Simplify a polynomial: (3x–4y)²–(3x–4y)(3x+4y)

Answer:

48 cm²  

Step-by-step explanation:

The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.  

The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).

1. Convert the height to centimetres

[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]

2. Calculate the perimeter

p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm

3. Calculate the lateral area

L = ph = 16 cm × 3 cm = 48 cm²

The lateral area of the prism is 48 cm².

Answer:

34

Step-by-step explanation:

area = bh/2

The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

Coordinates of vertices are:

X≡(6,8)

Y≡(3,3)

Z≡(13,-3)

The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)

=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]

=34 square units.

Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

To get more about triangles visit:

https://brainly.com/question/2644832

Answer:

im pretty sure its 777 hope this helped:)

Answer:60,480

Step-by-step explanation:

Given

Word ENERGETIC contains

[tex]3-E's[/tex]

[tex]1-N[/tex]

[tex]1-R[/tex]

[tex]1-G[/tex]

[tex]1-T[/tex]

[tex]1-I[/tex]

[tex]1-C[/tex]

i.e. there are 9 letters

So, no of ways of arranging 9 letters out of which 3 are same is given by

[tex]=\dfrac{9!}{3!}=60,480[/tex]

here 3! is for 3-E's

Answer:

1:5

Step-by-step explanation:

Answer:

vertex

Step-by-step explanation:

The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.

Answer:

Step-by-step explanation:

9m^2 + 3mn - 3mn - n^2

9m^2 - n^2

Answer:

V=π r^2 h/3

d=2 3/8 inches

convert to radius   d=2r

d=2.375 (value of 2 3/8 inches in decimal)

2.375 divide by 2

r=1.1875 inches

V=π r^2 h/3

V=3.14 x 1.1875^2 x 6/3

Volume will be 8.85.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

b^2 + 2 bl

8^2 + 2(8)(6)

64 + 16(6)

64 + 96

= 160

Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

Answer:

B.

Step-by-step explanation:

Make a ratio equation:

12 : 4.8 = 16 : x

[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]

Cross multiply:

12x = 76.8

x = 6.4

Answer:

1/2

Step-by-step explanation:

We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:

[tex]16 ^{1/2} * 2^{-3}[/tex]

Simplifying:

=> [tex]4 * \frac{1}{2^3}[/tex]

[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]

The answer is 1/2.

Answer:

115°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

? is an exterior angle of the triangle , thus

? = 75° + 40° = 115°

Answer:

[tex]x = 115 \: \: degrees[/tex]

Step-by-step explanation:

let's get the missing side as x

[tex]75 + 40 = x \\ 115 = x[/tex]

Answer:

The answer is A. 231

Step-by-step explanation:

I took the test on quizizz.

Answer/ Step-by-step explanation:

Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Please Mark BRAINLIEST! Really need it!

Got this image from one of my assignments:

Answer:

I Have the same question

Step-by-step explanation:

Plz answer this for us.

Answer:

a (5a - 6b)

Step-by-step explanation:

Factor a

5a^2 - 6ab

a (5a - 6b)

Answer: first problem: 2w-5w

Second problem: one side increases by 4 and another side decreases by -22.

Step-by-step

For the first question: make a rectangle and label the length 2w-5 and the width 5. Next, write w(2w-5). Draw a arrow from w to 2 and another arrow from w to 5. Lastly write 2w^2-5w. Answer: 2w^2-5w

2nd question: make a rectangle. For the length write 10 and for the width write 8 and inside the rectangle write 80. Then draw a arrow and on top of the arrow write +88 and then drew another rectangle and for the length write x+10 and for the width write x+8 and inside the rectangle write 168. Then write this on the bottom of the rectangles;

(x+10) (x+8) =168

X^2+8x+10x+80=168

-168. -168

X^2+18x-88=0

Then make a T-chart and on one of the top column write (x-4) and on the other top column write (x+22)=0

And on the bottom of (x-4) write X=4 and in parenthesis write (increase)

And on the bottom of (x+22)=0 write X=-22 and in parenthesis write (decrease)

Then on the area so of the T-chart write 88 and underline it and write -4+22=18 D. S large +.

-Tell me if you get what I am saying. And good luck!

Answer:

We have the formula to get the amount of money after 5 years:

A = Principal x (1 + rate)^year

or

5200 + 2340 = 5200 x (1 + rate)^5

=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45

=> 1 + rate = 1.077

=> rate = 1.077 - 1 = 0.077 = 7.7%

Hope this helps!

:)

Answer:

9

Step-by-step explanation:

r= 100i/pt=

100× 2340/5200×5=9

Answer:

Only the first one should be check-marked.

Step-by-step explanation:

Answer:

Answer:

c. (-1, -8)

Step-by-step explanation:

[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]

Put x in any of the two equations to get y,

y = -8

Answer:

2x + 3y ≤ 25

Completed question;

At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.

Represent the case with an equation.

Step-by-step explanation:

Given;

Cost of yellow roses = $2

Cost of red roses = $3

Maximum cost he can spend = $25

Let "x" represent the number of yellow roses

let "y" represent the number of red roses.

The total cost of yellow roses = 2 × x = 2x

The total cost of red roses = 3×y = 3y

Total = 2x + 3y

The equation for this case can be written as;

2x + 3y ≤ 25

Answer:

The correct option is;

C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The equation for the surface area of a triangular prism is as follows;

A = b×h + 2×l×s + l×b

Where:

b = Base width

h = Height of triangular sides

s = Slant height of pyramid

l = Base Length

Hence where every dimension of the triangular pyramid is multiplied by 10, we have

The surface area of original prism = A₁ = b×h + 2×l×s + l×b

The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b

A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)

Therefore, the surface area of the new pyramid is multiplied by 100.

Answer:

A The surface area of the pyramid is multiplied by 10.

Step-by-step explanation:

A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.

The total surface area of the triangular prism is calculated as:

(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)

If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.

Answer:

=fx-gx

Step-by-step explanation:

Apply the distribute law

Remove Parentheses

Answer found

Answer: =fx-gx

Hope this helps.

Answer:

50

Step-by-step explanation:

You find the common denominator by the LCM , which in this case is 50.

incase you did not understand LCM , am here to help.

Answer:

-92

Step-by-step explanation:

So the  way you find the discriminant is b^2 - 4ac

a = 4

b = 2

c = 6

4 - 96

-92

Answer:

19.4 =u

Step-by-step explanation:

17/7 = u/8

We can use cross products to solve

17*8 = 7u

Divide each side by 7

17*8/7 = 7u/7

19.42857143 = u

To the nearest tenth

19.4 =u

Answer:

[tex]u = 19.42[/tex]

Step-by-step explanation:

[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

64x

Step-by-step explanation:

that would be my answer

hope this helps!!! :)

Answer:

64x

Step-by-step explanation:

Simplify into x*4 to the 3 power

Evaluate 4 to the 3 power is 64

Reorder x*64

Final answer = 64x

Answer:

8π

Step-by-step explanation:

2 * π * r * 0.5

16π * 0.5

8π

Answer:

4 pi

Step-by-step explanation: