What is the distance between the following points ?

Answer:

(-3, -5)

Step-by-step explanation:

By using the distance formula, we see that the length of RT is [tex]\sqrt{(6+9)^2+(-2+7)^2}[/tex] which equals [tex]5\sqrt{10}[/tex].

The ratio of RS to ST is 3:2, so we can write the distance of RS as [tex](5\sqrt{10} / 5) * 3[/tex] which equals [tex]3\sqrt{10}[/tex]. The distance of ST is then [tex]2\sqrt{10}[/tex].

Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:

[tex]\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10}[/tex] and [tex]\sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}[/tex]

We solve for x and y, getting (-3, -5).

The required coordinate point s is (-3, -5).

Given that,
The points R (6,-2) and T (-9,- 7).
To find the coordinates of point S on line RT such that the ratio of RS to ST is 3: 2​

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Let the coordinates of s be (x, y)
Applying the section formula,
x = [mx₂ + nx₁]/ m+n   ; y = [my₂ + ny₁]/ m+n
Since, m = 3 n = 2,
x = [3*-9 + 6*2] / 3 + 2 ; y = [-7*3 + -2*2] / 3 + 2
x = [-27 + 12] / 5          ; y =  [-21 - 4]/ 5
x = [-15] / 5                  ; y = -25 / 5
x = -3                          ; y = -5

Thus, the required coordinate point s is (-3, -5)

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Answer:

{ x | -7 ≤ x ≤ 4 }

Step-by-step explanation:

Answer:

Step-by-step explanation:

If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².

Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²

If each person takes up 2.5ft², total number of people in the arena will  be gotten by simply dividing the area of all the four sides by the area took up by each person.

Total number of people in the arena = area of all the four sides by the area/ area took up by each person.

Total number of people in the arena = 2400/2.5

Total number of people in the arena  = 960 people.

Hence there are approximately 960 people in the arena.

100% cause owen only has 3 yellow pencils

Answer:

Step-by-step explanation:

The

O over 3 or 1 over 3 or 3 over 3 or 3 over 1

Answer:

3 feet

Step-by-step explanation:

The diagram showing the pool and the walkway has been attached to this response.

The area of the pool = 15feet x 17 feet = 255 square feet

The total area of the pool and the walkway = 483 square feet

The area of the walkway is the difference between the total area and the area of the pool. i.e

Area of walkway = total area - area of pool

Area of walkway = 483 - 255 = 228 square feet

Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.

Area of rectangle A = (17 + 2x) * x = 17x + 2x²

Area of rectangle B = (17 + 2x) * x = 17x + 2x²

Area of rectangle C = 15 * x = 15x

Area of rectangle D = 15 * x = 15x

Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D

228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]

228 = 64x + 4x²

4x² + 64x - 228 = 0

Divide through by 4

x² + 16x - 57 = 0

Now let's solve the quadratic equation:

x² - 3x + 19x - 57 = 0

x(x - 3) + 19(x - 3) = 0

x - 3 = 0     or     x + 19 = 0

x = 3          or      x = -19

Since width cannot be negative, the correct solution is x = 3

Therefore, the width of the walkway is 3 feet

Answer:

5x - 18

Step-by-step explanation:

3(x-5)+ 2x-3

Distribute

3x -15 +2x -3

Combine like terms

5x -18

Answer:

5x - 18

Step-by-step explanation:

3(x-5) + 2x - 3

=(3*x + 3*-5) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

Answer:

[tex]\sqrt{x}[/tex]

Step-by-step explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power: [tex]x^{\frac{1}{6}}[/tex]

That to the power of 3:

[tex](x^{\frac{1}{6}})^3[/tex]

Using exponent rules, since we have a power to a power, the powers multiply, so:

[tex]x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}[/tex]

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:

[tex]x^{\frac{1}{2}} = \sqrt{x}[/tex]

Hope this helped!

Answer:

x 1/2 took the quiz

Answer: Jenna sold 280 and Becca sold 105 boxes.

Step-by-step explanation:

Let 3x be the number of cookies Becca sold.

Then, the number of cookies Jenna sold = 8x

Since Combined, they sold a total of 385 boxes of cookies.

So, [tex]3x+8x=385[/tex]

[tex]\Rightarrow\ 11x=385\\\\\Rightarrow\ x=\dfrac{385}{11}\\\\\Rightarrow\ x=35[/tex]

So, Jenna sold 8(35) = 280 boxes

and Becca sold 3(35)=  105 boxes

Hence, Jenna sold 280 and Becca sold 105 boxes.

Answer:

D.

Step-by-step explanation:

4.526 x 10^6 = 4,526,000.

55,246,900 is greater than this.

Answer: Hi!

First, we will find value of the equation given, 4.526 * 10^6.

We will solve the exponent first.

10^6 = 10*10*10*10*10*10 = 1,000,000

Now, we will multiply 1,000,000 by 4.526.

