Perpendicular to the line y = 3x + 8; passes through (-4, 1)

Using linear function concepts, it is found that:

Bob's function is missing, and is given by:

f(t) = 7.2t.

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, the linear functions for the distances are given as follows:

The rate of change of a linear function is given by it's slope, hence they are given as follows for the functions in this problem:

The difference between the rates is given by:

7.2 - 5.9 = 1.3.

From the difference between the rates, Bob is 1.3 kilometer an hour faster than Alice.

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Answer: Select all the equations you can use to find the number of basketball courts, c is = 4.

Step-by-step explanation:

Given data,

Number of players on the basketball court in a city = 40

Number of teams on each court = 2

Number of players on each team = 5

Find all the equations you can use to find the number of basketball courts, 'c'.

So, we can solve it all equations,

Then,

We select equation A :
Equation A is : c times 2 times 5= 40

We can write,

Equation A is : cx2x5 = 40

simplify equation,

 c x 2 teams x 5 players = 40players

We can write,

                             cx2x5 = 40

                              cx10 = 40

                               c = 40/10

                                c = 4

Therefore, equation A use the number of basket ball courts c is = 4.

We select equation B :
Equation B is : 40 divided by c = 2 times 5

We can write,

Equation B is : 40/c = 2x5

simplify equation,

 40 players / c = 2 teams x 5 players

We can write,

                             40/c = 2x5

                              40/c = 10

                              40 = 10c

                               c = 40/10

                               c = 4

Therefore, equation B use the number of basket ball courts c is = 4.

We select equation C :
Equation C is : 2 times 5 times 40= c

We can write,

Equation C is : (2 x 5) 40 = c

simplify equation,

 (2 teams x 5 players ) 40 players = c

  (2 teams x 5 players ) = 40 players divided by c

We can write,

                             ( 2 x 5 ) = 40/c

                               10 = 40/c

                                c = 40/10

                                c = 4

Therefore, equation C use the number of basket ball courts c is = 4.

We select equation D :
Equation D is : 40 divided by 5 times 2= c

We can write,

Equation D is : 40/5x2 = c

simplify equation,

 40 players / 5 players x 2teams = c

We can write,

                              40/5x2 = c

                              40/10 = c

                              4 = c

                              c = 4

Therefore, equation D use the number of basket ball courts c is = 4.

We select equation E :
Equation E is : 40 divided by (5 times 2)= c

We can write,

Equation E is : 40/5x2 = c

simplify equation,

 40 players /  5 players x 2 teams = c

We can write,

                             40/5x2 = c

                              40/10 = c

                              4 = c

                               c = 4

Therefore, equation E use the number of basket ball courts c is = 4.

Therefore,

select all the equations you can use to find the number of basketball courts, c is = 4.

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The height of the triangle has a measure of 2⁻⁴ units, that is equivalent to a measure of 1 / 2⁴ units.

The statement indicates the dimensions of a triangle, where the base and the height of the figure are expressed by exponential numbers with positive integer base and negative integer exponents and each of which must be rewritten with positive exponents, this can be done by using the following power property:

a⁻ⁿ = 1 / aⁿ

Then, if the height of the triangle has a measure of 2⁻⁴ units, that is equivalent to a measure of 1 / 2⁴ units.

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Answer:

(2/x) - 9x

Step-by-step explanation:

si una de las respuestas se ve así, elija esa.

The angle made by the vector is [tex]\theta[/tex] such that

[tex]\tan(\theta) = \dfrac{18.4\,\rm m}{-28.7\,\rm m} \approx -0.6411[/tex]

Before taking the inverse tangent of both sides, recall that [tex]\arctan[/tex] returns a number between -π/2 and π/2 radians, or -90° and +90°. The vector in the diagram clearly makes an angle between 90° and 180°, however, so we use the fact that tangent has a period of π rad / 180° to write

[tex]\theta \approx \arctan(-0.6411) + 180^\circ n[/tex]

where [tex]n\in\Bbb Z[/tex].

