Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1).

a. Using variables, write out the formula for the point-slope form of the equation.

b. Identify the values for m, x1, and y1.

c. Fill these values into the point-slope form of the equation from part (a), and simplify as needed.

Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.

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The number of possible combinations Miranda can make from his box is 240

The number of jewelry in Miranda box are given as

Necklaces = 8

Earrings = 10 pairs

Bracelets = 3

The number of possible combinations is the product of the above parameters

So, we have

Number of possible combinations = 8 * 10 * 3

Evaluate the products

So, we have

Number of possible combinations = 240

Hence, the number of possible combinations = 240

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The probability is 1/3 of the given event .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

There are 52×51 outcomes when you draw 2 cards one after another without returning the first drawn card to the deck.

There are 48×4 outcomes when the first card is not Ace and the second card is Ace. There are 4×3 outcomes when both cards are Ace. The total outcomes are 48×4+4×3=51×4.

The probability is 51×452×51=51/52×4/51=4/52=1/3.

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Answer:

P≈39141 ENTER 39141

Step-bystep explanation:

Source TRUST ME BRO

The equation that models the scenario is:

80 = 8x + 10y

Where x is the number of pounds of almonds and y is the number of pounds of cashews.

We know that almonds cost $8 per pound and Cashews cost $10 per pound, so if you buy x pounds of almonds and y pounds of cashews, the total cost is:

c(x, y) = x*$8 + y*$10

Now we know that Tamira has $80 to spend, so the total cost will be equal to $80, then the equation that models this scenario is:

$80 = x*$8 + y*$10

Or, removing the units:

80 = 8x + 10y

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By using the rectangle, we proved that area of triangle is half the area of rectangle that is 1/2 (base×height).

To Prove:- Area of a triangle= 1/2 (base×height)

Diagonals of a rectangle divide it into two parts of equal parts that is area

.

Let  ABCD  be a rectangle.

In ΔABC and ΔADC,

                                         AC=AC

By Alternate Interior Angles:

                                    ∠BAC=∠CAD

                                    ∠BCA=∠CDA

Hence, ΔABC≅ΔACD

                               ∴ar(ΔABC) =ar(ΔACD)

Let ΔABC,

We draw a line AD perpendicular to BC, line EF parallel to BC passing through A and lines BE and CF , perpendicular to BC passing through B and C respectively.

In rectangle ADBE,

we get,

                     ar(ΔABE)=ar(ΔADB)

Similarly, in rectangle ADCF,

                     ar(ΔADC)=ar(ΔACF)

Now, area of rectangle BCFE, from axiom,

                               =(length)⋅(breadth)

                               =AB⋅BC

                              =AD⋅BC

Also,

ar(BCFE)

                                   =ar(ADBE)+ar(ADCF)

                                   =2⋅ar(ΔADC)+2⋅ar(ΔADB)

                                   =2(ar(ΔADC)+ar(ΔADC)

                                   =2(ar(ΔABC))

From (1) and (2),

                                   2(ar(ΔABC))=AD⋅BC

                                    ar(ΔABC)=1/2AD⋅BC

                                   ar(ΔABC)=1/2(base)⋅(height)

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Answer:

Step-by-step explanation:

(a) Graph of the function is given below.

(b) The domain of the function is, - ∞ < x < ∞.

     The range of the function is, -1  ≤  ∞.

(c) The x - intercepts are, (-3, 0), (-1, 0) and the y - intercept is, (0, 1).

(d) The graph is symmetric about the vertical line y = -2.

What is absolute value function?

The non-negative value of x, regardless of its sign, is referred to in mathematics as the absolute value or modulus of the real number x, symbolized by the symbol |x|. Specifically, |x| = x if x is a positive number, |x| = -x if x is a negative number, and |0| = 0.

Given: f(x) = | x + 2 | - 1.

(a) The graph of the function is attached below.

(b) As the function is absolute function, so the function is defined for all the real numbers.

Hence, the domain is, - ∞ < x < ∞.

The function has all y - values from -1.

Hence, range of the function is, -1 ≤ y.

