Use the figure to find the measure of <6. Explain your reasoning.
2 points
152
2
4
5
6
8
S
Your answer

Step-by-step explanation:

The coordinates of the point is (15, 12).

      Point dividing the line segment AB in the ratio of 1 : 4 will have the coordinates as (15, 12)

        [tex]h=\frac{mx_2+nx_1}{m+n}[/tex], [tex]k=\frac{my_2+ny_1}{m+n}[/tex]

If a segment having extreme ends A(7, -2) and B(47, 68) is divided by a point P(h, k) in the ratio of 1 : 4

h = [tex]\frac{1(47)+4(7)}{1+4}[/tex]

h = 15

k = [tex]\frac{1(68)+4(-2)}{1+4}[/tex]

k = 12

   Therefore, coordinates of the point dividing the segment AB in the ratio of 1 : 4 will be (15, 12).

Learn more about the ratios of a directed line segment here,

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Answer:

6+2i

Step-by-step explanation:

(5+7)/2 = 6

(-2+6)/2 = 2

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Answer:

32%

Step-by-step explanation:

Answer:

Last Choice / D

Step-by-step explanation:

you want to isolate v!

E = 1/2 m v^2

multiply both sides by 2

2E = mv^2

divide both sides by m

2E/m = v^2

square root both sides

v = ±[tex]\sqrt{2E/m}[/tex]

please click heart to give thanks :)

Answer:

[tex]D.v= \± \sqrt{\frac{2E}{m}}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Kinetic\ Energy\ possessed\ by\ an\ object=\frac{1}{2}mv^2\\Hence,\\E_k=\frac{1}{2}mv^2\\2E=2*\frac{1}{2}mv^2 [Multiplying\ both\ the\ sides\ with\ 2]\\2E=mv^2\\\frac{2E}{m}=\frac{mv^2}{m}[Dividing\ both\ the\ sides\ by\ m]\\\frac{2E}{m}=v^2\\Now,\\As\ v\ could\ be\ positive\ or\ negative\ but\ its\ square(v^2)\ would\ always\ be\ positive.\\[/tex]

[tex](\± v)^2= v^2\\Hence,\\\frac{2E}{m}= (\±v)^2 \\\sqrt{\frac{2E}{m}} = \±v\\Or,\\ v= \± \sqrt{\frac{2E}{m}}[/tex]

Answer:

- 1/2 or - 1.5

Step-by-step explanation:

I would suggest using a table

x       y

2      -1

0      0

from -1 to 0, you add 1

from 2 to 0, u subtract 2

so y/x

1/-2

Your slope will be -1/2 or -1.5

Hope this helped!

Answer:

-1/2

Step-by-step explanation:

Answer:

The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875

Step-by-step explanation:

The given parameters are;

The number of students in the sample, n = 8

The number of the students, x, that exhibit higher IQ's than the median = 5

The probability of obtaining the given result by chance is given as follows;

P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ

The probability that a student exhibit higher IQ's than the median = 0.5 = p

Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q

Substituting the known values, gives;

P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875

Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.

Answer:

D

Step-by-step explanation:

use a calculator next time

Given :

Two equations :

y = t³

x = t + 5

To Find :

Rectangular equation formed by eliminating the parameter.

Solution :

Putting value of t from second equation to first equation.

We get :

[tex]y = ( x-5)^3[/tex]

Also, t from equation first :

[tex]t = \sqrt[3]{y}[/tex]

Putting the value of t and equation two, we get :

[tex]x = \sqrt[3]{y}+5[/tex]

Therefore, rectangular equation is formed by eliminating the parameter is :

y = ( x - 5)³ and x = ∛y + 5 .

The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

The options are:

The parametric equations are:

y = t³

x = t + 5

From the second equation that is x = t + 5

Take the value of t and plug in the equation y = t³:

t = x - 5

y = (x - 5)³

The above equation represents a cubic equation.

Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

Learn more about the parametric function here:

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Answer:

846 in

Step-by-step explanation:

48*15+21*6

720+126=846

Answer:

846 square inches.