Now,

[tex]\arctan(-0.6411) \approx -0.5701 \,\mathrm{rad} \approx -32.6639^\circ[/tex]

Add 180° to this to recover the correct angle.

[tex]\theta = \arctan(-0.6411) + 180^\circ \approx \boxed{147.34^\circ}[/tex]

[tex] \large \bf \longrightarrow{(3, - 8)}[/tex]

Step 1) : Write the midpoint formula

[tex] \large \implies \bf(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]

Step 2) : Substitute (-1 , -9) and (7 , -7) into [tex]\bf(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]

[tex]\large \implies \bf(\frac{ - 1 + 7}{2}, \frac{ - 9 - 7}{2} )[/tex]

Step 3) : Calculate

[tex]\large \implies \bf(\frac{6}{2}, \frac{ - 16}{2} )[/tex]

Step 4) : Cross out the common factor

[tex]{\large \implies \bf(\frac{ \cancel{6}}{ \cancel{2}}3, \frac{ \cancel{ - 16}}{ \cancel{2}}} \bf - 8)[/tex]

Step 5) : We have got the answer

[tex]\large \bf \implies{(3, - 8)}[/tex]

Answer:

the answer is 49

Step-by-step explanation:

Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

Step-by-step explanation:

If there is a pair of adjacent angles, then this pair is a linear pair if the sum of the (measures of the) two angles will be 180°. So, linear pair of angles always add up to 180°. For example, the linear pair of 30° is 150°, the linear pair of 70° is 110°, etc.

These two angles form a linear pair. We have found all four linear pairs of angles. The four linear pairs formed by the intersecting lines ←→QR Q R ↔ and ←→ST S T ↔ are ∠SOQ ∠ S O Q and ∠QOT ∠ Q O T , ∠QOT ∠ Q O T and ∠TOR ∠ T O R , ∠TOR ∠ T O R and ∠ROS ∠ R O S , and ∠ROS ∠ R O S and ∠SOQ ∠ S O Q .

Answer:

x = -6.36

Step-by-step explanation:

(18 + x) × 28 = 326

Divide both sides by 28

18 + x = 11.64

Subtract 18 from both sides

x = -6.36

Answer: put 32x over 9 as a fraction and it would be a negative so put a - in front

Step-by-step explanation:

Answer:

if they have the same absolute value but different signs.

Step-by-step explanation:

Answer:

if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0

Answer:

1

Step-by-step explanation:

1 / 3-x

x - 2/x - 3

(x - 2)/x - 3

-3/x - 3

(x - 2) + -1/x - 3

= x - 3/x - 3

Cancel

= 1

The expression -2√294p³ can be simplified as -17.146 p√p using the concept of radicals.

An expression that has a root, typically a square or cube root, is referred to as a radical.

The radical form of the square root of 294 is √294 and the exponent form is [tex]294^{\frac{1}{2} }[/tex].

17.146428 is the square root of 294 when rounded to six decimal places.

Now, the square root of p³ will be

[tex]\sqrt{p^{2} .p}[/tex] = p√p

Therefore the square root of √294p³ is 17.146428p√p.

The expression -2√294p³ can be written as -17.146 p√p.

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The reasons in the asked situations are:

(A) E is the midpoint of AC:

(B) ∠D≅∠B:

So, (A) E is the midpoint of AC:

(B) ∠D≅∠B:

Therefore, the reasons in the asked situations are:

(A) E is the midpoint of AC:

(B) ∠D≅∠B:

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Answer:

Step-by-step explanation:

The area of shaded region is 3.6077 cm²

The area occupied by the rectangle within its perimeter can be calculated using the formula for the area of a rectangle.

A rectangle's area is calculated by multiplying its length by its width. Therefore, the product "l x w" is the formula for the area, "A," of a rectangle whose length and breadth are "l" and "w," respectively.

