12. Name the property the equation illustrates.
0 + x = x
O Commutative Property of Addition
O Identity Property of Addition
O Multiplication Property of o
O Inverse Property of Multiplication

Answer:

C

Step-by-step explanation:

first you subtract 1 from 4 to get 3 and then you add 3 to -2 to get 1 so the coordinates are (3, 1)

The coordinate of B' is,

B' = (3, 1)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;'

Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and

D(1, -4).

Since, It is translated 1 unit to the left and 3 units up.

Now, The rule for translated 1 unit to the left and 3 units up is,

(x, y) = (x - 1, y + 3)

So, The coordinate of B' is,

B' = (4 - 1, - 2 + 3)

B' = (3, 1)

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For this case we have that by definition, the distance between two points is given by:

[tex]d = \sqrt {(y2-y1) ^ 2 + (x2-x1) ^ 2}[/tex]

We find the distance AB:

[tex]A: (3,4)\\B: (- 5, -2)[/tex]

[tex]AB = \sqrt {(x2-x1) ^ 2 + (y2-y1) ^ 2}\\AB = \sqrt {(- 5-3) ^ 2 + (- 2-4) ^ 2}\\AB = \sqrt {(- 8) ^ 2 + (- 6) ^ 2}\\AB = \sqrt {64 + 36}\\AB = \sqrt {100}\\AB = 10[/tex]

We have the BC distance:

[tex]B: (- 5, -2)\\C: (5, -2)[/tex]

[tex]BC = \sqrt {(5 - (- 5)) ^ 2 + (- 2 - (- 2)) ^ 2}\\BC = \sqrt {(5 + 5) ^ 2 + (- 2 + 2) ^ 2}\\BC = \sqrt {(10) ^ 2 + (0) ^ 2}\\BC = \sqrt {100}\\BC = 10[/tex]

We find the CA distance:

[tex]C: (5, -2)\\A: (3,4)[/tex]

[tex]CA = \sqrt {(3-5) ^ 2 + (4 - (- 2)) ^ 2}CA = \sqrt {(- 2) ^ 2 + (4 + 2) ^ 2}\\CA = \sqrt {4 + 36}\\CA = \sqrt {40}\\CA = \sqrt {4 * 10}\\CA = 2 \sqrt {10}[/tex]

Thus, the perimeter is given by:

[tex]10 + 10 + 2 \sqrt {10} = 20 + 2 \sqrt {10}[/tex]

ANswer:

[tex]20 + 2 \sqrt {10}[/tex]

Answer:

44506

Step-by-step explanation:

458687+5800=51487

51487-6981=44506

Answer:

Limitation

Step-by-step explanation:

Answer:

The scores for period 1 had the highest median.

Step-by-step explanation:

The median is the middle score.

Thus if the class had the highest median, it would mean that more scores are higher, that there are more high scores, than the other classes.

Step-by-step explanation:

7(x + 6) = 42

distributive property:  a(b + c) = ab + ac

(7)(x) + (7)(6) = 42

7x + 42 = 42

subtraction property of equality  (subtract 42 from both sides)

7x + 42 - 42 = 42 - 42

7x = 0

division property of equality   (divide both sides by 7)

7x : 7 = 0 : 7

x = 0

Answer:

1. Distributive property: a(b + c) = a.b + a.c

2. Property of subtraction of equality

3. Property of division of equality

Step-by-step explanation:

The given equation is 7x + 42 = 42

7(x+6)=42    [Distributive property: a(b + c) = a.b + a.c]

7x+42=42   [Property of subtraction of equality]

Subtract 42 from both sides.

7x + 42 - 42 = 42 - 42

7x=0  

Property of division of equality

Divide both sides by 7.

x=0

Answer:

a line that might best estimate the data and be used for predicting values.

Choice B is correct

Step-by-step explanation:

A line of fit might be defined as;

a line that might best estimate the data and be used for predicting values.

This line connects most of the data points thus minimizing the squared residuals of the regression.

I hope this helps...

Answer:

A line of fit might be defined as:

b)  a line that might best estimate the data and be used for predicting values.

Step-by-step explanation:

Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

Line of best fit is actually a good approximation of data and is used to predict values on the graph.

Answer:

[tex]\large\boxed{-\dfrac{5}{4}}[/tex]

Step-by-step explanation:

[tex]\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=0\ \text{and}\ x=4.\\(look\ at\ the\ picture)\\\\f(0)=5,\ f(4)=0\\\\\text{Substitute:}\\\\\dfrac{f(4)-f(0)}{4-0}=\dfrac{0-5}{4}=-\dfrac{5}{4}[/tex]

To find the average rate of change of the function from x = 0 to x = 4, subtract the y-coordinate at x = 0 from the y-coordinate at x = 4, then divide by 4. The exact answer depends on the specific values provided by the graph of the function.

The average rate of change of a function f(x) on the interval [a, b] is given by the formula: (f(b) - f(a)) / (b - a). For the given problem, we are asked to find the average rate of change from x = 0 to x = 4. However, the specific values of f(0) and f(4) on the graph are not provided. Generally, to find the average rate of change in this case, you will need to subtract the y-coordinate at x = 0 (f(0)) from the y-coordinate at x =   4 (f(4)), then divide by the difference in x-values (4 - 0). Without the exact values from the graph, a specific numerical answer can't be provided.

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Answer:

(- 1, 0), (9, 0)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (4, 75), so

y = a(x - 4)² + 75

To find a substitute (0, 27) into the equation

27 = a(- 4)² + 75 , that is

27 = 16a + 75 ( subtract 75 from both sides )

16a = - 48 ( divide both sides by 16 )

a = - 3, thus

y = - 3(x - 4)² + 75 ← equation in vertex form

To obtain the x- intercepts let y = 0

- 3(x - 4)² + 75 = 0 ( subtract 75 from both sides )

- 3(x - 4)² = - 75 ( divide both sides by - 3 )

(x - 4)² = 25 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{25}[/tex] = ± 5

Add 4 to both sides

x = 4 ± 5, hence

x = 4 - 5 = - 1 or x = 4 + 5 = 9

Substitute these values into the equation for corresponding values of y

x = - 1 : y = - 3(- 5)² + 75 = - 75 + 75 = 0 → (- 1, 0)

x = 9 : y = - 3(5)² + 75 = = 75 + 75 = 0 → (9, 0)

The x- intercepts are (- 1, 0), (9, 0)

Answer:

The x intercepts are (-1, 0) and (9, 0).

Step-by-step explanation:

We can write the equation in vertex form:

y = a(x - b)^2 + c

Here b = 4 and c = 75 so we have

y = a(x - 4)^2 + 75 where a is a constant to be found.

The y-intercept is (0,27) so

27 = a(0 - 4)^2 + 75

16a = 27 - 75

a = -48/16 = -3

So to find the x-intercepts we solve the equation:

-3(x - 4)^2 + 75 = 0

(x - 4)^2 = -75 / -3 = 25

x - 4 = +/- √25

x =   5+ 4 = 9 , -5 + 4 = -1.

Answer:

80 times 13.58 =1086400

Step-by-step explanation:

Answer:

{0,-8}

Step-by-step explanation:

Factor!

3x(x+8)=0

3x=0  or x+8=0

x=0    or x=-8

Answer:

x=0    x =-8

Step-by-step explanation:

3x^2+24x=0

Factour out a 3x

3x(x+8) =0

Using the zero product property

3x =0   x+8 =0

x=0     x+8-8 =0-8

x=0    x =-8

Answer:

B) symmetric

Step-by-step explanation:

We will find the sample space for rolling two dices first

Here first value in ordered pair represents yellow die and second represents blue die

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The subtraction gives us:

0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0

So the distribution will be as follows:

X      5       4       3       2        1        0        -1       -2      -3       -4      -5

P(X)  1/36  2/36  3/36 4/36  5/36  6/36  5/36  4/36  3/36  2/36  1/36

By observing the probabilities, we can conclude that the distribution will be symmetric

Hence, Option B is correct ..

Answer:

its B symmetric

Step-by-step explanation:

got it right on ed

Answer:

Acute isosceles triangle

Step-by-step explanation:

because an acute angle is more than 45 but less then 90.

that's all i know sorry!

Answer:

Step-by-step explanation:

We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.

Here a = 2, b = -20 and c = 100.  Then the x-coordinate of the vertex is at

x = -(-20) / (2*2), or x = 5.

Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex.  It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50.  y = 50.

The vertex is at (5, 50).  This states that the stock reaches its minimum value, $50 per share), after 5 months.  From that time on, the stock appreciates (increases) in value.

Answer:

1/20

Step-by-step explanation:

To calculate how many potential combinations of genre and duration, we multiply the number of options in each category.

5 genres * 4 durations = 20 combinations

So for each film placed, there is a 1 in 20 chance that it will be a specific combination.

The probability that the next movie added is an action movie that is longer than 120 minutes is 1/20.

To calculate the probability that the next movie added is an action movie that is longer than 120 minutes, we need to make some assumptions, as the exact numbers of each category are not provided.

If we assume that movies are equally distributed among the different genres and durations, and there are 5 genres and 3 durations, we can conduct a probability calculation.

To calculate the probability that the next movie is an action movie longer than 120 minutes:

Calculate the probability of choosing an action movie, with 5 genres,

the probability is 1/5.

Calculate the probability of the movie being longer than 120 minutes, with 4 durations,

the probability is 1/4.

Multiply these two probabilities to get the combined probability

1/5 × 1/4 = 1/20 or 5%

Answer:

$ 31050

Step-by-step explanation:

Step 1 : Write the formula for calculating simple interest.

Simple Interest = P x R x T

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

Step 2: Substitute values in the formula

Simple Interest = 30,000 x 6 x 7/12

                                       100

Simple Interest = $1050

Step 3: Calculate the amount due at maturity

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

[tex]\bf 9x^2+2=10x\implies 9x^2-10x+2=0 \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}x^2\stackrel{\stackrel{b}{\downarrow }}{-10}x\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}~~\checkmark\\ negative&\textit{no solution} \end{cases} \\\\\\ (-10)^2-4(9)(2)\implies 100-72\implies 28[/tex]

Answer:

43.98 cm

Step-by-step explanation:

Circumference is π x diameter

Diameter is 2 x radius

276.32/π = 87.955 (3dp)

87.955/2 = 43.978 (3dp)

43.98cm = radius

The equations representating the number of boxes Alonzo, Cory, and Bennett loaded are b = 0.7m, b = 1.4m, and b = 0.35m respectively. This is calculated based on the fact that Alonzo loaded 14 boxes in 20 minutes, and Cory and Bennett loaded twice and a quarter as much as Alonzo respectively.

On the basis given, Alonzo loaded 14 boxes in 20 minutes. So, the number of boxes loaded per minute, m , can be calculated as b = 14 boxes ÷ 20 minutes = 0.7 m.

Cory loaded twice as many boxes as Alonzo, so his equation is b = 2 * 0.7m = 1.4m.

Bennett loaded one fourth as many boxes as Cory, which means Bennett's equation can be determined as b = 1/4 * 1.4m = 0.35m.

Based on this, the true statements are:

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The number of boxes loaded by each player can be represented by different equations. Alonzo and Bennett loaded boxes at the same rate.

Explanation:

The proportional relationship between the number of boxes, b, that each player loaded onto the truck and the number of minutes, m, spent loading boxes can be represented by the equations:

Alonzo: b = 0.71m

Bennett: b = 0.25c (where c is the number of boxes Cory loaded)

Cory: b = 2a (where a is the number of boxes Alonzo loaded)

Based on the given rates, Alonzo and Bennett loaded boxes at the same rate.

Answer:

Step-by-step explanation:

f(-2) = 3*abs(x - 2) + 1

f(-2) = 3*abs(-2-2) + 1

f(-2) = 3* abs(-4) + 1

f(-2) = 3 * 4 + 1

f(-2) = 13

===========

f(1) = 3*abs(1 - 2) + 1

f(1) = 3*abs(-1) + 1

f(1) = 3*1 + 1

f(1) = 4

Step-by-step explanation:

Volume of a pyramid is:

V = ⅓ AH

where A is the area of the base and H is the height of the pyramid.

The base is a triangle.  Area of a triangle is:

A = ½ bh

where b is the base length and h is the height.

A = ½ (4)(1.5)

A = 3

V = ⅓ (3)(9)

V = 9

The volume is 9 in³.

The volume of the triangular pyramid with a triangular base is 9 cubic inches.

The volume of the triangular pyramid with a height h and base area B is

Volume = 1/3 × B × h cubic units

The area of a triangle is 1/2 × b × h sq. units

where b - base and h - height the triangle.