(c) Now to find the x - intercepts and the y - intercepts.

Let, y = | x + 2| - 1

To find x - intercept plug y = 0

⇒ 0 = |x + 2| - 1

⇒ |x + 2| = 1

⇒  -(x + 2) = 1,      (x + 2) = 1

⇒   -x - 2 = 1,          x + 2 = 1

⇒         x = -3,              x = -1

Therefore, the x - intercepts are (-3, 0) and (-1, 0).

To find y - intercept plug  x = 0 in the above equation.

y = |0 + 2| - 1

y = 2 - 1

y = 1

Therefore, the y - intercept is, (0, 1).

(d) From the graph we can see that, the symmetry of the graph is about the vertical line x = -2.

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Answer:

45 minutes

Step by step explanation:

60min ÷ 56miles × 42miles = 45mins

Answer:

A

Step-by-step explanation:

Answer:

249.40 Option b

Step-by-step explanation:

When multiplying 21.5 x 11.60 you get $249.40

Answer:

Step-by-step explanation:

Using conversion of improper fraction to a decimal, we find that she bought 18.32 pounds of meat, which is a terminating decimal.

acc to our question-

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The number of permutations and combinations possible for the formation is: [tex]^{31}C_{11} \times ^{12}C_3 \times ^{3}C_1 \times ^{9}C_4 \times ^{7}C_3[/tex]

What are permutations and combinations?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.The act of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the elements of a set if the set is already ordered. Nearly all areas of mathematics involve permutations in some form or another. They frequently appear when various orderings on particular finite sets are taken into account.

In the given question: we have;

Total number of PLayers = 31;

Number of goalkeeper = 3;

Number of Defender = 12;

Number of Midfielders = 9;

Number of Strikers = 7;

We have to select 11 players

and in that we should have 3 defenders; 4 midfielders, 3 strikers, and 1 goalkeeper;

So the permutation and combination possible for choosing a defender from 12 players are: [tex]^{12}C_3[/tex]

and,

The number of permutations and combinations possible for choosing 1 goalkeeper are: [tex]^{3}C_1[/tex]

A number of permutations and combinations possible for choosing 4 midfielders are: [tex]^{9}C_4[/tex]

The number of permutations and combinations possible for choosing 3 strikers are: [tex]^{7}C_3[/tex]

So, the total number of ways possible is: [tex]^{31}C_{11} \times ^{12}C_3 \times ^{3}C_1 \times ^{9}C_4 \times ^{7}C_3[/tex]

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The measure of the arc 13cm long with a radius = 1  is 13rad

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

Length of an arc = ∅/360 x 2πr

where ∅ = subtended angle in degree

r = 1 = radius of the complete circle

length = 13

13 =  ∅ /360 x  2 x π x 1

but 2π rad = 360  degrees

substitute  2π rad  for 360 into the equation

13 =  ∅/2π rad  x 2 x π x 1

By cross multiplying

∅ = 13 x 2π rad / 2 x π

∅ = 13 rad

In conclusion, the angle subtended by the arc in radians is 13 rad.

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The solution for the given inequality is x < -5.

What is inequality in mathematics?

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

The given inequality is -2x - 6 > x + 9

Subtract x from both sides.

                -2x -6 -x  > x + 9 -x

                -3x - 6 > 9

Add 6 to both sides, and we get

                  -3x - 6 + 6 > 9 + 6  

                   -3x > 15

Divide both sides by -3

                   ⇒ x < -5

Hence, the solution for the given inequality is x < -5.

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The type of transformation is translation

The figures represent the given parameters

On the figure, we can see that:

Both shapes have the same size

This means that none of the shapes is dilated

Also, the orientation of the shapes are the same

This implies that the shapes are not rotated or reflected

So, the closest transformation is translation

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a. The vertical height is y = 100tSinθ - (1/2)9.8t².

b. Time of flight is t = 200sin(theta)/9.8.

A projectile motion is a type of motion that an object or particle experiences when it is launched into a gravitational field, such as from the surface of the Earth, and proceeds along a curved route only under the influence of gravity.

We know At any time t, a projectile's horizontal and vertical displacement are x = V₀tCos θ where V is the initial velocity, θ is the launch angle

y = V₀tSinθ - (1/2)gt².

Given ball was hit with an initial velocity of 100 feet per second

∴ Height in feet is

y = 100tSinθ - (1/2)9.8t².

The time for which the ball will stay in the air is a time of flight which is given by the formula t = 2v₀sin(theta)/g.

t = 200sin(theta)/9.8.

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Answer: 238

Step-by-step explanation:

Bit hard to explain but after some work this is what I got

Hope this helps :)

Solving the absolute value equation, it is found that:

The absolute value equation for this problem is given as follows:

p(t) = 0.165| t - 60 | + 4.8.

In which the variables are:

This percentage was of 13% when:

p(t) = 13.

Hence:

p(t) = 0.165| t - 60 | + 4.8.

13 = 0.165| t - 60 | + 4.8.

0.165| t - 60 | = 8.2.

|t - 60| = 8.2/0.165

|t - 60| = 49.7.

Then the solutions are as follows:

For the percentage of four percent, we have that:

4 = 0.165| t - 60 | + 4.8.

0.165| t - 60 | = -0.8.

The absolute value equation can never assume a negative value, hence the percentage will never be of 4%.

The equation is:

p(t) = 0.165| t - 60 | + 4.8

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The next step to bisect the line segment CD is to make an arc above the line as well as an arc below the line.

How to cut a line segment in half is as follows:

• Place the compass at point D.

• Set the compass to be just a little bit longer than half the length of the line segment.

• Draw arcs above and below the line.

• Do the same thing by keeping the compass at C point while maintaining the same compass width.

• Draw the line segment that passes through the points where both arcs crosses each other.

Hence, after keeping compass on point D, the next step will be to draw an arc above and below the line segment.

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Answer:

The area of the shape is 396 square cm.

Step-by-step explanation:

Answer:

In order to answer this question, the amount she makes must be provided.

The percentage error of Bob’s measurement is 3.87%

The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.

Percentage error can be calculated by the given formula

percentage error=((Exprimental value-Actual value))/(Actual value)∙100

Here, given that

The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml

i.e. exprimental volume=18.8 mL

and, actual volume=18.1 mL

Now, we will calculate the percentage error

So,

percntage error=((18.8-18.1))/18.1∙100

percentage error=0.7/18.1∙100

percentage error=0.0387∙100

percentage error=3.87%

Hence,

       We got percentage error of 3.87% in measurement

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Compared with the beam, the large cube has the same volume but a smaller surface area.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Given that, there are two sets of eight blocks, each with an edge measurement of 1 cm. Two blocks are placed on top of two other blocks to form a big cube. You assemble the second set into a 1-by-8-block straight beam.

Since the volume is the same.

The surface area of a cube,

=6a²

=6(2)²

=6×4

=24 cm²

The surface area of a beam,

=1 × 8

=8 cm²

Thus, compared with the beam, the large cube has the same volume but a smaller surface area.

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Answer: 3x²(x - 5)²

Step-by-step explanation:

Factoring out 3x² of each term leaves you with 3x²(x² - 10x +25)

We can still factor out (x² - 10x +25) to (x-5)(x-5), which is simply (x-5)².

This will leave you with 3x²(x - 5)².

The graph has rotational symmetry about the y-intercept and y-intercept is 0 when x = 0

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of the function is given:

From the graph:

The graph has rotational symmetry about the y-intercept

The y-intercept is 0 when x = 0

Thus, the graph has rotational symmetry about the y-intercept and y-intercept is 0 when x = 0

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Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-1)x+(5×-1)=0

x²-4x-5=0

Alternatively,

if the zeros are 5 and -1 then the quadratic factorizes to (x-5)(x+1) Now expand it

x²+x-5x-5=0

x²-4x-5=0

Identify a quadratic function in standard form with zeros 5 and -1

x (2) + (2)x - 15 = 0

X=3 and x= -5

(x - 3) = 0 and (x + 5) = 0