5. Find the area of each parallelogram. A= square centimeters B= square centimeters C= square units

The solution set of the equation is: x = -3, x = 3.

Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:

x² + 12 = 21

Subtract 21 from both sides of the equation

x² + 12 - 21 = 21 - 21

x² + 12 - 21 = 0

x² - 9 = 0

Find the difference of the two squares

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

x = -3

x = 3

Therefore, the solution set of the equation is: x = -3, x = 3.

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y = 7/2x represents the relation that is shown in the graph.

Here the line goes through points (0, 0), (1, 3.5), (2, 7).

This means that these points must satisfy the equation of the line.

Let us, check each equation one by one

A. y = x + 2/7

Here if we take x = 0,

y = 0 + 2/7

y = 2/7

Thus, (0,0) does not satisfy and hence, we eliminate this option.

B. y = x + 7/2

Here if x = 0

y = 7/2

Thus, again (0,0) does not satisfy and hence, we eliminate this option.

C. y = 2/7 x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 2/7

or y = 0.28

Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.

D. y = 7/2x

Here, if x = 0

y = 0

Hence, (0,0) satisfies.

if x = 1

y = 7/2

or y = 3.5

Hence, (1, 1.35) satisfies.

if x = 2

y = (7/2)(2)

y = 7

Hence, (2, 7) also satisfies.

Thus, y = 7/2x represents the relation that is shown in the graph.

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Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7

y = x + 7/2

y = 2/7 x

y = 7/2x

The iv (insulin rate) rate should be 7 ml/hr.

Here,

Regular insulin is ordered iv at 7 units/hour.

The iv bag contains 100 units of regular insulin in 100ml of d5w.

We have to find the iv rate.

What is insulin rate?

Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.

Now,

Regular insulin is ordered iv at 7 units/hour.

The iv bag contains 100 units of regular insulin in 100ml of d5w.

The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr

So, The iv (insulin rate) rate should be 7 ml/hr.

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Answer:

ydiyetd5dtd7rowo47do7tso47syjfzj4tsuryusu6eaitddtsie6i64so7rso6ro6zoyds7orsoslu4sp

Answer:

a 5 8 3

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

did I help you

Answer:

yo same

Step-by-step explanation:

ur lookin pretty shreksy

Answer:

x = 3

Step-by-step explanation:

Separate | 2 + x | = | x - 8 | into 2 possibilities

2 + x = x - 8

2 + x = -x + 8 (right side's signs are swapped)

Solve the equations:

Top equation results in no solution as the x's cancel out.

2 + x = -x + 8

2x = 6

x = 3

| 2 + 3 | = | 3 - 8 |

| 5 | = | -5 |

5 = 5

This is the correct solution.

Let's solve the problem,

→ |2 + x| = |x - 8|

→ 2 + x = -(x - 8)

→ 2 + x = -x + 8

→ x + x = 8 - 2

→ x = 6/2 = 3

Hence, the value is 3.

1) This is an arithmetic sequence and the complete sequence is;

5, 10, 15, 0, 25, 30, 35,....

2)This is a geometric sequence and the complete sequence is given as;

20, 10, 5, 2.5, 1.25, .....

3) This is an arithmetic sequence and the complete sequence is given as; 2, 5, 8, 11, 14, 17, .....

4) This is an arithmetic sequence and the complete sequence is given as; 30, 24, 18, 12, 6,.....

1) The sequence is given as;

5, 10, 15, ___, 25, 30, _____

This is an arithmetic sequence with the formula;

a_n = 5 + (n - 1)d

In this case, the common difference is;

d = 10 - 5 = 5

The complete sequence is;

5, 10, 15, 0, 25, 30, 35,....

2)The sequence is given as;

20, 10, ___, 2.5,  _____, .....

This is an geometric sequence with the formula;

a_n = 20r^(n - 1)

In this case, the common ratio is;

r = 10/20 = 1/2

The complete sequence is given as;

20, 10, 5, 2.5, 1.25, .....

3)The sequence is given as;

2, 5, 8, ___, 14,  _____, .....

This is an arithmetic sequence with the formula;

a_n = 2(n - 1)d

In this case, the common difference is;

d = 5 - 2 = 3

The complete sequence is given as;

2, 5, 8, 11, 14, 17, .....

4) The sequence is given as;

30, 24, ___, 12, 6,.....

This is an arithmetic sequence with the formula;

a_n = 30(n - 1)d

In this case, the common difference is;

d = 24 - 30 = -6

The complete sequence is given as;

30, 24, 18, 12, 6,.....

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Answer:

[tex]49n^2-70n+25[/tex]

Step-by-step explanation:

Since one side of the square is (7n-5), the area of the square must be [tex](7n-5)^2[/tex]. Simplifying we get [tex]49n^2-70n+25[/tex].

