overline{AB} = 7\sqrt{ 2}\\\\\implies \overline{AC}= \overline{AB} \times \sqrt 2 \\\\\implies \overline{AC}= 7\sqrt{ 2} \times \sqrt 2\\\\\implies \overline{AC}= 14\: m[/tex]

Answer: The answer is B.

Step-by-step explanation:

A) 22cm

( divide the length value by 100)

22/100 which gives you:

=0.22m

B) 180km

( multiply the length value by 1000)

180×+100 which gives you:

=180000m

C) 300mm

( divide the length value by 1000)

300/1000 which gives you:

=0.3m

The regression solved shows that the predicted selling price for a home that is 12 years of age is $443747.

From the complete information, the regression equation is given as:

y = 108597.37 - 580.687 × age + 86.82 × living areas + 31261.9127 × bedroom

Therefore, the predicted selling price will be:

= 108597.37 - 580.687 × 12 + 86.82 × 2500 + 31261.9127 × 4

= $443747

In conclusion, the selling price is $443747.

Learn more about regression on:

https://brainly.com/question/25987747

Answer:29x ^442

Step-by-step explanation:

Answer:

1149125

Step-by-step explanation:

29x125x317

=29*x125*x317

=29*x442

=29x442

Answer:

137.25 units²

Step-by-step explanation:

A = bh/2

A = (15.25)(18)/2

A = 274.5/2

A = 137.25 units ²

I hope this helps!

Answer:

8/17

Step-by-step explanation:

A cosine of an acute angle in a right triangle is equal to the length of the shorter side divided by the length of hypotenuse.

5/4 or 1 1/4

rewrite 5 as 5/1 and then multiply 5/1 by 1/4

(5*1)/(1*4) = 5/4 = 1 1/4

Answer: Hiya!

Simplify the expression.

Step-by-step explanation:

Mixed Number Form:

✓ 1 1/4

Exact Form:

✓ 5/4

Hopefully this helps!

- Matthew <3

Answer:

lateral area = 1892.1 m²

Step-by-step explanation:

The lateral surface area of the square based pyramid is required.

lateral surface area = 1/2 × perimeter × slant height

we have to find the slant height using Pythagoras theorem

base = 35

height = 27.03

slant height² =  17.5² + 27.03²

slant height² = 1036.8709 + 424.36

slant height² = 1461.2

slant height = √730.61

slant height = 27.0297983714

slant height ≈ 27.03 m

lateral area = 1/2 × perimeter × slant height

lateral area = 1/2 × 35 × 4 × 27.03

lateral area = 3784.200/2

lateral area = 1892.1 m²

Answer:

1:52

Step-by-step explanation:

The clock reads 1:45 so simply add 7 minutes to that

Answer: 7 minutes

Step-by-step explanation:

The answer is in the first statement :)

Answer:

The answer is Cubic Meter

Answer:

<-1,-7>

Step-by-step explanation:

You move the z line so it goes southwest instead of northeast, since you are subtracting it. The x range is 8 and y range is 2, so count it from 4,-4. 8 points to left and 2 points down.

Answer: y can be equal to the gym membership fee you pay for 4 months If $24 is the month 1 deposit and × is the fixed charges for subsequent months.

Step-by-step explanation: Month 1: y=24

month 2:y=24+×

Month Month3: y= 24+2×

Month 4:y=24+3×

Answer:

2nd option

Step-by-step explanation:

7x - y =  7 ( multiply through by - 1 )

- 7x + y =- 7 ( add 7x to both sides )

y = 7x - 7 → (1)

7x² - y = 7 → (2)

substitute y = 7x - 7 into (2)

7x² - (7x - 7) = 7 ← distribute parenthesis on left side

7x² - 7x + 7 = 7  ( subtract 7 from both sides )

