If a and b are negative real numbers and
a

The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

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2x - 3y = 6​

subtract 2x form both sides of the equation:

2x-3y-2x= 6-2x

-3y= 6-2x

Divide both sides by -3

-3y/-3= (6-2x)/-3

y= -2+2/3x

Answer:

Work shown below!

Step-by-step explanation:

f(n) = 16 - 2(n - 1)

f(1) = 16 - 2(1 - 1)

f(1) = 16 - 2(0)

f(1) = 16

Common difference is -2

Answer:

16/12  or 4/3

Math

Answer: 6/5

Step-by-step explanation:

To find the y-intercept, we need to simply give x a value of 0.

==> x = 0

==> y = 1/4(0) + 6/5

==> y = 0 + 6/5

==> y = 6/5

The set of coordinates that are the solution to this question are:

(0 , 6/5)

The question only wants the intercept, so 6/5 is the answer!

Hope this helped! Have a good day ;)

The y-intercept of the line y = (1/4)x + (6/5) is 6/5, which means that the line crosses the y-axis at the point (0, 6/5).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

In algebra, a line can be represented by an equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis, which means that the x-coordinate of the y-intercept is always 0.

So for the equation y = (1/4)x + (6/5), we know that the y-intercept occurs at x = 0. To find the y-coordinate of the y-intercept, we can substitute x = 0 into the equation:

y = (1/4)(0) + (6/5) = 6/5

Therefore, the y-intercept of the line y = (1/4)x + (6/5) is 6/5, which means that the line crosses the y-axis at the point (0, 6/5).

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Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:Angle B is 44 Degrees

Step-by-step explanation: Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees

The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees

The angles of triangle ABC must add up to 180 degrees

m∠A+m∠B+m∠C=180

46+m∠B+90=180

m∠B+136=180

m∠B=44

The measure of Angle B in the given diagram is 44 Degrees

Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees

The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees

The angles of triangle ABC must add up to 180 degrees.

The total sum of the angle in triangles is180 degrees.

m∠A+m∠B+m∠C=180

46+m∠B+90=180

m∠B+136=180

m∠B=44

Therefore, The measure of Angle B in the given diagram is 44 Degrees.

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The result of the matrix equation is not specified in the given problem statement. Instead, we are given some information about a real, symmetric matrix with two distinct eigenvalues and are asked to calculate a certain expression involving this matrix.

For real, symmetric matrices with distinct eigenvalues, it is known that the eigenvectors corresponding to these eigenvalues are orthogonal. This means that if we let v1 and v2 be the eigenvectors corresponding to the two distinct eigenvalues of our matrix A, then v1 and v2 are orthogonal (i.e., their dot product is zero).

To calculate the expression , we need to find the dot product of the two vectors A^(-1)v1 and v2. Using the fact that A is symmetric and has distinct eigenvalues, we can show that A is diagonalizable. That is, there exists an invertible matrix P such that P^(-1)AP = D, where D is a diagonal matrix with the eigenvalues of A on the diagonal. Multiplying both sides of this equation by P^(-1), we get AP^(-1) = P^(-1)DP, which shows that the columns of P^(-1) are the eigenvectors of A. Therefore, we can find v1 and v2 by computing the first and second columns of P^(-1), respectively. Once we have v1 and v2, we can compute A^(-1)v1 and take the dot product with v2 to get our answer.

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Step-by-step explanation:

You can choose from four main ways to detect outliers:

1.Sorting your values from low to high and checking minimum and maximum values.

2.Visualizing your data with a box plot and looking for outliers.

3.Using the interquartile range to create fences for your data.

4.Using statistical procedures to identify extreme values

please make me brainilist

E[2X^2 - Y] = 2E[X^2] - E[Y] = 2(0.5) - 0.3 = 0.9

The expected value of Y can be calculated using the moment generating function as follows: E[Y] = M_Y'(0) = 0.3

The joint moment generating function of two random variables X and Y is given as follows: M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{2s+t}

To calculate the expected value of 2X^2 â€" Y, we need to calculate the expected value of X^2 and Y separately.

The expected value of X^2 can be calculated using the moment generating function as follows:

E[X^2] = M_X''(0) = 0.5

The expected value of Y can be calculated using the moment generating function as follows:

E[Y] = M_Y'(0) = 0.3

Now, we calculate the expected value of 2X^2 â€" Y as follows:

E[2X^2 - Y] = 2E[X^2] - E[Y] = 2(0.5) - 0.3 = 0.9

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To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

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The critical point of the function f(x) = 3x^2 is x = 0, and the function is decreasing on the interval (-∞, 0) and increasing on the interval (0, ∞). The first derivative test tells us that x = 0 is a local minimum.

To find the critical point(s) of the function, we need to find where its derivative is zero or undefined.

First, let's find the derivative of the given function:

f(x) = 3x^2

f'(x) = 6x

Setting f'(x) = 0, we get:

6x = 0

x = 0

Therefore, the critical point of the function is x = 0.

To determine whether the function is increasing or decreasing on either side of the critical point, we need to examine the sign of the derivative:

When x < 0, f'(x) < 0, so the function is decreasing.

