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By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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Therefore, the area of the triangle ABC is approximately 18096.3 square units.

What is the area of the triangle?

To calculate the area of a triangle, use the formula area = 1/2 * base * height.

We can use Heron's formula to find the area of the triangle ABC when the lengths of its three sides are known:

\(Area = {\sqrt{(s(s-a)(s-b)(s-c))}\)

where "s" is the semiperimeter of the triangle, which is half the sum of the lengths of its three sides:

s = (a + b + c)/2

In this case, we have:

a = AB = 154

b = BC = 346

c = AC = 349

So the semiperimeter is:

s = (a + b + c)/2 = (154 + 346 + 349)/2 = 424.5

Now we can use Heron's formula to find the area of the triangle

\(Area = \sqrt{(s(s-a)(s-b)(s-c))}\\\\Area = \sqrt{(424.5(424.5-154)(424.5-346)(424.5-349))}\\\\Area= 18096.3\)

Therefore, the area of the triangle ABC is approximately 18096.3 square units.

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the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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Answer:

K = 7/m

lmk if im wrong

\( \boxed{ \sf \: 2) k = 7m }\)

Let's Solve~

Hope It's Helps~

Answer:

option 1

Step-by-step explanation:

\(volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)\)

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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8^2 + 2 = 64 + 2 = 66

The answer is 66 because 8 to the second power is 64 and then you add 2.

Answer:

66

Step-by-step explanation:

8^2 is equal to 64

64 +2 = 66

8^2 is 8x8

so 8x8= 64

64+2 is 66

ANSWER

EXPLANATION

We want to find the first term of the sequence.

The general equation for the nth term a geometric sequence is written as:

where a = first term; r = common ratio

Let us use this to write the equations for the third term and the fifth term.

For the third term, n = 3:

For the fifth term, n = 5:

Let us make a the subject of both formula:

and:

Now, equate both equations above and solve for r:

Now that we have the common ratio, we can solve for a using the first equation for a:

That is the first term.

A linear correlation between the "percent of population 25 years and over with no high school diploma" and the "percent of people in poverty" suggests that there is a relationship between the two variables.

While there may be a correlation between a decrease in the "percent of population 25 years and over with no high school diploma" and a decrease in the "percent of people in poverty," it is important to note that correlation does not imply causation.

Other factors such as job availability, income inequality, and social support systems also play significant roles in determining poverty rates. Additionally, linear correlation alone cannot account for complex interactions and multiple variables that contribute to poverty levels, highlighting the limitations of relying solely on a linear correlation analysis.

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Answer:

x=5i√2,−5i√2

Tap to view steps...

Step-by-step explanation:

math, way, . , com

Based on the figures given in the table, the rate of change of the function is b. 5.

This can be found as:

= (Y₂ - Y₁) / (X₂ - X₁)

Use points:

(0, 1/2) and (1, 5/2)

Solving gives:

= (5/2 - 1/2) / (1 - 0)

= 5

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Answer:

true yes sir

Step-by-step explanation:

Answer:

Step-by-step explanation:

37,4gam

Answer:

6. 3.14 7. 172.03 8. 78.54 9. 380.13 10. 19.63 11.28.27

Answer:

Find the value of sin 135.

We have to find the value of sin 135º

Solution

sin(135) can be expressed as = sin (90 + 45)

Using the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B) we will expand the above sin value

= sin (90 + 45) = sin(90)cos(45) + cos(90)sin(45)

On substituting the known values we get

= ( 1 x 1/√2) + (0 x 1/√2)

= 1/√2

= 0.7071067. . .

Answer

Hence the value of sin 135º=  1/√2 or sin 135º= 0.7071067.

Step-by-step explanation:

this would be correct.

The required value of  sin 45° and sin 135º is \(\frac{\sqrt{2} }{2}\)  and \(\frac{1}{\sqrt{2} }\).

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given:

The given right triangle having it sides are 1 ,1, \(\sqrt{2}\).

According to given question we have

By the formula of trigonometry we get ,

This is a common value, in which

sin 45º=\(\frac{1}{\sqrt{2} }\)

We can now rationalize the fraction, which comes out to:

=

\(\frac{1}{\sqrt{2} } *\frac{1}{1} \\\\=\frac{1}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }\\\\=\frac{\sqrt{2} }{2}\)

The common value of sin(135) can be expressed as

= sin (90 + 45)

By using the identity

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

= sin (90 + 45) = sin(90)cos(45) + cos(90)sin(45)

On substituting the known values we get,

\(= ( 1 * \frac{1}{\sqrt{2} } ) + (0 *\frac{1}{\sqrt{2} } )\\=1/\sqrt{2.\)

Therefore, the required value of  sin 45° and sin 135º is \(\frac{\sqrt{2} }{2}\)  and \(\frac{1}{\sqrt{2} }\).

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Answer:70

Step-by-step explanation:

LCM (Least Common Factor)

Just count by 10 and 14

10,20,30,40,50,60,70,80,90,100

14,28,42,56,70

Answer:

17     34

24    58

31     89

38    127

45    172

52    224

59    283

62    345

69    414

76    490

83    573

Step-by-step explanation:

Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)

Then at the final answer you add the results to total pushups you get 573.

There is a faster way to do this using a formula, but probably will go over your head.

The total possible outcome when a coin is flipped and a die is rolled is 12

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total possible outcomes.

For example if a coin is flipped, a coin only has two faces, this means that it will have 2 Total possible outcome. When a die is rolled, a die has 6 faces which means that it will Total outcome of 6. When both a coin is flipped and a die is rolled the total possible outcome is 6×2 = 12 outcomes.

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D. moving red blood cells around the body

Considering the concept of independent events, we have that they are classified as follows:

a) Independent.

b) Dependent.

Independent events is when a success or failure in an event do not influence the probability of a success or failure in the other event.

For item a, in each roll of the dice, the probability of the number being even/odd will not change from previous trials, hence the events are independent.

For item b, the slip will be kept out of a hat, hence the number of total outcomes change, hence changing the probability(desired outcomes divided by total outcomes), and hence the events are dependent.

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Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer:

(x-4) ^2 + (y+1)^2 = 81    

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the  center and r is the radius

(x-4) ^2 + (y--1)^2 = 9^2

(x-4) ^2 + (y+1)^2 = 81      

Answer:

answer is D

Step-by-step explanation:

hope this helps :-D