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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h = 2A/b

An equation is a group of expressions formed by using arithmetic operations, along with an equality sign.

Here, we are given an equation, A = 1/2bh

As we are not given any values for any of the variables, we can find the value of h in terms of A and b only.

To do this, we keep h on one side and take all the other terms to the other side of the equation.

A = 1/2bh

Multiplying both sides by 2,

⇒  2A = 2/2bh

2A = bh

now, dividing both sides by b,

2A/ b = bh/b

2A/b = h

h = 2A/b

Thus, the value of h is 2A/b

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Answer:

48

Step-by-step explanation:

Essay writers are okay but seriously just gotta include the answer ;-;

Answer: 6 should be your answer

Explanation: Depending on how many and how large the numbers are, there are a variety of approaches to compute the GCF of a collection of integers.

Simply look at each number's components or multiples to get its largest common multiple for lesser numbers.

These factors look like this for 6 and 42:

1, 2, 3, and 6 are the six factors.

1, 2, 3, 6, 7, 14, 21, and 42 are the 42 factors.

hi

area of  circle is  π* radius²  

as radius is half diameter, and as diameter is  22 , so radius is  22 /2 = 11 cm

so area is  11²π    and  11² = 121 then   area is  121π

as it is say to use  3.14 for pi , then 121*3.14 =  379.94

but 379.94 is the area of the whole circle , and we only have half.  

so  :  379.94 / 2 = 189.97

area of  semi circle is  189.97

The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.

In the mapping shown in the diagram attached below, we have the following:

The domain of the relation is: {-1, 0, 1, 2, 3}

The range of the relation is: {3, 5, 11, 21}

Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

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Answer:

177

Step-by-step explanation:

All Done! Please mark as Brainliest :)

Answer:

177

Step-by-step explanation:

The tenth is 9 which means you round up so the correct answer is 177.

Hope It Helps Sorry If I'm Wrong

Answer:

11

Step-by-step explanation:

total angle of a polygon formula:

180 * (n-2)     n is no. of sides

180 * (n - 2) = 1620

1620/180 = n-2

9 = n - 2

9 + 2 = n

n = 11

Angle 5 = 180 - 146 = 34

Angle 6 = 146 since vertical angles are congruent

Angle 7 = 34 since vertical angles are congruent, or you could say 180-146 = 34 again. Any pair of adjacent angles add to 180. All four angles add to 360.

There is no real solution of given equation.

There is a special case that will tell us if a quadratic has no real solution: if b = 0 when a and c share the same sign (both positive or both negative), then there will be no real solution. The quadratic formula becomes much simpler when b = 0.

given equation [tex]x^{2} =-16[/tex]

         [tex]x=\sqrt{-16},\:x=-\sqrt{-16}[/tex]

          [tex]x=4i, x=-4i[/tex]

we get imaginary solutions of given equation

so, there is no real solution  equation is exist.

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Answer: 9x^2-9x-10 ==> D

Step-by-step explanation:

(3x+2)(3x-5)=

3x*3x + (-5)(3x) + 2*3x + (-5)(2)=

9x^2 - 5(3x) + 6x - 5(2)=

9x^2-15x+6x-10=

9x^2-15x+6x-10= 9x^2-9x-10 ==> D

=================================================

Explanation:

Let's make

y = 3x+2

So we can replace the (3x+2) with y

We go from (3x+2)(3x-5) to y(3x-5)

Distribute that y term through

y(3x-5)

y(3x) + y(-5)

3xy - 5y

Then plug in y = 3x+2 and distribute two more times

3xy - 5y

3x( y ) - 5( y )

3x( 3x+2 ) - 5( 3x+2 )

3x(3x) + 3x(2) - 5(3x) - 5(2)

9x^2 + 6x - 15x - 10

9x^2 - 9x - 10

which seems to point to choice D assuming the -9 in the middle is supposed to be -9x

------------------

Side note: Alternative methods are the FOIL rule and the box method.

Answer:

7.62×10^-5

Step-by-step explanation:

Answer: 0.000076

Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)

= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)

= 0.000084 - 0.000008

= 0.000076

The standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

∑(x(i) - X)² = 500

n = 101

SD = √(500/101-1)

SD = √5

SD = 2.236 ≈ 2.24

Thus, the standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.

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From the rule for when a relation represents a function, we have that:

16) Is not a function.

17) Is a function.

