Write and equation of a circle that has a diameter that passes through the points (3,0) and (7,6)

Answer:

Step-by-step explanation:

On differentiating, the derivative of the functions at x = a, is

(i) f'(a) = 14/(a+9)²,

(ii) f'(a) = \(-\frac{1}{2(a+1)^{\frac{3}{2} } }\).

Part (i) : To find the derivative of f(t) = (2t+4)/(t+9) at x = a, we can use the quotient rule:

The "quotient-rule" is defined as a formula which is used in finding  derivative of a function which is quotient of two other functions.

The formula is : (f/g)' = (f'g - g'f)/g²,

where f' , g' = derivatives of functions "f" and "g", respectively.

So, f'(t) = [(t+9)×(2) - (2t+4)×(1)] / (t+9)²,

Substituting t = a,

We get,

⇒ f'(a) = [(a+9)(2) - (2a+4)(1)] / (a+9)²,

⇒ f'(a) = (2a+18 - 2a-4) / (a+9)²,

⇒ f'(a) = 14/(a+9)²,

So, the derivative of f(t) at x = a is f'(a) = 14/(a+9)².

Part (ii) : To find the derivative of the function, f(x) = 1/√(x+1) at x = a, we use the chain rule:

The "Chain-Rule" is defined as a formula which is used in finding derivative of a "composite-function".

So, f'(x) = \(-\frac{1}{2(x+1)^{\frac{3}{2} } }\) × (1)

Substituting x = a,

We get,

⇒ f'(a) =  \(-\frac{1}{2(a+1)^{\frac{3}{2} } }\) ,

Therefore, the derivative of f(x) at x = a is f'(a) = \(-\frac{1}{2(a+1)^{\frac{3}{2} } }\).

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The given question is incomplete, the complete question is

Find the derivative of the given functions at "x=a".

(i) f(t) = (2t+4)/(t+9),

(ii) f(x) = \(\frac{1}{\sqrt{x+1} }\)  1/√(x+1)

Answer:

6

Step-by-step explanation:

So you want to round both denomaters to what they can mutiply to so it will be 6 so the 4 1/2 will be 4 3/6 and the 2 2/3 will be 2 4/6. Then you multiply to get 6

Answer:

m‹EFG = m‹EFH + m‹HFG

• substitute:

\(130 \degree = 86 \degree + m \angle HFG \\ \\ m \angle HFG = 130 \degree - 86 \degree \\ \\ { \boxed{ \: \: m \angle HFG = 44 \degree}}\)

Answer:

a. addition property of Equality

Answer:

The answer is B

Step-by-step explanation:

[-6,2]

The solution to the inequality is [–6, 2]. Then the correct answer is option B.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality is solved as:-

x⁴ + 4x³ ≤ 12x²

x² ( x² + 4x ) ≤ 12x²

x² + 4x ≤ 12

x² + 4x - 12 ≤ 0

x² + 6x - 2x + 12 ≤ 0

Equate the factors to zero.

( x + 6 ) ( x - 2 ) = 0

x =( -6 , 2 )

Hence, the solution is x = ( -6, 2 ).

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Answer:

52.5

Step-by-step explanation:

Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!

Answer:

equality

Step-by-step explanation:

equality

Answer:

Equality

Step-by-step explanation:

x = 45

  x / 3 = 15

45 / 3 = 15

     15 = 15

If 6 is an element in the domain of f(x) = (8x - 16)/2, the corresponding element in the range include the following: [16].

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Based on the information provided, we have the following function rule:

Function, f(x) = y = (8x - 16)/2

When the domain x = 6, the range (y) of this function is given by;

Range, y = (8(6) - 16)/2

Range, y = (48 - 16)/2

Range, y = 32/2

Range, y = 16.

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Answer:

It would affect the mean, range, and standard deviation

Step-by-step explanation:

I got this right on the test :)

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer: I’m not for sure but I think it is the third one

Step-by-step explanation:

Answer:

f(-1) = 2

Step-by-step explanation:

Hey there!

To find f(-1), we have to look at the x value of -1, and draw a vertical line. All of the points of intersection of the graph and the vertical line are your answers.

