Find the surface area and volume of the prism.

Answer:

x = -7

Step-by-step explanation:

4(2x + 14) = 0

Divide each side by 4

2x+14 = 0

Subtract 14 from each side

2x+14-14 = 0-14

2x= -14

Divide each side by 2

2x/2 = -14/2

x = -7

Answer:

C, -7

Step-by-step explanation:

Use distributive property to get: 8x +56 = 0

Isolate x to get: 8x = -56

Then divide each side by 8: x= -7

The answer is C

Answer:

B-points B, C, and D

Step-by-step explanation:

got this correct:)

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

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Answer:

d. (3, 8)

Step-by-step explanation:

the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates

Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]

[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]

[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

Answer:

10

Step-by-step explanation:

Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4

2 1/2 = 5/2

(5/2)/(1/4) = 20/2 = 10

Answer:

1350 cm³

Step-by-step explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid  B = 1350 cm³

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

Answer:

[tex]y=-\frac{4}{5}x +4[/tex]

Step-by-step explanation:

Recall that slope-intercept form is the following form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

To get an equation into slope-intercept form, we just need to solve for y.

We begin with the equation [tex]4x+5y=20[/tex]. With this, we can solve for y to get our answer.

[tex]4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4[/tex]

Kelas : VII (1 SMP)

Materi : Geometri

Kata Kunci : Garis, Sisi, Rusuk, Bidang

Pembahasan :

Titik adalah bentuk yang paling dasar dalam geometri. Titik ditulis dengan tanda titik dan diberi nama dengan huruf besar. Sebuah titik hanya untuk menunjukkan posisi dan memiliki ukuran nol (panjang nol, lebar nol, dan tinggi nol).

Garis adalah kumpulan titik-titik yang memanjang secara tak berhingga ke dua arah. Sebuah garis memiliki panjang tidak terbatas.

Ruas garis adalah potongan sebuah garis. Sebuah ruas garis memiliki dua titik ujung dan diberi nama menurut kedua titik ujungnya.

Sinar garis merupakan bagian dari sebuah garis, namun hanya memiliki satu titik ujung. Sebuah sinar garis diberi nama dengan huruf titik ujungnya dan titik lain pada sinar garis tersebut.

Sudut adalah dua sinar yang memiliki titik ujung yang sama.

Titik ujung tersebut dinamakan titik sudut dan sinar-sinar garisnya dinamakan sisi-sisi sudut. 

Bidang adalah kumpulan titik yang jumlahnya tak terhingga yang membentuk permukaan rata yang melebar ke segala arah sampai tak terhingga. Sebuah bidang memiliki panjang tak terbatas, lebar tak terbatas, dan tinggi nol. Sebuah bidang biasanya digambarkan dengan gambar segi empat dan diberi nama dengan satu huruf besar.

Rusuk adalah suatu garis yang merupakan pertemuan dari dua sisi bidang.

Dua bidang berpotongan bila terdapat garis persekutuan atau garis potong antara kedua bidang tersebut.

Dua bidang sejajar bila antara kedua bidang tersebut tidak memiliki garis persekutuan.

Dua bidang berhimpit bila setiap titik terletak pada kedua bidang tersebut.

Mari kita lihat soal tersebut.

Jika dua bidang saling berpotongan dan tidak berhimpitan, maka perpotongannya berbentuk garis.

Jadi, jawabannya adalah B.

Semangat!

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]

   = 4(10 + 21)

   = 4 × 31

   = 124

Answer:

125

Step-by-step explanation:

Answer:

a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo

b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo

c) (1, 8, 27, 64, ...) Recursivo

d) (2, 5, 8, 11, 14, 17, ...) Recursivo

Step-by-step explanation:

Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores

O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;

1) Uma base que é predefinida

2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos

Para a série;

a) (5, 7, 9, 11, 13, 15, 17, 19, ...)

Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva

aₙ = aₙ₋₁ + 2

b) (1, 4, 9, 16, 25, 36, 49, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva

aₙ = (√ (aₙ₋₁) + 1) ²

c) (1, 8, 27, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva

aₙ = (∛ (aₙ₋₁) + 1) ³

d) (2, 5, 8, 11, 14, 17, ...)

Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.

Answer:

If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:

Possible reasons:

Please mark Brainliest if correct.

Sorry if it is not correct.

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

Answer:

The equation for the following graph:

[tex]y = -\frac{1}{5}x[/tex]

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)

-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

Then, you solve:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

[tex]m = -\frac{1}{5}[/tex]

After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:

[tex]y - y_{1} = m ( x - x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

Then, you solve:

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

[tex]y - 0 = -\frac{1}{5}x - 0[/tex]

[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]

[tex]y = -\frac{1}{5}x[/tex]

So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

Answer:

31.6227766

Step-by-step explanation:

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Answer:

[tex]15\:cm[/tex]

Step-by-step explanation:

Use the formula for the volume of a cuboid.

[tex]V=lwh[/tex]

[tex]80\:mm=8\:cm[/tex]

[tex]360=3 \times 8 \times h[/tex]

[tex]360=24 \times h[/tex]

[tex]360 \div 24 = h[/tex]

[tex]15=h[/tex]

The height of the cuboid 15 cm.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

The volume of a cuboid is 360cm3.

The length is 3cm and the width is 80mm.

now,

80mm=8cm

volume= l*w* h

i.e. 360 = 3* 8*h

so, h= 15

Hence, The height of the cuboid 15 cm.

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Answer:

Step-by-step explanation:

The general formula for slope-intercept form is y = mx + b

We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2

Note:

If youre ever asked for the x-intercept, make y equal to zero and solve for x.

Answer:

5 x 2.5 = 12.5

8 x 2.5 = 20

answer: 28

Answer:5 x 2.5 = 12.5

8 x 2.5 = 20

Step-by-step explanation:mark me as brainest plsssssssssssssssssss

Answer:

21/100

Step-by-step explanation:

there are 100 total people and 21 who have a dog but do not take walks. You can leave it like that because it cannot be simplified more.

Answer:  

m<1 = 51

m<2 = 34

m<3 = 95

m<4 = 38

m<5 = 47

m<6 = 74

m<7 = 59

Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.    

Answer:

[tex] \boxed{\angle b = 12 \degree} [/tex]

Given:

[tex]\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree [/tex]

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > \angle a + \angle b = 90 \degree \\ \\ = > 78 \degree + \angle b = 90\degree \\ \\ = > \angle b = 90 \degree - 78 \degree \\ \\ = > \angle b = 12 \degree[/tex]

Answer:

C

Step-by-step explanation:

Equation:

[tex]\frac{x}{-2}+\frac{y}{10}=1\\\\\frac{x*5}{-2*5}+\frac{y}{10}=1\\\\\frac{-5x}{10}+\frac{y}{10}=1\\\\-5x+y=10\\\\y=5x+10[/tex]

Answer:

-32m-4mn+15n

Step-by-step explanation:

BODMAS means Bracket of Division Multiplication Addition Subtraction.

So any time you have lot of signs use BODMAS.

Thank you do you understand

Answer:

c

Step-by-step explanation:

gm=cm+rg

gm-cm=rg

m(g-c)/g-c = rg/g-c

m=r g/g-c

     -3m=4m-15

-3m-4m=-15

-7m=-15

-15/-7m

= -2.14

-15/-3-4= 2.14

Answer:

The answer is C. I just got it right

Step-by-step explanation:

Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p

Answer:

Step-by-step explanation:

There are infinitely many rational numbers between any two rational numbers.

Answer:

(x+6)² = 13

Step-by-step explanation: