[I REALLY DON'T KNOW I NEED HELP PLEASE] Fill in the blank with the word dependent or independent. 1. The equation y = 6-x defines y as a function of x. The variable x is the variable, because you can choose any value for it. The variable, because it depends on variable y is called the x. Once you have chosen a value for x, the value of y is determined.​

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Answer:

Step-by-step explanation:

In this question we are provided with right angle triangle having hypotenuse ( longest side ) = c , perpendicular = 5 and base = 12 . And we are asked to find the length of missing side i.e. hypotenuse and if necessary we have to round it off to 2 decimal places.

We can find the missing side by using Pythagorean Theorem . It states that sum of squares of perpendicular and base is equal to square in a right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

SOLUTION : -

Substituting value of hypotenuse as c , perpendicular as 5 and base as 12 in formula :

[tex] \quad \longmapsto \qquad \: (c) {}^{2} = (5) {}^{2} + (12) {}^{2} [/tex]

Squaring 5 and 12 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 25 + 144[/tex]

Adding 25 and 144 :

[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 169[/tex]

Applying square root to both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{(c) {}^{2} } = \sqrt{169} [/tex]

On simplifying , We get :

[tex] \quad \longmapsto \qquad \orange{\underline{\boxed{\frak{c = 13}}}} \quad \bigstar[/tex]

Verifying : -

Now we are checking our answer by putting all values in formula . So ,

Therefore , our answer is correct .

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (12) {}^{2} + (5 {)}^{2} }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 144 + 25 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 169 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c = \sqrt{169} }}} \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad c= 13 }}}\\ \\[/tex]

Therefore,

Answer:

61 hot dogs

122 sodas

Step-by-step explanation:

x+x2=183

3x=183

183÷3=

61

Answer:

I think that the answer is -81

Step-by-step explanation:

We have 3x+4x-81-14 x is given as 2.So we'll have 3*2+4*2-81-14= -81 per my calculations. TRY THIS

Figure a: The area of the triangle is 13.3 sq. km.

Figure b: The area of the rectangle is 57.4 sq. cm.

Figure c: The area of the parallelogram is 45.5 sq. km.

Figure d: The area of the trapezoid is 24.36 sq. m.

The area of a two-dimensional closed figure is the total space within its boundary.

In the question, we are asked to find the area of the given shapes.

Figure a:-

It is showing a triangle.

The area of a triangle is calculated using the formula:

Area = (1/2)*Base*Height.

Thus, the area of the triangle

= (1/2)*7*3.8 sq. km

= 13.3 sq. km.

Figure b:-

It is showing a rectangle.

The area of a rectangle is calculated using the formula:

Area = Length*Width.

Thus, the area of the rectangle

= 8.2*7 sq. cm

= 57.4 sq. cm.

Figure c:-

It is showing a parallelogram.

The area of a parallelogram is calculated using the formula:

Area = Base*Height.

Thus, the area of the parallelogram

= 9.1 * 5 sq. km

= 45.5 sq. km.

Figure d:-

It is showing a trapezoid.

The area of a trapezoid is calculated using the formula:

Area = (1/2)*(Sum of parallel sides)*(height).

Thus, the area of the trapezoid

= (1/2)*(2.7 + 8.9)*4.2 sq. m.

= 11.6 * 2.1 sq. m.

= 24.36 sq. m.

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Answer:

Rates of change:

school library: $0.25 per day;

city library: $0.35 per day

| Snapsolve. ... where \(c\) is the total cost and \(d\) is the number of days a book is late. The fees charged by a city library are shown in the table

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

There is only 1 variable and it is v.

There is no coefficient.

That means the coefficient is 1.  

The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.

Given that,

[tex]\frac{1}{2}[/tex] is the coefficient

[tex]v[/tex] is the variable

[tex]3[/tex] is the constant

Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]

Learn more about the coefficient here:

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Answer:

A) $4,905 B) $5,310

Step-by-step explanation:

To get the answer, just simply add the amount by the percentage.

4,500 + 9% = A

For 2 years, just do 9 x 2 = 18 because it's 2 years

4,500 + 18% = B

Answer:

On a coordinate plane, a line goes through (0, 3) and (3, negative 1).

Answer: the bottom left

Step-by-step explanation:

you will find it or just look it up if im wrong

Let's see

[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]

[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]

[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]

Either x=8

Or

Solution set

x[8,10]

Answer:

(573+9/2 cubic inches

Step-by-step explanation:

the answer is A

Answer:

transition 1 would be 5 to the right

transition 2 would be 1 down

Step-by-step explanation:

Step-by-step explanation:

a) 1*7=7 (Litres);

b) 1*2*5=10 (Litres);

c) 10*0.5*1/0.5=10 (bottles)

Step-by-step explanation:

remember, 360° (the full circle) = 2pi

a)

60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =

= 1.047197551... ≈ 1.047

b)

210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =

= 3.665191429... ≈ 3.665

c)

225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =

= 5/4 × pi = 3.926990817... ≈ 3.927

d)

120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =

= 2.094395102... ≈ 2.094

Answer:

2 1/3 longer

Step-by-step explanation:

yw ;)

Answer:

⅓

Step-by-step explanation:

Expression : 3 ⅚ - 3 ½

3 ½ would become 3 3/6.

