geometry please help!!

Answer:

Simplify first:

-4n - 20 = 8

Add 20 to both sides:

-4n = 28

Divide by -4:

Therefore you will get:

n = -7

Answer:

n = -7.

Step-by-step explanation:

-4(n + 5) = 8

-4n - 20 = 8

-4n = 28

n = -7.

The area of the rectangle is 17 square units.

The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.

Here we know that the vertices are:

A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)

We can define the length as the side AB, which has a lenght:

L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.

And the width as BC, which has a length:

L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.

Then the area is:

A = (1 unit)*(17 units) = 17 square units.

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Answer: A

Step-by-step explanation:

Its A

Answer:

x=5

Step-by-step explanation:

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Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

3 and 4

Step-by-step explanation:

The slope of the function, f(x) = 7x, is 7

The slope of the line shown in the graph is 3

The slope of the function, f(x) = 2 - x, is -1

The slope of the line that contains points (0, 0) and (1, -2) is -2

The slope of the line given in the table is 5

From the question, we are to determine the slopes

For the function

f(x) = 7x

We will compare the equation to the slope-intercept form of the equation of a line

y = mx + b OR f(x) = mx + b

Where m is the slope

and b is the y-intercept

By comparison,

m = 7

Thus, the slope is 7

For the slope of the graph

The points on the line are (-1, -2) and (0, 1)

Using the formula,

Slope = (y₂ - y₁)/ (x₂ - x₁)

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

Slope = (1 + 2) / (0 + 1)

Slope = 3/1

Slope = 3

The slope is 3

For f(x) =  2 - x

Compare to the slope-intercept of a line, f(x) = mx + b

m = -1

Thus, the slope of the function is -1

Slope of the line that contains points (0, 0) and (1, -2)

Using the formula,

Slope = (y₂ - y₁)/ (x₂ - x₁)

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

Slope = -2/1

Slope = -2

The slope is -2

The slope of the function given in the table

Picking the points (0, 85) and (1, 90)

Using the formula,

Slope = (y₂ - y₁)/ (x₂ - x₁)

Slope = (90 - 85) / (1 - 0)

Slope = 5/1

Slope = 5

Hence, the slope is 5

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Answer:

alfa = 2

beeta = -3

product of zeros = 2x-3= -6

sum of zeros = 2+[-3] = -1

POLYNIMIAL = k[x²-[sum]+product]

                       =k[ x²-[-1] +[-6]]

                        = k[ x²+1 -6]

                        = x²-5

hence , the quadratic equation is x²-5

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Answer:

6 kg/m

Step-by-step explanation:

mass m = 3x^2.

rho ρ= dm/dx =6x

ρ(1) =6 Kg/m

linear density is the derivative of mass (m)  with respect to position(x)

that is how fast is the mass changing at that position.

Answer:

w = 60

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

w + 20 is an exterior angle of the triangle , then

w + 20 = w - 10 + w - 30

w + 20 = 2w - 40 ( subtract w from both sides )

20 = w - 40 ( add 40 to both sides )

60 = w

Answer:

w=60°

Step-by-step explanation:

triangle=180°

angle on a straight line=180°

using that,

we need to find the angle on the same line with that of "w+20°" angle, so we name it as "X"

so, 180-(w+20)=X

expand bracket by multiplying it with the "-"

so it'll be: 180-w-20=X

then rearrange to get like terms together

180-20-w=x

160-w=x

so the missing angle in the triangle is now (160-w)°

now using the angles in a triangle =180°

we add all the angles and equate it to 180, so:

w-30+w-10+160-w=180°

collect like terms again:

w+w-w-30-10+160=180

2w-w+120=180

w+120=180

move 120 to the other side and remember the sign changes, so:

w=180-120

therefore w=60°

now you can substitute w=60 into the triangle and see you'll get 180°

hope that helps

Given the equation:

To solve this equation for x, we need to take the binary logarithm on both sides of the equation:

There are two important properties of logarithms (binary or any other kind):

Answer:

His claim is false.

Step-by-step explanation:

People put nasty fake answers, so I will answer your question here. 16h15 minus 45 minutes is 15h30. If he was gone 48 minutes, he left at 15h27m

The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

1234

Step-by-step explanation:

The probability that the track star wins the first race is 0.7 and the probability that she wins the second race is 0.6.

a. she wins at least one race: P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B) - P(A) * P(B) = 0.7 + 0.6 - 0.5 = 0.8

b. she wins exactly one race: P(A and not B) + P(B and not A) = P(A) * P(not B) + P(B) * P(not A) = 0.7 * 0.4 + 0.6 * 0.3 = 0.28

c. she wins neither race: P(not A and not B) = P(not A) * P(not B) = (1 - P(A)) * (1 - P(B)) = 0.3 * 0.4 = 0.12

You could also represent this using a venn diagram, showing the overlap between the two events.

The probability that the track star wins the first race is 0.7 and the probability that she wins the second race is 0.6. The probability that she wins both races is 0.5. To find the probability that:

a. she wins at least one race = 0.8

b. she wins exactly one race = 0.28

c. she wins neither race = 0.12

These probabilities were calculated by using the probability of the events of winning each race and the probability of both events combined.

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Hence, the direction angle of the vector is (c) −π/3.

Given the vector v = −3/√3, 1; we are required to find the direction angle of this vector.

The direction angle of a vector is defined as the angle made by the vector with the positive direction of the x-axis, measured counterclockwise.

Let θ be the direction angle of the vector.

Then tanθ = (y-component)/(x-component) = 1/(-3/√3)

= −√3/3

Thus, we getθ = tan−1(−√3/3)

= −π/3

Therefore, the correct option is c) −π/3.

If the angle between the vector and the x-axis is measured clockwise, then the direction angle is given byθ = π − tan−1(y-component/x-component)

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Answer:2

Step-by-step explanation:

The answer is 56.

As you can see, the triangle given is a right angle, meaning it is 90 degrees. To find the missing angle, we can solve 90 - 34 to get 56.

hope this helps !! have a nice day :))

The exact value of sin(6/11π) is -sin(6/11π).

The exact value of sin(6/11π) can be found by using the reference angle of 6/11π. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. In this case, the reference angle is (6/11π) - π = (-5/11π).

To find the exact value of sin(-5/11π), we can use the fact that sin(-θ) = -sin(θ). So, sin(-5/11π) = -sin(5/11π).

Next, we can use the fact that sin(θ) = sin(π - θ) to find the exact value of sin(5/11π). So, sin(5/11π) = sin(π - 5/11π) = sin(6/11π).

Therefore, the exact value of sin(6/11π) is -sin(6/11π).

In conclusion, the exact value of sin(6/11π) is -sin(6/11π).

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Answer and Explanation:

Given:

Let's go ahead and chose different values of x and corresponding values of y;

When x = -2;

When x = -1;

When x = 0;

When x = 1;

When x = 5;

With the above values, we can go ahead and graph the function as seen below;

The domain of a function is the set of possible input values(x-values) for which the function is defined. On a graph, it is the set of x-values from left to right.

Looking at the given graph, we can see that the domain is;

The range of a function is the set of possible output values(y-values). It is the set of y-values from the bottom to the top of the graph.

Looking at the given graph, we can see that the range is;

Answer:

Value is 15 and measure is 151

The value of y-coordinate of the point on the translated line with 4 as the x-coordinate  is 0

To horizontally translate a graph is simply to shift the base graph left or right in the direction of the x-axis.

The graph:

y = -3(x-4)

To determine the y - coordinate of the point on the translated line when the x-coordinate is 4

We do this by substituting the value of 'x'

Since the graph was horizontally translated up 5 points

y = -3 ( x - 4)

y = -3 ( 4 - 4)

expand the bracket

y = 0

The equation of the line is given as;

y= - 3 ( x- 4 ) + 5

We are to show that if x = 4, then y = 5

Let's substitute the value of 'x' as 4

y = - 3 ( 4 - 4) + 5

Expand the bracket

y = -3 ( 0) + 5

y = 0 + 5

y = 5

Thus, the value of y-coordinate of the point on the translated line with 4 as the x-coordinate  is 0

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The total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

Derek plans to deposit $6,460.00 per year for 21.00 years into an account with an annual interest rate of 14.00%. The first deposit will be made next year.

To calculate the total amount in the account 40.00 years from today, we need to consider the annual deposits, the interest earned, and the compounding effect over the years.

The annual deposit is $6,460.00, and the duration of deposits is 21.00 years.

Therefore, the total amount of deposits made over the 21.00 years will be 21.00 × $6,460.00 = $135,660.00.

To calculate the future value of the deposits and the interest earned, we can use the compound interest formula:

Future Value = Principal × \((1 + interest\, rate)^{number\, of\, periods}\)

In this case, the principal is $135,660.00, the interest rate is 14.00%, and the number of periods is 40.00 years.

Future Value = $135,660.00 × \((1 + 0.14)^{40}\)

Future Value = $135,660.00 × \((1.14)^{40}\)

Future Value = $135,660.00 × 45.094

Future Value = $6,120,433.84

Therefore, the total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

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Answer:

-31 c + 13

Step-by-step explanation:

-13c+8-18c+5

combine like terms

-18c and -13c combined is -31c

8 + 5 = 13

-31 c + 13

Answer

-31c+13 is your answer (see explanation below!)

Step-by-step explanation:

1) Add the numbers:

\(-13c + 8 - 18c + 5\\-13c + 13 -18c\\\)

2) Combine like terms:

\(-13c+13-18c\\-31c+13\\\)

\(A: -31c+13\)

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Answer:

sounds fun

Step-by-step explanation:

Answer:

x is 60 and y is 50

hope it helped have a good day mate

Answer:

y = 5/2x - 5

Step-by-step explanation:

You have to rearrange the equation so that it is equal to y.

5x - 2y = 10

(5x - 2y) - 5x = -5x + 10

-2y = -5x + 10

(-2y)/-2 = (-5x)/-2 + (10)/-2

y = 5/2x - 5

The third derivative of a function ƒ(x) can be expressed as ƒ"(x) = ƒ(x+3) - 3ƒ(x+2) + 3ƒ(x+1) - ƒ(x), where x₁ represents a shifted index.

This formula allows us to compute the third derivative of a function at any given point by evaluating the function at four different shifted indices. The coefficients in the formula (-1, 3, -3, 1) represent the binomial coefficients of the expansion of (x+1)³, which correspond to the coefficients of the function values in the expression for the third derivative.

The formula for the third derivative of a function ƒ(x) can be written as ƒ"(x) = ƒ(x+3) - 3ƒ(x+2) + 3ƒ(x+1) - ƒ(x). This means that to compute the third derivative of ƒ(x) at any given point, we evaluate the function at four different shifted indices: x+3, x+2, x+1, and x.

The coefficients in the formula (-1, 3, -3, 1) correspond to the binomial coefficients of the expansion of (x+1)³. These coefficients determine the weights given to the function values in the expression for the third derivative. Each coefficient is multiplied by the corresponding function value and then subtracted or added accordingly.

By using this formula, we can find the value of the third derivative of a function at any specific point by evaluating the function at the shifted indices and applying the corresponding coefficients. This provides a method for computing higher-order derivatives of functions based on function values at nearby points.

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