It is given that a triangular pyramid has a triangular base with

base length b = 4 inches

height of the triangle h = 1.5 inches and

height of the pyramid = 9 inches

So, the volume of the pyramid = 1/3 × B × h

Where base area B = 1/2 × b × h

⇒ B = 1/2 × 4 × 1.5

       = 3.0 sq. inches

And the volume = 1/3 × 3.0 × 9

                             = 9 cubic inches.

Therefore, the volume of the given triangular pyramid is 9 cubic inches.

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Answer:

16 inches

Step-by-step explanation:

We are given that the diagonal of a parallelogram is 10 inches long and makes angles of 25° and 43° with the sides.

So the angles of the parallelogram are:

α = 25° + 43° = 68°

β = 180° - 68° = 112°

Using the sine law assuming x to be the longest side of the parallelogram:

[tex]\frac{x}{sin43} =\frac{10}{sin 25}[/tex]

[tex] x = 1 6 . 1 4 [/tex]

Therefore, the longest side is 16 inches.

Answer:

[tex]\large\boxed{y=-(2)^x+3}[/tex]

Step-by-step explanation:

[tex]\text{A function y = a(b)}^x\ \text{has a range:}\\\\y<0\ \text{for}\ a<0\\\\y>0\ \text{for}\ a>0\\\\f(x)+n-\text{shift a graph}\ n\ \text{units up}\\f(x)-n-\text{shift a graph}\ n\ \text{units down}\\f(x+n)-\text{shift a graph}\ n\ \text{units to the left}\\f(x-n)-\text{shift a graph}\ n\ \text{units to the right}\\\\\text{We have the range}\ y<3.\ \text{Therefore}\ a<0\ \text{and}\ n=3.[/tex]

The function with a range of y < 3 among the given options is y=-(2)x +3, because it decreases by 2 for each increase in x, starting from y=3.

The function which has a range of y < 3 is y=-(2)x +3. This is an example of a linear function where the slope is negative and the y-intercept is 3. This means that the y-values (the range) will always be less than 3. This is because the value of y will decrease by 2 for every increase in x, starting from y=3. For the other functions, the range of y-values is not consistently less than 3.

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f(x) = 2^x

f(5) = 2^5

f(5) = 32

Answer:

m= -2/3 or -0.6

Step-by-step explanation:

6m-1= -5+1

6m= -4/-6

m= - 2/3 or -0.6  

Answer:

m = -2/3

Step-by-step explanation:

-5 = 6m-1

Rewrite

6m - 1 = -5

Add 1 to both sides

6m = -4

Divide both sides by 6

m = -4/6

Simplifying

m = -2/3

Answer:

9

Step-by-step explanation:

Answer:

b=12 , a=6[tex]6 \sqrt{3}[/tex] , c=6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

based on the graph you are showing, you can use  "SOH CAH TOA"

for right triangles, then you use "CAH" for get b:

[tex]Cos(60)=\frac{6}{b}\\b*Cos(60)=6\\b*\frac{1}{2}=6\\ b=6*2\\b=12\\\\[/tex]

you do the same for a, but in this case you use sin, not cos:

[tex]sin(60)=\frac{a}{b} \\b*sin(60)=a\\\\12*\sqrt{3}/2=a\\ 6\sqrt{3}=a\\[/tex]

and with your b value, you can get c, but now you use Cos with the 45 angle:

[tex]b*cos(45)=c\\12*\sqrt{2}/2=c\\ 6\sqrt{2}=c[/tex]

remember SOH CAH TOA means, Sin(x)=opposite/Hypotenuse, Cos(x)=adjacent/hypotenuse, and tan(x)=Opposite/adjacent.

Answer:

66 cm

Step-by-step explanation:

Let's define the circumference first.

It is the boundary of any curved geometric figure specially circle.

We are given the diameter of the circle in the diagram

The diameter is:

d = 21 cm

to find the circumference, we have to find the radius of the circle first.

As radius is half of diameter

d = r/2

= 21/2

= 10.5 cm

The formula for circumference is:

[tex]C = 2\pi r\\Putting\ the\ values\\C = 2 * \frac{22}{7}*10.5\\ C = \frac{462}{7}\\ C= 66\ cm[/tex]

The circumference is 66 cm ..

Answer:

The circumference of the circle is 66 cm