3 ⅚ - 3 3/6 = 2/6 = 1/3

Answer:

100

Step-by-step explanation:

75 + 80 + 100 divided by 3 = 85

Answer: 48 degrees

Step-by-step explanation:

Dilations preserve angle measure.

Answer:

68

Explanation:

Sets of equations:

1) a + b = 10

2) a - b = 6

Make 'a' the subject:

1) a = 10 - b --- equation 1

2) a = 6 + b --- equation 2

Solve them by substituting:

⇒ 10 - b = 6 + b

⇒ -b - b = 6 - 10

⇒ -2b = -4

⇒ b = 2

Find value of 'a', a = 10 - b, a = 10 - 2 = 8

Then find (a²+b²), by inserting a = 8, b = 2,

⇒ ((8)²+(2)²) = 64 + 4 = 68

Step-by-step explanation:

given,

a+b=10.............( eqn 1)

a-b=6................(eqn 2)

adding eqn1 and eqn2

a+b=10

a-b=6

______

2a=16

a=16/2

a=8

putting the value of a in eqn 1

a+b=10

8+b=10

b=10-8

b=2

now,

(a²+b²)= 64+4=68

The table that represents the survey conducted by Isabel is:

                               Like Dolls        Don't like Dolls    Total

Like Trains                40                             15                  55

Don't like Trains         17                               8                 25

Total                           57                             23                80

The total number of kids that like dolls = total number kids - total number of kids that don't like dolls

80 - 23 = 57

Number of kids that don't like Trains but like dolls = total number kids that like dolls - Number of kids that  like Trains and dolls

57 - 40 = 17

Number of kids that don't like dolls and but like trains :

30% x 23 = 7

(23 - 7) /2 + 7 = 15

Number of kids that don't like dolls and trains = (23 - 7) / 2 = 8

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Answer:

The answer is The function g because the graphs of ƒ and g are symmetrical about the line y = x

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Answer:

30 miles²

Step-by-step explanation:

To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.

(b*h)÷2 = Area of a triangle

Base = 4

Height = 3

Now:

(4*3)/2 = 6 miles²

Now we have to multiply 6 miles² by 5 as our height.

We get 30 miles² as the volume of the figure.

Step-by-step explanation:

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - ( - 9) = 8.(x - ( - 2))[/tex]

[tex]y = 8x + 16 - 9[/tex]

[tex]y = 8x + 7[/tex]

Answer:

y = 8x + 7

Step-by-step explanation:

We are given that a line contains the point (-2, -9), and a slope of 8

We want to write the equation of this line

There are multiple ways to write the equation of the line:

The most common of these 3 methods is slope-intercept form, so let's write our equation this way

As we are already given the slope, we can immediately plug that into our formula for m

Replace m with 8:

y=8x+b

Now we need to find b

As the equation passes through (-2, -9), we can use its values to help solve for b

Substitute -2 as x and -9 as y:

-9 = 8(-2) + b

Multiply

-9 = -16 + b

Add 16 to both sides

7 = b

Substitute 7 as b.

y = 8x + 7

Topic: finding the equation of the line

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Answer:

2.8

Step-by-step explanation:

To find the mean aboslute deviation, you first need to find the mean:

(4 + 6 + 7 + 10 + 13)/5 = 8

Then, subtract the mean from each value, and take the abosulte value. Absolute value is essentially the same number, but if it is negative, make it positive.

4 - 8 = -4 = 4

6 - 8 = -2 = 2

7 - 8 = -1 = 1

10 - 8 = 2 = 2

13 - 8 = 5 = 5

Then, take the mean of all of these values:

(4 + 2 + 1 + 2 + 5)/5 = 2.8

Answer:

x = 7

The length of the side is 18

Step-by-step explanation:

40 / 16 = 2.5

meaning the shape is dilated by 2.5

45 / (2x + 4) = 2.5

→ multiply both side by the denominator

45 / (2x + 4) * (2x + 4) = 2.5 * (2x + 4)  

→ simplify

45 = 2.5 * (2x + 4)  

→ divided both side by 2.5

45 / 2.5 = 2.5 * (2x + 4)  / 2.5

18 = 2x + 4

→ subtract 4 from both sides (want x alone)

18 - 4 = 2x + 4 - 4

14 = 2x

→ divid both side by 2

14 / 2 = 2x / 2

7 = x

Plug in x:

2x + 4 = 2(7) + 4

14 + 4 = 18

The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

Conic sections provide a format that makes them fairly uncomplicated to draw manually.

Then the equation of the ellipse will be

(x - 5)² / 16 + (y + 7)² / 64 = 1

Then the equation of the hyperbola will be

(x + 1)² / 4 - (y)² / 64 = 1

The graphs are given below.

More about the ellipse and hyperbola link is given below.

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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

[tex]\bold{ax + b = 0}[/tex]

The equation after getting converted will be as follows ~

[tex] - 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}[/tex]

hope helpful ~

Answer:

A - As the length increases, the wingspan increases.

Very sorry if I got it wrong but I think it is A.

Answer:

I think it's A

Step-by-step explanation:

As the length increases the wingspan increases