Using the right triangle below. What is the name for side BC?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above

Answer:

The equations are linearly independent in vector space R²

Step-by-step explanation:

The given vectors are;

V₁ = (1, 2, 3), V₂ = (1, 1, 1), V₃ = (1, 1, 0)

For the vectors to be linearly dependent, we have;

a₁·V₁ + a₂·V₂ + a₃·V₃ = 0

Where;

a₁, a₂, and a₃ are not all zero

We get;

[tex]\left[\begin{array}{ccc}1&2&3\\1&1&1\\1&1&0\end{array} \right][/tex]

The vectors are linear dependent, if the following system of equation has a unique set of solution

x + y + z = 0...(1)

2·x + y + z = 0...(2)

3·x + y = 0...(3)

From equation (1), we have;

x = -(y + z)

∴ y + z = -x

Plugging in the value of y + z in equation (2) gives;

2·x + y + z = 0

2·x + y + z = 2·x - x = x = 0

x = 0

From equation (3), we get;

3·x + y = 0, where x = 0, therefore;

3 × 0 + y = 0

∴ y = 0

From equation (1), we have;

x + y + z = 0

Where, x = 0, and y = 0, we get;

0 + 0 + z = 0

z = 0

The vectors, V₁, V₂, and V₃ are linear independent in R³

In two dimensional space, we have

x + y = 0...(1)

2·x + y = 0...(2)

x + y = 0...(3)

Subtracting equation (1) from equation (2) gives;

2·x + y - (x + y) = 2·x - x + y - y = x = 0

∴ x = 0

From equation (1), we get

x + y = 0

∴ 0 + y = 0

∴ y = 0

Therefore, the equations are also linearly independent in vector space R²

Answer:

[tex]p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113[/tex]

Answer:

- 113

Step-by-step explanation:

Substitute x = - 3 into p(x) and evaluate , that is

p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43

         = 4(- 27) - 7(9) + 15 + 43

         = - 108 - 63 + 58

         = - 171 + 58

         = - 113

Answer:

y  - intercept = - 3

Step-by-step explanation:

The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.

Given :

    y - 7x = - 3

    y = 7x - 3               [ convert to standard line equation form ]

Therefore , y  - intercept = - 3

Answer:

-3

This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.

Answer: c

Step-by-step explanation:

ok so it doesn't contain  moisten in food

The statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins​.

Saliva is a liquid that is made by the salivary glands in the mouth. Saliva contains the enzyme known as amylase which helps to break down starch. Saliva does not have enzymes that can break down proteins.

Other functions of Saliva are:

Therefore, the statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins​.

Learn more about saliva on:

https://brainly.com/question/882651

Answer:

Dividend

Step-by-step explanation:

Dividend is the profit earned from investing in stock

Answer: 52x+4

Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.

Answer:

The pack of water has the lower unit rate.

Step-by-step explanation:

The unit rate per bottle for individual bottles is 3.00. The unit rate for the pack is 0.75 per bottle.

Answer:[tex]\color{iron}{}[/tex]

Amplitude:

[tex]\color{iron}{5π/4}[/tex]

Period:

[tex]\color{iron}{3.14 x (4)²}[/tex]

[tex]\color{iron}{3.14 x 16}[/tex]

[tex]\color{iron}{A=5.4π}[/tex]

Answer:

[tex]{ \tt{ = (100 + 89)\%}} \\ = { \tt{(189\% \times £854)}} \\ = £1614.06[/tex]

Step-by-step explanation:

(a) subsets are {apple}, { }

(b) subsets are {1}, {2}, {1,2}, { }

proper subsets are {1}, {2}

(c) subsets are

{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }

proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}

(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }

proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}

Answer:

Percentage increase in volume will be

33.1

%

Step-by-step explanation:

Let the each edge of cube be

100

units.

Then its volume is

100

3

=

1000000

cubic units.

