plz help me solve this

An equation of the line that passes through the point (6,2) and has a slope of -1/2 is y = -1/2(x) + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (6, 2) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 2 = -1/2(x - 6)  

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

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

y = -1/2(x) + 5

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The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .

In the question ,

it is given that ,

the initial point of the vector = (1 , -1)

the terminal point of the vector = (4,2)

we know that the vector with initial point (x₁ , y₁) and (x₂ , y₂) is calculated using the formula

V = (x₂ - x₁)i + (y₂ - y₁)j

Substituting the values from the point ,

we get the vector as

V = (4 - 1)i + (2 -(-1))j

V = 3i + (2 + 1)j

V = 3i + 3j

Therefore , The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .

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Answer:

12x

Step-by-step explanation:

area=length×width

length=area/width

=36x-12/3x-1

=12(3x-1)/3x-1

length =12x

Answer:

depending on the question if it's subtraction Or division

Using Pythagoras theorem:-

H²= P²+ B²

Putting the value in equation

\( {x}^{2} = {5}^{2} + {3}^{2} \\ {x}^{2} = 25 + 9 \\ {x}^{2} = 34 \\ x = \sqrt{34} = 5.83\)

Answer:

x=0

Step-by-step explanation:

-Use (a+b)^2=a^2+2ab+b to expand the expression.
-Cancel equal terms on both sides of the equation
-Swap the sides of the equation
-Divide both sides of the equation by 12
-Solution
x=0

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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Answer:

1

Step-by-step explanation:

additive identity =1/2

multiplicative =2

Product = 1/2*2

So the answer is 1

Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.

Answer:

15: significant 16: research problem

Answer:

i think its a or d

Step-by-step explanation:

Answer:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If  then If  then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300

Hoped I helped

Answer:

1 1/2 and -5 1/2

Step-by-step explanation:

if you add 3 1/2 to -2 you get 1 1/2

if you subtract 3/12 from -2 you get -5 1/2

Answer:

slope=3 y-intercept=4

Answer:

D. slope 3 y-intercept 4.

Step-by-step explanation:

The graph crosses the y-coordinate at positive 4. So we know that the y-intercept is 4, which means it cannot be A. slope 1/3. y-intercept -4, or C. slope 3 y-intercept -4.

The slope is 3, you can tell because the line ascends 3 y values for every x value gained.

This means that the answer is D. slope 3 y-intercept 4.

I Hope That This Helps! :)

Answer:

y=13x – 2

Step-by-step explanation:

Using the slope intercept form

y= mx + b

Where, m= 13 & b= –2

y= 13x – 2

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Given:

To find:

a) The coordinates of the turning point on the graph of y = f(x).

b) Show that the turning point is a minimum point.

Explanation:

a) Using the first derivative test,

Substituting in the given function we get,

Therefore, the turning point is,

b) Differentiating with respect to x again,

Therefore, the function has a minimum value at the turning point.

Hence, the turning point is a minimum point.

Answer:

-7.21

Step-by-step explanation:

2.35-4.89= -2.54, 8.39-3.72=4.67, -2.54-4.67= -7.21

Answer:

7.21 (positive)

Step-by-step explanation:

trust me slime i know what im doing

Answer:

p = 2a-22

a= p-20

these will help you find the actual value

Step-by-step explanation:

this is not for the actual value

pierre = p

alex = a

p = a+20

p-20 = a

p+22 = 2a

p = 2a-22

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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The inverse function is f⁻¹(x) = √(x + 5) - 2. And the value of 'x' when the inverse function is 2 will be 11.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given below.

f(x) = (x + 2)² - 5,       x > 2

The inverse function of the function will be given as,

x = [f⁻¹(x) + 2]² - 5

[f⁻¹(x) + 2]² = x + 5

f⁻¹(x) + 2 = √(x + 5)

f⁻¹(x) = √(x + 5) - 2

If the value of the inverse function is 2, then the value of x is given as,

2 = √(x + 5) - 2

4 = √(x + 5)

16 = x + 5

x = 16 - 5

x = 11

The inverse function is f⁻¹(x) = √(x + 5) - 2. And the value of 'x' when the inverse function is 2 will be 11.

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Answer:

Please make sure your questions are as detailed and as specific as possible so we at Brainly can give you the best answers. Please review our policy.

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

b)

Step-by-step explanation:

i hope this help you

Answer:

247

Step-by-step explanation:

From the question given above, the following data were obtained:

nth term (Tₙ) = 5n – 3

Number of term (n) = 50

50th term (T₅₀) =?

The 50th term can be obtained as follow:

Tₙ = 5n – 3

T₅₀ = 5(50) – 3

T₅₀ = 250 – 3

T₅₀ = 247

Therefore, the 50th term is 247.

Answer:

5

Step-by-step explanation:

keep change flip

   3         -       -2

3 + 2

Answer: B

Step-by-step explanation:

B) Copernicus rediscovered Aristarchus's heliocentric model. The event which took place during the Copernican revolution.

Answer: HELP

Step-by-step explanation:

HELP MEEEE

A differential equation is a mathematical equation that relates an unknown function to its derivatives. It describes how the function changes in relation to its independent variable and provides a framework for solving various scientific and mathematical problems.

To solve this problem, let's use the given information to set up a differential equation.

Let's assume that the fraction of the population that has heard the rumor at time t is represented by the variable p(t).

According to the given information, the rate at which the rumor spreads is proportional to the product of p(t) and (1 - p(t)), where (1 - p(t)) represents the fraction of the population that has not yet heard the rumor.

So, we can set up the following differential equation:

dp/dt = k * p(t) * (1 - p(t))

Here, k represents the constant of proportionality.

To solve this differential equation, we can separate the variables and integrate both sides:

1/[p(t) * (1 - p(t))] * dp = k * dt

Integrating both sides:

∫[1/[p(t) * (1 - p(t))]] * dp = ∫k * dt

This integration can be solved using partial fraction decomposition, which is beyond the scope of this platform.

Once you solve the integral, you will obtain an equation in terms of p(t) and t. You can use this equation to find the fraction of the population that has heard the rumor at any given time t.

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