7x² - 7x = 0 ← in standard form

7x(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

7x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) for corresponding values of y

x = 0 : y = 7(0) - 7 = 0 - 7 = - 7 ⇒ (0, - 7 )

x = 1 : y = 7(1) - 7 = 7 - 7 = 0 ⇒ (1, 0 )

Answer:

B. (1, 0) and (0, –7)

Step-by-step explanation:

I took the algebra exam

The solution of the given expression  (x − 2)(x 10) = 13 are x=3 or x=-11. So the option A is correct.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

(x-2)(x+10) = 13

Subtract 13 from both sides

x²+8x-20-13=13-13

x²+8x-33=0

Factorized

(x-3)(x+11)=0

x-3=0 or x+11= 0

x=3 or x=-11

Thus, The answer is A

Learn more about quadratic equations;

brainly.com/question/13197897

Answer:

A) 3

Step-by-step explanation:

Answer:

4

Step-by-step explanation: 2 shows 2 times.  3 shows 2 times. 4 shows 4 times. So 4 is more common than the others.  So your answer would be 4

Answer:

Yu ran farther by the end of the week.

Step-by-step explanation:

Fraction addition

[tex]\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}[/tex]

                   Convert mixed fractions to improper fractions

                                        [tex]\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles[/tex]

[tex]\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}[/tex][tex]\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}[/tex]

                                      [tex]\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles[/tex]

Yu ran farther by the end of the week.

Answer:

-4/3 or -1 1/3

Step-by-step explanation:

16x+12=0

16x=-12

x=16/-12

Answer:

35 units ^2

Step-by-step explanation:

First, draw lines or count how many units are between each point. Don't go diagonal, just up/down or left/right, like from point B to point A.

So I counted 5 units from point B to A, 5 units from C to D, 7 units from A to D, and 7 units from B to C.

Now, you choose two sides - one that goes up/down and one that goes left/right. This is your base and your height.

So you should have 5 and 7. Now, the equation of a rectangle is base times height (b* h) so you multiply 5 and 7 together to get your answer, 35 units ^2

I hope this helps :)

Answer:

A is the correct answer

Step-by-step explanation:

The reason is that in set B, you are multiplying by 5 at each step, in set A you are adding 25 at each step which is clearly slower. to check this out try to determine the 10th value of the two functions

Answer:

How to Celebrate Chinese Language Day.

Celebrate Chinese Language Day by trying to learn Chinese! Online programs or colleges courses can give you plenty of opportunities to learn the Chinese language in all of its complexities.

If you know Chinese, then put it on your resume and try and use it in your work to see what connections you can make with others. I hope I could help

Answer: Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

Step-by-step explanation:

Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.

In a theater there will be 3 to 4 shows for a movie or different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

Consider a ticket cost of 200rs. For 100 people in a show ,

                              Cost = 200 × 100

                               Cost = 20,000.

Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.

Answer:

7. 22 2/5   8. 10 8/10

Step-by-step explanation:

7. 7x3=21 + 7x1/5= 22 2/5

8.  2x5=10 + 2x4/10= 10 8/10

Answer:

The height is [tex]\sqrt{106}[/tex] feet

Step-by-step explanation:

First, lets assign and categorize the information given to us:

Area = 106 [tex]ft^{2}[/tex]

b = 2h (Base is twice the height)

Next, lets look at the formula for the area of a triangle:

Area = [tex]\frac{1}{2} bh[/tex]

Then, lets substitute the given information and solve:

106 = [tex]\frac{1}{2}[/tex] * 2h * h
106 = [tex]h^{2}[/tex]
[tex]\sqrt{106}[/tex] feet = h

Answer:

so basiclly a monkey can not turn into a monkey so they are real monkeys

Step-by-step explanation:

Answer:

  (a) the density approaches infinity

Step-by-step explanation:

As with any inverse relation, when one variable gets smaller, the other gets larger.

When the volume approaches zero, the density approaches infinity.

Answer:

its A

Step-by-step explanation: