What transformation(s) were made to the original f(x) = x graph?

The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5

Answer:

a)Fourth coordinate (- 4 , 1 )

b)Dimension : 6 unit by 3 unit

c)Area = 18 square units

Step-by-step explanation:

Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)

Find D.

Let D = (x , y)

For a rectangle, mid point of diagonal are same.

[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]

Since mid-points are same. Equate :

[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]                

[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]

a)

Therefore, D = ( -4, 1)

Since parallel sides of a rectangle are the same.

We will find the length of the sides using distance formula.

Distance between ( 2, 1 ) and ( 2, 4)

[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]

AB = 3

Distance between ( 2 , 4 ) and ( -4 , 4)

[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]

BC= 6

CD is parallel to AB , therefore CD = 3

AD is parallel to BC,  therefore AD = 6

b) Dimensions : length = 6 , breadth = 3

c) Area = Length x Breadth

           = 6 x 3

           = 18 square units

Answer:

25

Step-by-step explanation:

Un polinomio de grado n se escribe como:

P(x) = aₙ*x^n + ... + a₁*x + a₀*x^0

Donde n es el exponente de mayor del polinomio, y decimos que el grado absoluto de este polinomio es n.

En este caso sabemos que tenemos 3 islas, y cada una de ellas representa un monomio ( un monomio es cada uno de los términos de un polinomio).

Sabemos que el grado de cada isla depende de la cantidad de gente que vive en la isla.

Tenemos una con 10 personas, entonces tendremos un término con un exponente igual a 10.

Tenemos una isla con 25 personas, entonces tendremos un término con un exponente igual a 25.

Tenemos una isla con 8 personas, entonces tendremos un término con un exponente igual a 8.

Recordando que el grado absoluto del polinomio es igual al mayor exponente del polinomio, acá podemos ver que el mayor exponente es 25.

Entonces el grado absoluto del polinomio será 25.

The true statement is His model can be improved the most by dividing the spinner into 15 equal spaces.

The correct option is (B)

As per the situation, he divided the spinner in 12 parts but it would be to score more if he divide the spinner in 15 parts in his b.

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Answer:

SSA theorem

Step-by-step explanation:

Given

(a) SSA (b) ASA (c) SAS (d) SSS

Required

Which cannot be used to prove congruence of triangles

In proving the congruence of two or more triangles, the following postulates or theorem are valid and can be used:

ASA, SAS, SSS

The SSA theorem/postulate relies on other postulates and as such, it does not prove congruence on its own.

Answer:

15 inches

Step-by-step explanation:

The formula for the area of a rectangle is base times height so 3*5 which equals 15

The number of the outcomes will be 10 if there is not any tie.

The arrangement of the different things or numbers in a number of ways is called the combination.

Here we need to find the outcomes of the winning of 10 people the combination will be:-

[tex]^{10} C _1=\dfrac{10!}{(10-1)!}=\dfrac{10!}{9!}\\\\\\^{10} C _1 = 10[/tex]

Hence the number of the outcomes will be 10 if there is not any tie.

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Answer:

"B"

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]

[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]

[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]

Answer:

x=21

Step-by-step explanation:

they are corresponding to each other

Explanation:

first term = 33

second term = first term + 16 = 33+16 = 49

third term = second term + 16 = 49+16 = 65

We're adding 16 to each term to get the next term.

Answer:

c is correct

mark as brainiest please

Answer:

first : 1808.64 [tex]in^{2}[/tex]

second : 48

Step-by-step explanation:

Area = [tex]\pi[/tex][tex]r^{2}[/tex]

A = [tex]24^{2}[/tex] x 3.14

second:

A = [tex]4^{2}[/tex] x 3

A= 16 x 3

A = 48

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =  

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in  gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

       3 m = 300 cm

       2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers

Answer:

Step-by-step explanation:

Well I am not sure whether to draw it because there are no options of drawing

The requried Tiles of sizes 3, 4, and 5 have been shown in the image.

A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.

Here,
To draw the designs for sizes 3, 4, and 5 of Johnny's newly designed tile, we need to follow the same pattern as sizes 1 and 2.

Size 3 has a 7x7 grid of tiles with nine white tiles in the center and 16 black tiles around them,
Size 4 has a 9x9 grid of tiles with 16 white tiles in the center and 20 black tiles around them.
Size 5 has an 11x11 grid of tiles with 25 white tiles in the center and 28 black tiles around them.

Thus, the requried Tiles of sizes 3, 4, and 5 have been shown in the image.