If each edge increases by

10

%

it becomes

110

units

and volume becomes

110

3

=

1331000

cubic units

Therefore increase in volume is

1331000

−

1000000

=

331000

cubic units

and percentage increase in volume is

331000

1000000

×

100

%

=

331

10

%

=

33.1

%

Answer: 700

Step-by-step explanation: 3 x 200 + 100

Answer:

c.$700

Step-by-step explanation:

3x+100 3 per chair=3x plus the additional 100 dollar fee

3(200)+100

600+100

700

Answer:

129.3 feets

Step-by-step explanation:

Using the solution diagram attached below :

The difference in height of the two buildings :

Building B - Building A = (654 - 480) = 174 feets

Using trigonometry :

Cosθ = opposite / Adjacent

Cos 42 = d / 174

d = 174 * Cos 42

d = 129.307

d = 129.3 feets

Answer:

dude if they have a pattern they are a function figure it out from there

Answer:

(x+3)² = 64

Step-by-step explanation:

(x+a)² = b

so, let's see the details of the square calculation :

x² + 2ax + a² = b

so, now we have in our problem the specific equation

x² +3x - 69 = -3x - 14

now, let's group and combine all expressions of x

x² + 6x - 69 = -14

compare to the general square equation.

x² is in both expressions. nothing else needs to be done for that part.

2ax must be equal to 6x.

=> 2a = 6

a = 3

so, our general swathe square equation turns then into

(x+3)² = b. or

x² + 6x + 3² = b

x² + 6x + 9 = b

now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :

x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)

x² + 6x + 9 = 64

=> b = 64

so, the form (x+a)²=b for our specific equation is

(x+3)² = 64

Answer:

24 ft

Step-by-step explanation:

The area of a square is given by

A = s^2

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The perimeter of a square is

P = 4s

P = 4(6)

P = 24

[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex] 

[tex]\sf\purple{Step-by-step\:explanation:}[/tex]

[tex](x - 3)(x + 6)[/tex]

➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]

➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]

➼ [tex] \: {x}^{2} +3x - 18[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

Answer:

11

Step-by-step explanation:

Solution for this problem is in this picture.

Answer:

4

Step-by-step explanation:

44/11=4

Answer:

A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.

Step-by-step explanation:

The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.

Answer:

which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!

Answer:

Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

Answer:

[tex]b = \frac{y-12x}{12}[/tex]

Step-by-step explanation:

subtract 12x from both sides, then divide by twelve.

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation:

Respuesta:

52 000

Explicación paso a paso:

Dado :

Costo de la casa hace 5 años = costo original de la casa = 40,000

Aumento porcentual en el precio original hoy = 30%

El monto mínimo a cobrar por la casa:

Precio original * aumento porcentual del precio original

40.000 + (30% de 40.000)

40000 + (0,3 * 40000)

40000 + 12000

= 52 000

Monto a cobrar por la casa = 52,000

Answer:

[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]

Answer:

12.5

Step-by-step explanation:

Given:

Bananas are $2.40 per pound.

To find:

The graph and unit rate on the graph.

Solution:

Let y be the total cost of x pounds of bananas.

Cost of 1 pound of banana = $2.40

Cost of x pound of bananas = $2.40x

So, the required equation for the given situation is:

[tex]y=2.4x[/tex]

The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.

The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.

Therefore, the correct option is (b).

Answer:

a

Step-by-step explanation:

Answer:

B. The function shown on the graph has a smaller rate of change but a higher starting point

Step-by-step explanation:

Question options obtained from a similar question are;

A. The function shown on the graph has a greater rate of change and a higher starting point

B. The function shown on the graph has a smaller rate of change but a higher starting point

C. The function shown on the graph has a greater rate of change but a lower starting point

The function shown on the graph has a smaller rate of change but a higher starting point

Explanation;

The given function with which the graph is compared is y = 4·x + 2

From the given function, we have;

The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4

When y = 0, 4·x + 2 = 0,

∴ x = -2/4 = -0.5

The y-intercept is given when x = 0

∴ The y-intercept, y = 4 × 0 + 2 = 2

The starting point of the function, is (0, 2)

From the graph, we have;

The y-intercept = (0, 4)

Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)

The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)

The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3

Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4

When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.

Answer:

13

Step-by-step explanation:

-2x + 6 = -20

Step 1 subtract 6 from both sides

6 - 6 cancels out

-20 - 6 = -26

We now have -2x = -26

Step 2 divide both sides by -2

-2x/-2 = x

-26/-2 = 13

We're left with x = 13