18) Is not a function.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

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The locations of the vertices are shown below:

Herein we find four representations of polygons on Cartesian plane and we must determine the coordinates of the images generated by translation, a kind of rigid transformations. Translation is described by the following operation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Case 1 (K(x, y) = (3, - 3), X(x, y) = (4, - 3), R(x, y) = (3, - 5), T(x, y) = (- 8, 7))

K'(x, y) = (3, - 3) + (- 8, 7) = (- 5, 4)

X'(x, y) = (4, - 3) + (- 8, 7) = (- 4, 4)

R'(x, y) = (3, - 5) + (- 8, 7) = (- 5, 2)

Case 2 (E(x, y) = (0, 2), X(x, y) = (3, 3), V(x, y) = (4, 0), Z(x, y) = (2, - 4), T(x, y) = (- 4, - 1))

E'(x, y) = (0, 2) + (- 4, - 1) = (- 4, 1)

X'(x, y) = (3, 3) + (- 4, - 1) = (- 1, 2)

V'(x, y) = (4, 0) + (- 4, - 1) = (0, - 1)

Z'(x, y) = (2, - 4) + (- 4, - 1) = (- 2, - 5)

Case 3 (G(x, y) = (- 4, 5), J(x, y) = (- 3, 4), U(x, y) = (- 5, 2), T(x, y) = (6, 0))

G'(x, y) = (- 4, 5) + (6, 0) = (2, 5)

J'(x, y) = (- 3, 4) + (6, 0) = (3, 4)

U'(x, y) = (- 5, 2) + (6, 0) = (1, 2)

Case 4 (V(x, y) = (0, 0), Y(x, y) = (- 5, 2), F(x, y) = (- 3, 4), T(x, y) = (3, - 5))

V'(x, y) = (0, 0) + (3, - 5) = (3, - 5)

Y'(x, y) = (- 5, 2) + (3, - 5) = (- 2, - 3)

F'(x, y) = (- 3, 4) + (3, - 5) = (0, - 1)

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Answer:

See attachments.

Step-by-step explanation:

A translation is a type of transformation that moves a figure left, right, up or down.  Every point on the original figure is translated (moved) by the same distance in the same direction.

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x-8, y+7)[/tex]

This tells us to subtract 8 from the x-values and add 7 to the y-values.

[tex]\sf \implies K(3,-3) \rightarrow K'(3-8, -3+7)=K'(-5,4)[/tex]

[tex]\sf \implies R(3,-5) \rightarrow R'(3-8, -5+7)=R'(-5,2)[/tex]

[tex]\sf \implies X(4,-3) \rightarrow X'(4-8, -3+7)=X'(-4,4)[/tex]

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x-4, y-1)[/tex]

This tells us to subtract 4 from the x-values and subtract 1 from the y-values.

[tex]\sf \implies E(0,1) \rightarrow E'(0-4, 1-1)=E'(-4,0)[/tex]

[tex]\sf \implies X(3,3) \rightarrow X'(3-4, 3-1)=X'(-1,2)[/tex]

[tex]\sf \implies V(4,0) \rightarrow V'(4-4, 0-1)=V'(0,-1)[/tex]

[tex]\sf \implies Z(2,-4) \rightarrow Z'(2-4, -4-1)=Z'(-2,-5)[/tex]

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x+6, y)[/tex]

This tells us to add 6 to the x-values and the y-values remain unchanged.

[tex]\sf \implies G(-4,5) \rightarrow G'(-4+6, 5)=G'(2,5)[/tex]

[tex]\sf \implies J(-3,4) \rightarrow J'(-3+6, 4)=J'(3,4)[/tex]

[tex]\sf \implies U(-5,2) \rightarrow U'(-5+6, 2)=U'(1,2)[/tex]

Coordinates of the given pre-image:

Given mapping rule:

[tex](x, y) \rightarrow (x+3, y-5)[/tex]

This tells us to add 3 to the x-values and subtract 5 from the y-values.

[tex]\sf \implies F(-3,4) \rightarrow F'( -3+3, 4-5)=F'(0,-1)[/tex]

[tex]\sf \implies V(0,0) \rightarrow V'( 0+3, 0-5)=V'(3,-5)[/tex]

[tex]\sf \implies Y(-5,2) \rightarrow Y'( -5+3, 2-5)=Y'(-2,-3)[/tex]

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Answer:

Step-by-step explanation:

10 x 21 - 61

210 - 61= 149

18 x 8 + 5

144 + 5= 149

21 + 10= 31

(Don't need to right this part down)

Since the 149 is parallel or the same size on the opposite side, it should be the same answer

Answer:KIH=18

Step-by-step explanation:

4x+3+4x+3=12x

X=1.5

4(1.5)+3=9

4(1.5)+3=9

12(1.5)=18

Answer:

B

Step-by-step explanation:

Answer B is the result of simplifying