Find the factors ???

We want to compare the graphs of the two given linear equations, we will find that they have the same y-intercept but opposite slopes.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here the two equations are:

So you can easily see that the two equations have the same y-intercept but opposite slopes.

So both of them pass through the point (0, 1) and both are lines, these are the similarities.

And the difference is that the slopes are just different.

If you want to learn more about linear equations you can read:

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Answer:

The answer is below

Step-by-step explanation:

a) Let the width be represented as w and the length be represented as l.

The perimeter of the sand box = 2(l + w)

Since there is 400 feet of material for the sides of the sandbox, hence:

400 = 2(l + w)

200 = l + w

l = 200 - w

The area (A) is:

A = length * width

A = (200 - w) * w

A(w) = 200w - w²

b) The maximum area is at A'(w) = 0. Hence:

A'(w) = 200 - 2w

200 - 2w = 0

2w = 200

w = 100 feet.

l = 200 - w = 200 - 100

l = 100 feet.

Area = length * width = 100 * 100 = 10000 feet²

The maximum area of the sandbox is 10000 feet², with a length of 100 feet and width of 100 feet.

Answer:

The younger brother is 16 years old.

Step-by-step explanation:

The younger brother is aged x.

It follows that the older brother is aged x+3.

x + (x+3) = 35

2x + 3 = 35

2x = 32

x = 16

Answer:

they are 16 and 19

the younger bro is 16

Step-by-step explanation:

if you add 16 and 19 you get 35

Hope this helps!! Pls mark me brainliest!!

Step-by-step explanation:

Point C with coordinates (3, 8) does not satisfy y = 2x as 8 is not equal to 2(3).

Hence the answer is C.

Answer:

1.99

Step-by-step explanation:

15.92 divided by 8 = 1.99

Hope this helps. :)

Also you can find this on a calculator.

Answer:

6

Step-by-step explanation:

Answer:

(57.1 miles per hour. )

7.8 hours

Step-by-step explanation:

Answer:

S = 27/8

Step-by-step explanation:

We need to find the actual sum of [tex]1\dfrac{3}{4}+1\dfrac{5}{8}[/tex].

We need to find how much Devid grew in two years.

[tex]1\dfrac{3}{4}=\dfrac{7}{4}[/tex]

and

[tex]1\dfrac{5}{8}=\dfrac{13}{8}[/tex]

Sum means,

[tex]S=\dfrac{7}{4}+\dfrac{13}{8}\\\\=\dfrac{7(2)+13}{8}\\\\=\dfrac{14+13}{8}\\\\=\dfrac{27}{8}[/tex]

Hence, the answer is 27/8.

Answer:

I dont speak french but if you translate it for me Im pretty sure I could most definitely solve this :)

Step-by-step explanation:

Step-by-step explanation:

5x - 4y + 10

= 5(2) - 4(-3) + 10

= 10 + 12 + 10

= 32.

The value of x is 5, the correct option is B

A quadrilateral with one side parallel to the other is a Trapezoid.

The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.

In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.

The length of AB = 12.6

The length of the midline EF = 8.8

The value of x =?

From the definition,

8.8 = (12.6 + x) /2

8.8 * 2 = 12.6 +x

x = 5

Therefore,the correct option is B.

To know more about Trapezoid

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First one is -1. The second one is 1/2.

Answer:

-7

Step-by-step explanation:

Answer:

-7. the number with x is always the slope in this sort of equation. The 12 in this equation is the y-intercept

Step-by-step explanation:

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

Volume of the shape = 551.3212cm³

Answer:

is this functions because if it is I can help

Step-by-step explanation:

5-1+0.85= -0.666x

4.85/-0.666= -0.666/-0.666x

x= -5.6

Answer:

Step-by-step explanation:

Answer:a lot

Step-by-step explanation:

Nash+459 = 100000000000000000

Answer:

B.11

Step-by-step explanation:

It's 27 degrees so,

3 times 11 is 33 and 33 - 6 is 27

Answer: Answer is B- 11

Step-by-step explanation: got it right on edge

Answer:

x=88 degrees

Step-by-step explanation:

the angle opposite x and 54 is 38 degrees. if one angle is 54, one is 38, add those together, subtract from 180 and you get 88.

Answeefefeefefeefefe

lanation:

anwer it on ur, own nah im just kidding bruh i gatchu

i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree

Answer:

C

A

H

F

Step-by-step explanation:

graph shows slope =2

2. slope is y2-y1 / x2-x1

(4-7)/(1-0)

-3

so A

3. slope is 28-18 / 4-2

10/2 = 5

so H

4. graph shows slope =1

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Answer:

Exact Form:

557/24

Decimal Form:

23.208¯3

Mixed Number Form:

23   5/24

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

Yes he is right. He has to move one step behind to get an award.

Step-by-step explanation:

Here is the full question:

Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.

To answer the above question, we already know that Diego is standing in the 23rd position and it is said that every 12th customer will get a free slice of carrot cake. Therefore, those on position 12, 24, 36, 48, . . . will get this award. Simply put, those in positions that are multiples of 12.

Since Diego is thinking of moving farther backwards to get an award, then he is right. Also, he has to move just one step behind to be in a multiple of 12, that is move from 23 to 24, to get an award.

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

For a pentagon with n = 5 , then

sum = 180° × 3 = 540° , thus

x = 540° ÷ 5 = 108

For an octagon with n = 8, then

sum = 180° × 6 = 1080° , thus

y = 1080° ÷ 8 = 135

Thus

x + y = 108 + 135 = 243 → D

Answer:

W=32

Step-by-step explanation:

16x2=32

32/2=16

Answer:

Hay 50 latas en total que tocan el fondo de la caja.

Step-by-step explanation:

Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:

[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)

Donde:

[tex]n_{V}[/tex] - Total de latas de atún, adimensional.

[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.

[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.

[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.

De acuerdo con el enunciado, tenemos las siguientes relaciones:

[tex]n_{V} = 400[/tex] (2)

[tex]n_{l} = n_{w} +5[/tex] (3)

[tex]n_{h} = n_{w}+3[/tex] (4)

Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:

[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]

[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]

[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]

Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:

[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]

En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):

[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]

La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:

[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)

[tex]n_{A} = (5)\cdot (10)[/tex]

[tex]n_{A} = 50[/tex]

Hay 50 latas en total que tocan el fondo de la caja.