In this graph, the line touches point (-1,2), but we just want the y-value

f(-1) = 2

-Chetan K

Answer:

first option

Step-by-step explanation:

3x = 90 degree (being perpendicular)

x = 90/3

x = 30 degree

substitute the value of x

2x + 3y = 90 degree (being perpendicualr)

2*30 + 3y = 90

60 + 3y = 90

3y = 90 - 60

y = 30/3

y = 10 degree

Answer:

that's easy its letter a number 10

After calculating The perimeter of rectangle is 46.52 in the given rectangle.

What is area of rectangle?

area of rectangle can be defined as the product of length and breadth.

Given ,

A rectangle has a length 20 5 /6 and

breadth = 2 3/7

The perimeter of rectangle  = 2 (l+b)

length = (120 + 5 ) / 6 = 125/ 6

breadth = (14+3) / 7  = 17/7

perimeter  = 2 (125/6 + 17/7 )

= 2 ( (125*7 + 17 * 6) / 42 )

= 2 (875+102) / 42

= 2 * 23.26

= 46.52

Hence, after calculating The perimeter of rectangle is 46.52 in the given rectangle.

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Answer:

x=15

Step-by-step explanation:

3x-27=18

3x=18+27

3x=45

x=45/3

x=15

Answer:

ITS 7

Step-by-step explanation:

I got the other ones wrong and i checked what was the correct answer and it said it was 7

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Answer:

24

Step-by-step explanation:

the rate of change is represented by the 24,  just like in the slope-intercept equation  y = mx + b, where "m" represents the slope, or rate of change.  

Answer:

Option 3: -2

Step-by-step explanation:

The slope of the graph is negative, and the only option with a negative term for the slope is -2.

So the slope of the graph is -2.

Answer:

x = 19°

Step-by-step explanation:

.........................

Forgive me if wrong

Using the uniform distribution, the standard deviation of the timeout is of 34.64 seconds.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The standard deviation is:

\(S = \sqrt{\frac{(b - a)^2}{12}}\).

For this problem, the bounds are:

a = 0, b = 120.

Hence the standard deviation is found as follows:

\(S = \sqrt{\frac{(120 - 0)^2}{12}} = 34.64\).

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Answer:

X =3.410

Step-by-step explanation:

Sin(angle) = opposite/hypotenuse

Sin(43) =x/5

0.6819 = x/5

X = 3.41

Insta: lankey.t

If this week there are 144 members at the meeting, which is 90% of the total group, the total number of members on the green team is 160.

If 144 members represent 90% of the total group, we can set up the equation:

144 = 0.9x

where x is the total number of members on the green team.

To solve for x, we can divide both sides of the equation by 0.9:

144 ÷ 0.9 = x

This simplifies to:

160 = x

To check our answer, we can verify that 144 is indeed 90% of 160:

144 ÷ 160 = 0.9

which confirms that our answer is correct.

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The formula to find time from distance is time = distance/speed

As a general rule, the formula of speed is

Speed = Distance/Time

Multiply both sides by Time

Time * Speed = Distance

Divide both sides by Speed

he formula to find time from distance

Hence, the formula to find time from distance is time = distance/speed

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Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

The first cellphone service provider to be established in South Africa was Vodacom. Vodacom was launched on April 1, 1994, and it became the country's first cellular network operator.

The company was a joint venture between Telkom, the national telecommunications company of South Africa, and Vodafone, a global telecommunications giant.

Vodacom introduced the GSM network to South Africa, providing mobile voice and data services to customers across the country. Its launch marked a significant milestone in the telecommunications industry in South Africa, as it brought mobile communication to the masses and revolutionized the way people connect and communicate.

Since its inception, Vodacom has played a pivotal role in the development of the telecommunications sector in South Africa. It has continually expanded its network coverage, introduced innovative services, and played an active role in bridging the digital divide in the country.

Today, Vodacom remains one of the leading mobile network operators in South Africa, providing a wide range of mobile services to millions of customers.

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The probable question may be:

Which cellphone service provider was the first to be established in south africa

Answer: 93-(18+30)=g

93-48=g

45=g

Step-by-step explanation: yup

The answer is 93-18-30-g=0 or 18+30+g=93

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line