Step-by-step explanation:

All you have to do is find the area of the net for the seat back.

Bottom and Top

L = 21 + 3 + 21 + 3   = 48

W = 15

Area

Area = L * w

Area = 48 * 15

Area =                                                       720

Area of the 2 sides .

L = 21

w = 3

Area =2 * L * w    There are 2 of them

Area = 21*3 * 2                                         126

Total                                                         846  

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

Answer:

Step-by-step explanation:

Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.

Answer:

12

Step-by-step explanation:

I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.

Answer:

You should ALWAYS do everything by the same value for using the tables Step-by-step explanation:

if one side gets multiplied so should the other, so let's say you had 2:4 if you are multiplying the 4 by 3, you should also multiply the 2 by 3.

Comparing ratios:

In order to compare a ratio you must have a number that is constant, basically in other words a common number. A number that almost is always the multiplied, or divided by the same amount.

Please. give brainliest I did my best.

Answer:

2

Step-by-step explanation:

......... lol

you can have candy

Answer:

2

Step-by-step explanation:

1+1= 2that is an example

get that candy

Answer:

yes its linear

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Because PQ tangent to circle, angle P is 90

angle S = 180 - 90 - 20 = 70

Answer:

40, 284 omelets

Step-by-step explanation:

Given that:

In the first week of June = 10345 omelets were sold

In the second week = 1096 fewer omelets are sold than in week one

i.e.  10345 - 1096 = 9249 omelets

In the third week = 2000 more were sold than week one.

i.e. 2000 + 10345 = 12345 omelets

In the fourth week = 2000 fewer omelets were sold than week one.

i.e. 10345 - 2000 = 8345 omelets

Thus, the total quantity of Omelet sold in the month of June is:

= (10345 + 9249 + 12345 + 8345) omelets

= 40, 284 omelets

Answer:

70%

Step-by-step explanation:

5/10. 50%

6/10. 60%

8/10. 80%

9/10. 90%

Answer:

70%

Step-by-step explanation:

Answer:

4. 5. 3. are correct im pretty sure

Step-by-step explanation:

Statements 1, 2, and 3 about f(x) and g(x) are "true".

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.

x  : 1   3   5   7   9

g(x): 3  7   11   15   19

Here the slope of the function g(x) is 2.

This means statements 1 and 2 are false because slopes are different.

To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.

Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.

The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.

To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.

Therefore, the true statements are 2, 3, and 4.

Learn more about the functions here:

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Answer:

t = 1.4

Step-by-step explanation:

If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.

The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.

Answer: t=1

Step-by-step explanation:

|5t-1 |=6

5t+1=6

5t=5

t=1

Answer:

The answer is -8/3.

Step-by-step explanation:

First, you have to make y the subject :

8x + 3y = 9

3y = -8x + 9

y = (-8/3)x + 3

In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.

Answer:

Slope m = 6

y-intercept b = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Slope-Intercept Form]   y = 6x - 5

Step 2: Break Function

Identify Parts

Slope m = 6

y-intercept b = -5

Answer:

[tex]slope:6\\y-intercept:-5[/tex]

Step-by-step explanation:

Given the line:

[tex]y=6x-5[/tex]

We can first refresh our memory with slope-intercept form:

[tex]y=mx+b[/tex]

In slope-intercept form:

[tex]m=slope\\b=y-intercept[/tex]

With that information, using the given equation for the line, we can conclude that:

[tex]m=6[/tex]

[tex]b=-5[/tex]

Answer:

no solution

Step-by-step explanation:

Answer: 33.6 feet

Step-by-step explanation:

Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.

A larger, similar rectangle has a length of 12 feet. The width will be:

= 12 / 2.5

= 4.8 feet

The perimeter of the larger rectangle will then be:

= 2(Length + Width)

= 2(12 + 4.8)

= 2 × 16.8

= 33.6 feet

Answer:

Step-by-step explanation:

New point would be (-8, 1) so the answer is none of the other answers are correct.