What is a equation of a line perpendicular to -x+2=y that intersects the line at (-1.5,3.5)

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6[/tex]

In triangle STU:

[tex]|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2[/tex]

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Similar triangles may or may not be congruent

Triangles PQR and STU are similar by SSS theorem.

The vertices of triangle PQR are given as:

[tex]P= (4, 4)[/tex]

[tex]Q= (-2, 0)[/tex]

[tex]R = (-2, 4)[/tex]

The vertices of triangle STU are given as:

[tex]S = (2, -4)[/tex]

[tex]T = (-1, -2)[/tex]

[tex]U =(-1, -4)[/tex]

Start by calculating the side lengths of the two triangles, using the following distance formula

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

For triangle PQR, we have:

[tex]PQ = \sqrt{(4 --2)^2 + (4 -0)^2} = \sqrt{52}[/tex]

[tex]PR = \sqrt{(4 --2)^2 + (4 -4)^2} = 6[/tex]

[tex]QR = \sqrt{(-2 --2)^2 + (0 -4)^2} = 4[/tex]

For triangle STU, we have:

[tex]ST= \sqrt{(2 --1)^2 + (-4 --2)^2} = \sqrt{13}[/tex]

[tex]SU= \sqrt{(2 --1)^2 + (-4 --4)^2} = 3[/tex]

[tex]TU= \sqrt{(-1 --1)^2 + (-2 --4)^2} = 2[/tex]

Check if the side lengths of both triangles are similar, by dividing corresponding sides

[tex]k = \frac{PQ}{ST} = \frac{\sqrt{52}}{\sqrt{13}} = 2[/tex]

[tex]k = \frac{PR}{SU} = \frac{6}{3} = 2[/tex]

[tex]k = \frac{QR}{TU} = \frac{4}{2} = 2[/tex]

Because the scale factors of the side lengths are the same, then both triangles are similar by SSS theorem.

Read more about similar triangles at:

https://brainly.com/question/8691470

Answer:

b

Step-by-step explanation:

Answer:

the answer is D

Answer:

D

Step-by-step explanation:

Answer:

2.925

this is the answer

Answer:

2.93

Step-by-step explanation:

This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.

The length of the gold wire that is 15 metres in millimetres is 15000 mm

The scientist is working with 15 metres of gold wire.

The wire is in metres.

Therefore, let's convert it millimetres.

1 m = 1000 mm

15 m = ?

cross multiply

length(mm) = 15 × 1000

length(mm) = 15000 mm

learn more on length here: https://brainly.com/question/308075

#SPJ2

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

Step-by-step explanation:

f(2)=18-2=16

f(3)=16-2=14

f(4)=14-2=12

Then,

f(5)=12-2=10

the answer is 10

Answer:

21

Step-by-step explanation: You have to first put all the numbers in order and divided it by the amount of numbers that are in ur set and boom ur done.

Answer:

10.5

Step-by-step explanation:

Answer:

This is the answer.....

Please add as Brainlist

Answer:

WAP MOMENTYSHEHWJWUE

Answer:

The answer is "option c".

Step-by-step explanation:

Please find the complete question in the attached file.

The center angle of the CBD arc is equivalent to the arc:  

[tex]\to 300^{\circ} = \frac{5\pi}{3} \ radians\\\\[/tex]

[tex]\to 180^{\circ}\ is\ \pi \ radians, \ so \ (\frac{5 (180^{\circ})}{3})\\[/tex]

[tex]= 300^{\circ} \\\\ = (\frac{5 \pi}{3}) \ radians[/tex]

Answer:

C

Step-by-step explanation

Bottom

Answer:

11

Step-by-step explanation:

1+red/3=4/1 so 1+red=12 so red=11. we should add 11 red counters

Answer:

Add 15 red counters

Step-by-step explanation:

Number of red counter is 1

Number of blue counter is 3

1:3⇒4:1

Now to make ratio reverse you need to add 11 (12-1) more red counters so that ratio becomes

12:3=4:1

hope this helps

Answer:

the answer is option number b ( less than 90° )

hope this answer will help you

Answer:

706/1000

Step-by-step explanation:

1. Remove decimal point.

2. Use 1000 as denominator.

3. Use 706 as the numerator.

Answer:

y=5x

Step-by-step explanation:

Answer:

-3.75

Step-by-step explanation:

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

Thank you! Btw can i please get brainly :3

Answer:

2357.14

Step-by-step explanation:

  x - .30x = 1500(1.10)

          .7x = 1650

            x = 2357.14

Answer:

okay

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

First calculate 5/11 of 99

   99 / 11 * 5 = 45

Then subtract your answer from 99

   99 - 45 = 54

Answer:

debt-to-income ratio= 0.7125

Step-by-step explanation:

Giving the following information:

Monthly expenses= $2,850

Monthly income= $4,000

To calculate the debt-to-income ratio, we need to use the following formula:

debt-to-income ratio= monthly debt payment / gross monthly income

debt-to-income ratio= 2,850/4,000

debt-to-income ratio= 0.7125

As a percentage:

debt-to-income= 0.7125*100

debt-to-income= 71.25%

The debt-to-income ratio is the percentage of your income dedicated to paying your debts.

Answer:

The answer should be $12.43

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

[tex]b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55[/tex]

General equation of hyperbola is :

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1[/tex]

Hence, this is the required solution.

Answer:

*3rd option*

y intercept (0, 2)

x intercept (-1/2 , 0)

Step-by-step explanation:

First, rearrange the equation so y is on one side, the rest of the terms on the other.

y+2 = 4x + 4

y = 4x+2

The y intercept is 2 because x=0, y = 2

rearrange where x is on one side

4x = -y + 2

x = -1/4y - 1/2

The x intercept is -1/2 because when y=0, x=-1/2

please give thanks :)

and brainliest :)

hope this helps

Answer:

I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere hope it help

Step-by-step explanation:

Answer:

3 shirts, 6 shorts

Step-by-step explanation:

A total of $264 is spent during shopping on shirts and shorts

Each shirt costs $24

Each shorts cost $32

Therefore the quantity of shirts and shorts bought can be calculated as follows

24× 3= 72

32×6= 192

192+72= 264

Hence 3 shirts and 6 shorts were bought

Answer:

The true statement is h < k ⇒ (3)

Step-by-step explanation:

∵ The equation of the graph is y = [tex]\sqrt{x+h}[/tex] + k

∵ (-h, k) are the coordinates of its vertex point

∵ -h is the x-coordinate of the vertex point

∵ x-coordinate of the vertex point is -3

∴ -h = -3

→ Divide both sides by -1

∴ h = 3

∵ k is the y-coordinate of the vertex point

∵ y-coordinate of the vertex point is 4

∴ k = 4

∵ 3 < 4

→ That means h is smaller than k

∴ h < k

∴ The true statement is h < k