To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?

Given:

A line passes through (1,-2) and is perpendicular to [tex]-4x+7y=21[/tex].

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

[tex]-4x+7y=21[/tex]

Slope of this line is

[tex]m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}[/tex]

[tex]m_1=-\dfrac{-4}{7}[/tex]

[tex]m_1=\dfrac{4}{7}[/tex]

Product of slope of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]\dfrac{4}{7}\times m_2=-1[/tex]

[tex]m_2=-\dfrac{7}{4}[/tex]

Now, slope of required line is [tex]-\dfrac{7}{4}[/tex] and it passes through (1,-2). So, the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-2)=-\dfrac{7}{4}(x-1)[/tex]

[tex]4(y+2)=-7(x-1)[/tex]

[tex]4y+8=-7x+7[/tex]

[tex]4y+7x=7-8[/tex]

[tex]7x+4y=-1[/tex]

Therefore, the equation of required line is [tex]7x+4y=-1[/tex].

Answer:

Step-by-step explanation:

I hope you dont have to show your work because I am not showing how you do all of those aha.

part 1:

1. p=72, a= 612

2. p=194, a= 32.5

3. p=300, a= 1500

4. p=221, a= 35

and um... I dont know how to do part two. sorry

Answer: Simple interest = $5,500

Step-by-step explanation:

Interest formula:

I = prt

Convert 5% to 0.05

I = 22,000 × 0.05 × 5 = 5,500

I = $5,500.00

Answer:

Select the proportional relationship.

That is the only thing that is in the checkbox. It won't let you continue unless you get something.

Answer:

x = 4 , y = 2

Step-by-step explanation:

3x+9y = 30 --------- (1)

2(3x+9y)+x = 64 ---------(2)

substitute (1) into (2)

2(30)+x = 64

60+x = 64

x = 64-60

x = 4

substitute x=4 into (1)

3x+9y = 30

3(4)+9y = 30

12+9y = 30

9y = 30-12

9y = 18

y = 18/9

y = 2

thus, x = 4 and y = 2

Answer:

Step-by-step explanation:

use known angles and rules to find unknown values

vertical angles (pairs of angles on opposite sides of an intersection) are equivalent

supplementary angles (angles found next to each other on a line) add up to 180 degrees

opposite interior angles are equivalent

And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"

using these rules you can find all missing angles.

1= 75

2=180-75=105

let me know if you need more help than this

Answer:

About 304.

Step-by-step explanat:

Answer:

It is the third one.

Step-by-step explanation:

Since the question is asking us that h(x) represents the height of the bridge the answer can be determined.

..............................

x=-9/2

x=-3/4

x = 6

y = 21

y = 2x + 9

y = 4x - 3

2x + 9 = 4x - 3

• Get the like-terms together:

9 + 3 = 4x - 2x

12 = 2x

• Divide 2x and 12 by 2 (to get x by itself):

12 ÷ 2 = 2x ÷ 2

6 = x OR x = 6

• To find the value of y, we have to substitute x into one of the equations (it doesn't matter which equation you plug x into, if the value of x is correct, both will equal the same number):

y = 2(6) + 9

y = 12 + 9

y = 21

y = 4(6) - 3

y = 24 - 3

y = 21

Please mark me the Brainliest!?!

Answer:

Number of necklaces = 8

Number of bracelets = 20

Step-by-step explanation:

Given that:

Mellisa is making and selling the necklaces and bracelets.

Number of pieces of jewelry made on one day = 28

Number of bracelets was 4 more than the twice the number of necklaces.

To find:

Number of each type of jewelry made = ?

Solution:

Let number of bracelets = [tex]b[/tex]

Let number of necklaces = [tex]n[/tex]

As per question statement:

[tex]b+n=28[/tex] ...... (1)

[tex]b = 2n+4[/tex] ...... (2)

Putting the value of [tex]b[/tex] in equation (1):

[tex]2n+4+n=28\\\Rightarrow 3n = 28-4\\\Rightarrow 3n = 24\\\Rightarrow n =\bold{8}[/tex]

By equation (1):

[tex]b + 8 =28\\\Rightarrow b = \bold{20}[/tex]

So, the answer is:

Number of necklaces = 8

Number of bracelets = 20

Answer:

not at all

Step-by-step explanation:

Answer:

I think it's D, I'm not really sure, but that's my best answer.

Step-by-step explanation:

None.

Answer:

Multiply (1) by 5.

5x+20y=15

-5x-20y=-15.

Add

0=0.

Infinetly many solutions.

I know this is correct because if i do -(-5x-20y=-15)

it will be 5x+20y=15 which is the same as (1)

Hope this helps plz hit the crown :D

Answer:

sorry but it is undefined

Answer:

(4,-2)

Step-by-step explanation:

you could use substitution and all that, but i use desmos

Answer:

Step-by-step explanation:

5degrees

There are 16 more stamps from France than Germany.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Scott's stamp collection:

Germany = 59

Spain = 53

France = 75

The difference between the number of stamps between Germany and France.

= 75 - 59

= 16

Thus,

There are 16 more stamps from France than Germany.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

A:3

Step-by-step explanation:

replace y by 4..so it would be 4-1=3

Answer:

30 eggs

Step-by-step explanation:

multiply 5 times 6

Answer:

21

Step-by-step explanation:

21-12=9

Answer:

z - 12 = 9

z = 9+12

z=21

Answer:

z=−215z=-215

Step-by-step explanation:

z=−215z=-215

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

Answer: what is a and c

Step-by-step explanation:

We need a and c to solve for b.

Answer:

Step-by-step explanation 121 is the answer and it doesn't let me show work.

Answer:

68 degrees

Step-by-step explanation

If <3 and <4 are vertical angles, then <3 = <4

This means that

9x + 5 = 5x + 33

9x - 5x  = 33 - 5

4x = 28

x = 28/4

x = 7

Since <4 = 5x+ 33

<4 = 5(7) + 33

<4 = 35 + 33

<4 = 68 degrees

Hence the measure of <4 is 68 degrees

Answer:

A and B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

It's not a right triangle because [tex]16^{2} + 18^{2} > 24^{2}[/tex]

Step-by-step explanation:

[tex]16^{2} + 18^{2} > 24^{2}[/tex]

[tex]16^{2} = 256\\\\18^{2} = 324\\\\256 + 324 = 580\\\\580>24^{2} \\\\24^{2} = 576\\\\580>576[/tex]

Hope this helped!!!!!