Given:

rectangle:

Length = 4 cm

width= [tex]3 \frac{1}{2}[/tex] cm

So, area of rectangle

= length x width

=4 x  [tex]3 \frac{1}{2}[/tex]

= 4 x 7/2

=14 cm²

Now, area of Hexagon

= 3√3/2 x a²

= 3√3/2 x 2²

= 3√3/2 x 4

= 3√3 x 2

= 10.3923 cm²

Then, area of shaded region

= 14 - 10.3923

=3.6077 cm²

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The length of one side of the pool is 12 feet

The shape of the pool is a square

A square is a 2-dimensional quadrilateral with sides of equal lengths.

Characteristics of a square

The angles in the square are right angles

The sum of angles equal 360 degrees

Diagonals are equal in length

Area of a square = length²

144 = length²

In order to determine the length of a side, determine the square root of the area

√144 = 12 feet

therefore the area of a gym is 12 feet.

dimension, in common parlance, the measure of the size of an object, such as a box, usually given as length, width, and height. In mathematics, the notion of dimension is an extension of the idea that a line is one-dimensional, a plane is two-dimensional, and space is three-dimensional.

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From the given triangular sail, it is found that:

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure.

Considering that 1 ft = 12 inches, the outer edges for this triangle are given as follows:

14.5833 ft, 13.3333 ft, 13.3333 ft.

Hence the perimeter is given by:

P = 14.5833 + 13.3333 + 13.3333 = 41.25 ft = 41 ft 3 in.

The area of a triangle is given by half the multiplication of the base and the height of the triangle.

For this triangle, we have that:

Hence the area is:

A = 0.5 x 14.5833 x 11.1667 = 81.4 ft².

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Answer:

100%

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

63% of 109 is 68.67 the closest answer is 66

The amount Nicole's mother owe her for babysitting is 9.48 dollars.

She ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00.

Nicole's mother said that she would pay for the order on her credit card if Nicole gave her the money.

Nicole gave her mother $40.00 .

Her mother also applied the money that she owed Nicole for babysitting.

Nicole's mother then gave her back $5.26.

The amount Nicole's mother owe her for babysitting can be calculated as follows;

Therefore, the total amount for the order is

$9.75 + $29.99 + $15.00 = $54.74

let the money her mother owes her  =  x

Therefore,

x + 40 + 5.26 = 54.74

x = 54.74 - 40 - 5.26

x = 54.74 - 45.26

x = 9.48

Therefore, the amount Nicole's mother owe her for babysitting is 9.48 dollars.

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Step-by-step explanation:

what did your teacher do in class ? nothing ?

it is really not that complicated :

the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

it tells us how many units y changes when x changes by a certain number of units.

e.g. a slope of 2 = 2/1 means that when we increase x by 1, y increases by 2.

a positive slope means that the line goes up (seen while going from left to right).

a negative slope means that the line goes down.

therefore, a slope of 0 means a flat, horizontal line.

while for a vertical line the slope is the result of a division by 0 and is therefore undefined (some like to symbolize this by infinity).

parallel simply means to have the same slope. parallel lines imitate each other's behavior and attributes perfectly except for the absolute physical location.

perpendicular (at a 90° angle) slopes now simply turn x and y in the ratio upside-down and flip the overall sign of the slope.

e.g. the perpendicular slope of 2 = 2/1 is -1/2.

oh, and the slope of a function or curve that is not a line ?

then we go point by point, as the function does not have one slope for everything. and the slope of the function at a particular point is the slope of the tangent line at that point.

all clear now ?

The length of the radius DC (or EC) in units is 20 units and the coordinates of the center C of the circle is (19, 17) using concept of Coordinate Geometry and Lines.