4.526 * 1,000,000 = 4,526,000

4,526,000 is the value of 4.526 * 10^6.

We can automatically tell that d), 55,264,900 is greater than 4,526,000. Therefore, d) is your answer.

Hope this helps!

Answer:

x<3. Hope this helps!

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Step 1: Write out equation

8/r + 9b

Step 2: Define variables

r = 2

b = 7

Step 3: Replace variables

8/2 + 9(7)

4 + 63

67

Answer:

Step-by-step explanation:

A= LxW

Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,

                                    (w + 2) x w = 48

w(w+2)=48

Answer:

B)w(w + 2) = 48

Step-by-step explanation:

edg2021

He went upstream 3 hours and downstream two. 4x3=12  6x2=12

He went 24 miles.

Answer:

Its 9.6

Step-by-step explanation: i did savas

Answer:

y = 0.6x

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (1.2 - 0)/(2 - 0)

m = 1.2/2

m = 0.6

y = 0.6x

Step 2: Find y-intercept b

(0, 0) is y-int

Equation is y = 0.6x

Step 3: Graph

Use point (-5, -3) and (0, 0) to graph

Answer:

4

Step-by-step explanation:

(5+1)^2−(11+3^2) / 4 = 4

Answer: 31

Step-by-step explanation:

Answer:

1=145°

2=35°

3=145°

Step-by-step explanation:

A straight line always measures 180°

35°+a=180°

a=180°-35°

a=145°

Therefore <1=145°

a=<1=145°

b=<2

a+b=180°

145°+b=180°

b=180°-145°

b=35°

b=<2

c=<3

b+c=180°

35°+c=180°

c=180°-35°

c=145°

Hope this helps ;) ❤❤❤

Let me know if there is an error in my answer.

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Answer:

A

Step-by-step explanation:

Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.

Answer:

Step-by-step explanation:

g(5) = 5 - 2 = 3

f(3) = 3(3) + 10 = 9 + 10 = 19

Step-by-step explanation:

[tex]tan60° = \frac{x}{10} = \sqrt{3} [/tex]

[tex]x = 10 \sqrt{3} [/tex]

Answer:

[tex]5[/tex][tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5^{2} + b^{2} = 10^{2}[/tex]

[tex]25+b^{2}=100[/tex]

[tex]100-25=b^{2}[/tex]

[tex]b^{2} = 75[/tex]

[tex]\sqrt{75} = 6.88[/tex]

[tex]6.88 = 5\sqrt{3}[/tex]

Hi there! :)

Answer:

[tex]\huge\boxed{6}[/tex]

Let "x" represent a number.

Adding the number to itself gives us x + x, or 2x.

Multiplying by 3 gets 36, therefore:

36 = 3 · 2x

Simplify:

36 = 6x

Divide both sides by 6:

36/6 = 6x/6

x = 6.

Answer:

Suku ke 5 adalah 56

Step-by-step explanation:

Harap jawapan tersebut betul

Answer:

a = (n+p)/m

Step-by-step explanation:

Divide both side by m to isolate a.

a = (n+p)/m

On solving for a, we get -  

a = [tex]$\frac{n +p}{m}[/tex]

We have the following expression -

am = n + p

We have to solve for ' a '.

On solving, we get -

πx + a = ω

πx = ω - a

x = [tex]$\frac{\omega-a}{\pi }[/tex]

According to the question, we have -

am = n + p

a = [tex]$\frac{n +p}{m}[/tex]

Hence, on solving for a, we get -  

a = [tex]$\frac{n +p}{m}[/tex]

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Answer:

2 hours

Step-by-step explanation:

given that the calorie burn rates are:

swimming: 400 cal / hour

rollerblading: 600 cal / hour

If he swims for 3 hours, he will burn:

400 cal / hour x 3 hours

= 1200 cal

Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:

2400 - 1200

= 1200 calories.

Number of hours of rollerblading to burn 1200 calories

= 1200 calories ÷ 600 calories per hour

= 2 hours

Answer:

B. y > = 2

The second part is

A. At least 2

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer:

A). Use any three points in the plane that are not on the same line.

C). Use a single capital cursive letter.

Step-by-step explanation:

A Plane is defined as a flat surface that is extending infinitely in each and every direction. For Example, a horizontal or a vertical plane. It is a two-dimensional, rigid, and flat. Since it extends infinitely, the width as well as its length cannot be measured.

A plane is  named in different ways like by 'using a capital letter in cursive script' or 'by naming the three non-collinear points lying on different lines.' For example, a plane can be named as plane 'P' or ABC. Thus, options A and C are the correct answers.

Answer:

7

Step-by-step explanation:

7

Answer:

the answer seems to be A

Answer:

A = –3

B = 7

Step-by-step explanation:

[(10x³y⁵)(4x²y¯²)/20x¯⁴yᵇ]ᵃ = y¹²/8x²⁷

The value of a and b can be obtained as shown in the attached photo.