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Answer:

15.4 units

Step-by-step explanation:

sqrt(5²+4²) = sqrt(41) = 6.4

the other two legs are 5 and 4

so perimeter

= 4+5+6.4 = 15.4 units

The slope of a function determines the consistency in the functions.

The slope of the function is the change in y /change in x .

The slope of the function determines the change in the value of the function. It determines the consistency of the function. If the slope of the function is changing rapidly then it is said to be inconsistent but if the slopes of the function is not changing rapidly then it is said to be consistent.

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Answer:

-18 =x

Step-by-step explanation:

-3/4 = x/24

Using cross products

-3*24 = 4*x

-72 = 4x

Divide each side by 4

-72/4 = 4x/4

-18 =x

Answer:

B. -18

Step-by-step explanation:

solve the proportion using cross multiplication

swap the side

divide both side by 4

Answer:

384 words per day

Step-by-step explanation:

If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.

Answer:

384 words per day

Step-by-step explanation:

3000-696=2304

So 2304 divided by 6 =348

Answer: 7,000,000

A million= six zeroes

Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions

Each place value represents an additional zero

Answer:

option C

Step-by-step explanation:

2x^2 + 5x + 3

using middle term break method

we need two numbers which gives 6 when multiplied and 5 when added

2x^2 + (3 + 2)x + 3

2x^2 + 3x + 2x + 3

x(2x + 3) + 1(2x + 3)

(2x + 3)(x + 1)

Answer:

[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]

0.0426 × y = 4260

y = 4260÷0.0426

y=100000

Answer:

yes for all 4.

Step-by-step explanation:

I am not sure I see the whole information.

but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.

the simplest polygon is a triangle.

the sum of all angles in a triangle is always 180 degrees.

so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).

so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.

similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.

for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.

for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.

Answer:

Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.

Answer:

x = 13

Step-by-step explanation:

→ Remember the amount of degrees a triangle sums to

180°

→ Make an equation

8x - 44 + 8x - 44 + 8x - 44 = 180

→ Simplify

24x - 132 = 180

→ Add 132 to both sides

24x = 312

→ Divide both sides by 24

x = 13

Answer:(-2,2)

Step-by-step explanation:

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

⇒7/2x=-7

÷7⇒1/2x=-1

×2⇒x=-2

x=-2 into the equation

⇒2×(-2)+3y=2

⇒3y=6

⇒y=2

Answer:

(-2 , 2)

Step-by-step explanation:

2x + 3y = 2 ---------------(I)

y = (1/2)x + 3  --------------(II)

Substitute y value in equation (I)

[tex]2x + 3*[ \frac{1}{2}x + 3] = 2\\\\2x + 3*\frac{1}{2}x+3*3=2\\\\2x+ \frac{3}{2}x+9=2\\\\2x + \frac{3}{2}x = 2-9\\\\2x + \frac{3}{2}x = -7 \\[/tex]

Multiply the whole equation by 2

[tex]2*2x + 2* \frac{3}{2}x = -7 *2\\\\4x + 3x = -14[/tex]

        7x = -14

           x = -14/7

x = -2

Plugin x = -2 in equation (I)

2*(-2) + 3y= 2

-4 + 3y = 2

Add 4 to both sides

3y = 2+4

3y = 6

Divide both sides by 3

y = 6/3

y = 2

Answer:

[tex]y=-5x+39[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

[tex]y=mx+b[/tex]

Plug in the slope -5

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in the given point (7,4) and solve for b

[tex]4=-5(7)+b\\4=-35+b[/tex]

Add 35 to both sides to isolate b

[tex]4+35=-35+b+35\\39=b[/tex]

Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+39[/tex]

I hope this helps!

Answer:

57.2°

Step-by-step explanation:

sin 26° = x/19

x = 8.329051789

[tex]sin^{-1}[/tex] (7 / 8.329051789)

Check the picture below.  Notice, we're skipping the bottom part of it.

[tex]\begin{array}{llll} front&4\cdot 3&=&12\\ back&4\cdot 3&=&12\\ right&3\cdot 4&=&12\\ left&3\cdot 4&=&12\\ top&3\cdot 3&=&9\\ \cline{1-4} total&&&57 \end{array}[/tex]

Answer:

a.) 145°

Step-by-step explanation:

First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.

Answer:

[tex]= \frac{333}{500}[/tex]

Step-by-step explanation:

66.6% = [tex]\frac{66.6}{100}= \frac{33.3}{50}= \frac{33.3*10}{50*10}\\\\\\[/tex]

         [tex]= \frac{333}{500}[/tex]