As per the question statement, The diameter of a circle has endpoints D(7, 33) and E(31, 1). The center of the circle denoted by C, is the midpoint of the diameter. We are supposed to find the length of the radius DC (or EC) in units and the coordinates of the center C of the circle

Now using the distance formula in Line concept and coordinate geometry,

Distance between two points is given by d = √{(x2-x1)^2+(y2-y1)^2}

Given coordinates of D are (7, 33) and E are (31, 1)

Therefore Distance DE = √{(31-7)^2 + (1-33)^2}

DE = √{(576)+(1024)}

DE = √1600

DE = 40 units

Therefore, length of diameter DE is 40 units so length of radius DC (or EC)  will DE/2 = 40/2 = 20 units

Now using Mid Point Formula of  Line concept and coordinate geometry,

Mid Point of line joining two points is given by

C = ({x1 + x2}/2, {y1 + y2}/2)

C = ( {31+7}/2 , {1+33}/2)

C = (19, 17)

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Equation for the translation of y=2/x that has the given asymptotes. x=0 and y=4 is y = 4(x+7) + 6

A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.

y = 4(x+7) + 6

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The best function to model this data is a linear function.

We have the data:

x             y

0            -1

1           -0.5

2             0

3           0.5

4               1

From the table, we see that,

The slope of the points are given by:

(- 0.5 + 1) / (1 - 0) = 0.5 / 1 = 0.5

(0 + 0.5) / (2 - 1) = 0.5

(0.5 - 0 ) / (3 - 2) = 0.5

(1 - 0.5) / ( 4 - 3 ) = 0.5

Thus, the equation of the function is, y = 0.5 x - 1

So, the best function for this model is a linear function.

Therefore, we get that, the best function to model this data is a linear function.

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Your question was incomplete. Please refer the content below:

Which kind of function best models the data in the table? use differences or ratios.

x             y

0            -1

1           -0.5

2             0

3           0.5

4               1

a)liner

b)quadratic

c)exponential

d)none of these

Answer:

-70

Step-by-step explanation:

you didn't put the function so sorry if it is wrong

The expanded form of the equation log₂ (2 y-4)³ is 3log₂(2y -4).

An expanded form is a method of writing a number through adding the digit values. A place value chart can help us think about the worth of a number's digits. Logarithms can be expanded by writing them as a sum as well as difference of logarithms, using the power rule if necessary. The order summation rule, product rule, as well as power rule are frequently useful.

Expanding the equation  log₂ (2 y-4)³:

log₂ (2 y-4)³

applying the log rule logₐxᵇ = b*logₐ(x)

so that

3log₂(2y -4)

The expanded form of the equation log₂ (2 y-4)³ is 3log₂(2y -4).

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Answer:

u≤25

Step-by-step explanation:

63 ≥ 3u-12

-3u    -3u

-3u+63 ≥ -12

 -63        -63

-3u ≥ -75

/-3    /-3

u≤25

Answer:

(6*2)+(10*1)+(2*3)+(1*8)

Step-by-step explanation:

6 notebooks for 2 dollars each: 6*2 dollars spent

10 folders for 1 dollar each: 10*1 dollars spent

2 packs of pencils for 3 dollars each: 2*3 dollars spent

1 lunch box for 8 dollars each: 1*8 dollars spent

Add all the dollars spent per item type for total dollars spent

An expression does not have an equal sign

Answer:

In standard form 7.4 × 10^-2

Step-by-step explanation:

Answer:

7.4×10^-2

Step-by-step explanation:

Firstly, to convert 0.074 to standard form you will bring the first significant figure and make it the first I.e 7.4 then count how many times you took it backwards to make it 7.4 then put a negative sign in front of it because you took it backwards

Since their dot product is equal to zero,  then vectors (0.8, -0.6) and (0.3, 0.4) are normal to each other.

Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.

These two vectors are also called orthogonal to each other.

Let u = (u₁, u₂) and  v = (v₁, v₂), then the dot product u . v is defined as:

u . v = u₁v₁ + u₂v₂

To check whether the vectors are normal to each other, let us check their dot product.

The given vectors are: (0.8, -0.6) and (0.3, 0.4).

Let u = ((0.8, -0.6) and  v = (0.3, 0.4), then,

u . v = 0.8 . 0.3 + (-0.6) . 0.4

      = 2.4 + (-2.4) = 0

Since u.v = 0, then vectors (0.8, -0.6) and (0.3, 0.4) are normal to each other.

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