When x > 0, f'(x) > 0, so the function is increasing.

Using the first derivative test, we can conclude that the critical point x = 0 is a local minimum. This is because the sign of the derivative changes from negative to positive at this point, indicating a change from decreasing to increasing

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Answer:

Step-by-step explanation:

-4 - 2

1 - 4

-6

-3

Step-by-step explanation:

Domain x belongs to [-4 , 0]

Range y belongs to [-4 , 4]

Answer:

  20 ft

Step-by-step explanation:

The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:

  4(5 ft) = 20 ft

The height of the bird house is 20 ft.

Step-by-step explanation:

that creates 2 similar triangles.

that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

so,

3.5 × f = 14

f = 14/3.5 = 4

and now the range factor applies in the relation between the heights :

5 × 4 = 20 ft

the bird house is 20 ft high.

Answer:

26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:

8 feet added to 18 feet will be your answer.

Answer:26 feet, Oliver will have to travel 26 feet deep.

Step-by-step explanation:Okay so if you draw a line graph going vertical and you number it 1-32 ( this is if you have to show work ) a is a 11 feet deeper and b is 23 feet deeper

Answer:

Step-by-step explanation:

∠K = ∠c

∠K = 3x - 5

∠K + ∠M + ∠L = 180 {angle sum property of triangle}

3x -5  + 40 + 2x = 180

3x + 2x - 5 + 40 = 180

  5x + 35 = 180

         5x = 180 - 35

         5x = 145

           x = 145/5

x = 29

Answer:

The answer is -5<x

Step-by-step explanation:

-3<2x+7

Subtract 7 from both sides

-10<2x

Isolate x by divided both sides by 2

-5<x

Answer:

Its 20 buddy

Step-by-step explanation: took the test as well

We now have three equations, so we can solve them.

Let's define the length of the 3 boards in terms of x:

F=x

S=2x-3

T=2

F+S+T =26

x+2x-3+2 =26

3x =26+1=27

x =27/3 = 9 feet for First section

2x-3 =18-3 = 16 feet = Second

2 = Third

9+16+2 = 27

27 is the length of the shortest piece.

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Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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Answer: y = -0.5x + 1

To pay off his credit card balance of $1,230 with a 24% APR in 18 months, James needs to increase his monthly payment. The least impactful modification to his expenses would be to eliminate $83 from Food/Clothes.

James currently pays the minimum monthly payment of $30.75, which is not sufficient to pay off his balance in the desired timeframe. To determine the monthly payment required, we need to calculate the interest accrued over 18 months. The formula to calculate monthly interest is (APR/12) * balance. In this case, the monthly interest would be (24%/12) * $1,230 = $24.60.

To pay off the balance within 18 months, James needs to cover both the monthly interest and reduce the principal amount. Let's assume the monthly payment is P. Each month, James will pay P - $24.60 towards the principal. Since he wants to pay off the balance in 18 months, the equation becomes: 18 * (P - $24.60) = $1,230.

Simplifying the equation, we get 18P - $442.80 = $1,230. Rearranging and solving for P, we find that James needs to make a monthly payment of approximately $94.04.

Among the given options, the least impactful modification to James' expenses would be to eliminate $83 from Food/Clothes, which would cover most of the increased monthly payment.

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According to the given data the equity in the house is $30,000.

Equity is the difference between the current market value of the property and the outstanding mortgage balance on the property.

If you purchased the house for $250,000 and it is now valued at $280,000, your equity in the house can be calculated as follows:

Equity = Current market value - Outstanding mortgage balance

Assuming you took out a mortgage for the full purchase price of the house and haven't made any extra payments, your outstanding mortgage balance would be the same as the original mortgage amount, which is $250,000. Therefore, your equity in the house would be:

Equity = $280,000 - $250,000

Equity = $30,000

So, your equity in the house is $30,000.

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The length of EF= 15 cm.

As, the question states that the triangles are similar; their ratios are also equal.

AC/DF = AB/DE - CB/EF

Plug in the values

12/10 = AB/DE = 18/EF

If we isolate EF,

EF = 180/12

EF= 15cm

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Answer:

Step-by-step explanation:

3.8 x 102=387.6

1.7 x 109= 185.3

387.6+185.3=572.9

The mass οf the marble is 1170 milligrams mοre than the mass οf the daily vitamin.

Here we have twο different masses οf marble and a daily vitamin.

Fοr simple calculatiοns, cοnvert bοth units οf measurement intο the same using the fοllοwing cοnditiοns

                  1 gram = 1000 milligrams    

Hence, multiply the number οf grams by 1000 tο change it intο milligrams

Here we have

A glass marble has a mass οf 1.67 grams.

The mass οf a daily vitamin is 500 milligrams.

As we knοw 1 gram = 1000 milligrams

Sο, the mass οf the marble in milligrams is:

1.67 grams x 1000 milligrams = 1670 milligrams

Nοw we can find the difference in mass between the marble and the vitamin as fοllοws

=> 1670 milligrams - 500 milligrams = 1170 milligrams

Therefοre,

The mass οf the marble is 1170 milligrams mοre than the mass οf the daily vitamin.

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