Determine the equation of the line.

The question is an illustration of parallel lines, and equivalent ratios

The length of pt is 11.7 cm

Given that:

[tex]pr = 7cm[/tex]

[tex]ts =3cm[/tex]

[tex]tq = 5cm[/tex]

This means that:

[tex]pr : ts = pt : tq[/tex]

Substitute values for pr, ts and tq

[tex]7cm : 3cm =pt : 5cm[/tex]

Express the ratios as fractions

[tex]\frac{7cm }{ 3cm }= \frac{pt}{5cm }[/tex]

Cancel out the common units

[tex]\frac{7}{ 3}= \frac{pt}{5cm }[/tex]

Cross multiply

[tex]3pt = 35cm[/tex]

Divide both sides by 3

[tex]pt = 11.7cm[/tex]

Hence, the length of pt is 11.7 cm

Read more about equivalent ratios at:

https://brainly.com/question/2328454

Answer:

64/24

32/12

16/6

8/3

8:3

Hope This Helps!!!

Answer:

green bay packers all dayyy

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]

Answer:

Step-by-step explanation:

Hey there!

“63 + 49”

21(3 + 2)

= 21(3) + 21(2)

= 63 + 42

= 105

Option A. isn’t the answer because the equation for that is: 63 + 42

7(9 + 7)

= 7(9) + 7(7)

= 63 + 49

= 112

Option B. could possibly be your answer

9(7 + 6)

= 9(7) + 9(6)

= 63 + 54

= 117

Option C. isn't your answer because the equation for that is: 63 + 54

3(21 + 16)

= 3(21) + 3(16)

= 63 + 48

Option D. isn’t your answer because the equation for that is: 63 + 48

Thus, this makes makes [Option B. 7(9 + 7)] is your answer

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

18900

Step-by-step explanation:

I Can't Believe There Still Work It's Christmas Break

Answer:

A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.

Step-by-step explanation:

but what graph

The Ferris wheel makes 4 rotations.

The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

It should be noted that modern entertainment has played a vital role in shaping African culture and homes.

Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.

Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.

Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.

Learn more about entertainment on:

https://brainly.com/question/773944

Answer:

its 11

Step-by-step explanation:

because when you add 6 and 5 your answer will be 11 and its very easy and clear

Answer:

45/3 = 15

They each where $15

Hope that helps

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

All you need to do is divide 45 by 3 and you get 15

Answer:

Step-by-step explanation:

123

Answer:

has no prison pits as melatarea

Answer:

44

Step-by-step explanation:

Answer:

B. (-3,-8)

Step-by-step explanation:

I have aced tests on these. You can trust this is correct - plus it's verified by a calculator.

Answer:

B

Step-by-step explanation:

x - 4y = 4 → (1)

3x - 4y = - 12 → (2)

Multiplying (1) by - 1 and adding to (2) will eliminate the y- term

- x + 4y = - 4 → (3)

Add (2) and (3) term by term to eliminate y

2x + 0 = - 16

2x = - 16 ( divide both sides by 2 )

x = - 8

Substitute x = - 8 into either of the 2 equations and solve for y

Substituting into (1)

- 8 - 4y = 4 ( add 8 to both sides )

- 4y = 12 ( divide both sides by - 4 )

y = - 3

solution is (- 8, - 3 ) → B

Answer:

country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5

why  you take my profile picture  hello.....

Answer:

.8x dollars

Step-by-step explanation:

Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.

Answer:

$.80x

Step-by-step explanation:

0.80x

Answer:

y = 9/8   for part one of solving y in this equation .

Step-by-step explanation:

Answer:

x=  (√2y+6/2)-1

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

2x^2+4x−1=y

Subtract y from both sides.

2x^2 +4x−1−y=0

Using quadratics formula:

x=-4±√4²-4*2(y-1)/2*2

x=  −4±2√ 2y+6/4

Next solve the equation by using either ± = subtraction or addition

I am using ± = addition. This means I add -4 to 2. From there I simplify equation.

x=  (√2y+6/2)-1

Not sure if this means to find x, but I think this is what it would be.

​

Answer:

subject tooo

Step-by-step explanation:

sorry

Answer:

$450.50

Step-by-step explanation:

Answer:

-49

Step-by-step explanation:

Make sure you understand the difference between

-3² and (-3)²

-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9

(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9

Ok, now we can start. Use the correct order of operations.

-3² + (2 - 6)(10) =

= -9 + (-4)(10)

= -9 + (-40)

= -9 - 40

= -49

Answer:

A and F

Step-by-step explanation:

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2 , then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line

m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50

The line crosses the y- axis at (0, 100 ) ⇒ c = 100

y = 50x + 100 ← equation of line

where y is monthly savings and x the time in months

(b)

Slope is the monthly deposit , that is $50 per month

The y- intercept indicates the original amount in her account , that is $100

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. x mayor que 5

Answer:

Step-by-step explanation:

(1). (x - h)² + (y - k)² = r²

where (h, k) are coordinates of a center of the circle with radius r

(2). ( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~~~~~

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4