Use the slope formula to find the slope of the line through the points (6,6) and (−10,−7).

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

Answer:

for the first one it will be 0.021

the second one it's 0.009

and for the third one it will be 0.015

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\(\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}\)

Sin P = 0.3

\(P = Sin^{-1} 0.3\\\)

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Formula:

C^2 =a^2 + b^2

Answer = 4.47

Nearest tenth= 4.5

The length of the third side of the triangle is 4.5 units.

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Here, sides of triangle is AB = 4 , BC = 2

By Pythagoras Theorem,

AC² = AB² + BC²

AC² = 4² + 2²

AC² = 20

AC = √20

AC = 4.47

AC = 4.5

Thus, the length of the third side of the triangle is 4.5 units.

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Expression 1 represents the difference in cost between the hotel room and the cost of food and beverage for all g guests, while Expression 2 represents the difference in cost between the hotel room and the cost of food and beverage for a single guest.

Expression 1 represents the difference in cost between the hotel room and the cost of food and beverage for Eric's guests. The first part of the expression (326 + 37g) represents the cost of the hotel room for all g guests, while the second part of the expression (287 + 23g) represents the cost of food and beverage for all g guests. To calculate the total cost of the hotel room and food and beverage, we can use the following formula: (326 + 37g) - (287 + 23g) = 39 + 14g.Expression 2, on the other hand, represents the difference in cost between the hotel room and the cost of food and beverage for a single guest. The first part of the expression (38 + 14g) represents the cost of the hotel room for one guest, while the second part of the expression (287 + 23g) represents the cost of food and beverage for one guest. To calculate the total cost of the hotel room and food and beverage for one guest, we can use the following formula: 38 + 14g.In conclusion, Expression 1 represents the difference in cost between the hotel room and the cost of food and beverage for all g guests, while Expression 2 represents the difference in cost between the hotel room and the cost of food and beverage for a single guest.

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Answer:

\(\huge\boxed{f^{-1}(x)=4x+48}\)

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function \(y=\frac{1}{4}x-12\).

Step 2: We can swap where the x and y values are, making our equation

\(x = \frac{1}{4}y-12\)

Step 3: We can now solve for y.

We now have the function as \(y = 4x+48\).

Step 4: We can now replace the y with \(f^{-1}(x)\).

\(f^{-1}(x) =4x+48\)

Therefore the inverse of \(f(x) = \frac{1}{4}x-12\) is \(f^{-1}(x) =4x+48\).

Hope this helped!

It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.

We are given that 8 men can dig the hole in 9 hours.

This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.

Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.

If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.

To find the new time, we divide the total man-hours by the number of men:

72 man-hours / 10 men = 7.2 hours.

Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.

In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.

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We can conclude that the value of M<16 = 584.

So, M<16:

Then,

Now,

Therefore, we can conclude that the value of M<16 = 584.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

x = 6 + 2y

hope it helps...!!!

Answer:

7.14 in²

Step-by-step explanation:

A = LW

A = 2 x 2 = 4

-----------------------------------------------------------------------------------------------------------------

A = 3.14r²

A = 3.14 (1²)

A = 3.14 (1)

A = 3.14

-----------------------------------------------------------------------------------------------------------------

3.14 + 4 = 7.14

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The graph of the equations (y = 10x + 100), (y = 10x), and (y = 12.5x) can be drawn by using the rules of transformation.

Given :

y = 100 + 10x

y = 10x

y = 12.5x

The following steps can be used to sketch the graph of the given line

(y = 100 + 10x):

Step 1 -

First sketch the graph of (y = x).

Step 2 -

Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)

Step 3 -

Then find the y-intercept from the given equation. Then draw the line that passes through (0,100). The resulting line is the graph of

(y = 100 + 10x).

The following steps can be used to sketch the graph of the given line

(y = 10x):

Step 1 -

First sketch the graph of (y = x).

Step 2 -

Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)

The following steps can be used to sketch the graph of the given line

(y = 12.5x):

Step 1 -

First sketch the graph of (y = x).

Step 2 -

Then Multiply the x-axis by a factor of 12.5. The resulting graph is the graph of (y = 12.5x)

The graph of all the equations together is attached below.

Red line shows the graph of (y = 10x + 100).

Blue line shows the graph of (y = 10x)

Green line shows the graph of (y = 12.5x)

Complete Question:

Go to your math tools and open the Graph tool to graph Gwen's and Tristan's equations. Hint: To create the graph, select the correct relationship and then enter the values for the variables. You will need to change the scales for the x- and y-axes. When deciding the scale, ask yourself what x and y stand for, and what would be reasonable amounts for their minimum and maximums.

Do the two lines intersect? Why or why not? What does this mean in terms of the situation? If the lines intersect, at what point do they intersect

and what does this point mean in terms of the situation? Paste a screenshot of your graph in the space provided.

I just need help on graphing the equation I can take the screen shot my self. The equation for Gwen is Y = 100+10x

The equation for Kieth is Y = 10x

The equation for Tristan is Y = 12.5x

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Answer:guys like please the picture is down there just copy and paste and bro the answers in words are given stop ignoring experts

Step-by-step explanation:

The equation for Gwen is Y = 100+10x

The equation for Kieth is Y = 10x

The equation for Tristan is Y = 12.5x

credits to

jaiswaljyoti

Answer:-0.924025

Step-by-step explanation:

[(9.65 - 9.74) / 9.74] × 100%

= -0.0092402464066 × 100%

= -0.92402464066%

where's the "following" choices

Answer:

0.0001

Step-by-step explanation:

10^-4 = 0.0001

Answer:

The slope is 60

The y intercept is 95

The independent variable is x (the number of hours)

The dependent variable is y (The amount earned.)

Step-by-step explanation:

The required length of the wire is given 24 feet long.

Given that,
A wire bolted to the ground 12 feet away from the base, is helping a tree stay upright. if the angle of elevation of the wire is 60 degrees,

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
Base measure = 12 feet
The angle of the elevation = 60°
Hypotenuse measure (wire length) = base measure / cos60
= 12 / cos60
= 24

Thus, the required length of the wire is given 24 feet long.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

-1.33333 < x

Step-by-step explanation:

subtract 5 from both sides

get -4<3x

divde 3 by both sides

-1.33< x

Hi, there!

 _______

The first step is:

» Subtract both sides by 5

\(\sf{-4 < 3x}\)

Now divide each term by 3:

\(\sf{-\dfrac{4}{3} < x}\)

We can flip it over:

\(\sf{x > -\dfrac{4}{3}}\)

Hope the answer - and explanation - made sense,

happy studying!!

Explanation is in the file

tinyurl.com/wtjfavyw

#hope it helps ^_^

mark me as brainliest please

Answer:

Bus B

Step-by-step explanation:

For both buses, the slope is the speed.

Bus A: y = 125/2 x

m = 125/2 = 62.5

Bus A travels at 62.5 mph

For Bus B, wee look at the graph.

When x = 3, y = 200.

m = 200/3 = 66.666...

Bus B travels at 66.7 mph

Answer: Bus B

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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Answer:

40

Step-by-step explanation:

Answer:

40

to solve this question

let the unknown number be x

Then,. x * 15% = 6

x * 15/100 = 6

x = 6*100/15

c = 40

hope it helps

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

B

Step-by-step explanation:

B