what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

Therefore, the answer is 33x + 55y.

Answer:

2+y over 5

Step-by-step explanation:

5x + y =2

5x=2+y

x=2+y over t

Answer:

6,1 because 61's square root is 3721

A rectangle has 4 coordinates.

The coordinate of the last vertex is (-2,-8)

The points are given as:

[tex]\mathbf{A = (-7,-4)}[/tex]

[tex]\mathbf{B = (1,6)}[/tex]

[tex]\mathbf{C = (6,2)}[/tex]

Calculate distance AB

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

So, we have:

[tex]\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}[/tex]

Calculate distance CD

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

So, we have:

[tex]\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}[/tex]

Equate AB and CD

[tex]\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\[/tex]

Cancel out the squares

[tex]\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}[/tex]

By comparison

[tex]\mathbf{x -6 = -7-1}[/tex]

[tex]\mathbf{y-2 = -4-6}[/tex]

So, we have:

[tex]\mathbf{ x = 6-7-1 }[/tex]

[tex]\mathbf{ x = -2}[/tex]

[tex]\mathbf{y = 2-4-6 }[/tex]

[tex]\mathbf{y = -8}[/tex]

Hence, the coordinate of the last vertex is (-2,-8)

Read more about coordinates at:

https://brainly.com/question/2254540

Answer:

Step-by-step explanation:

Volume = mass * density

Substitute values and calculate:

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

Answer:

The slope is -1

Step-by-step explanation:

Slope formula:

In (9,-9):   9 is x1 and -9 is y1

In (1,-1):      1 is x2 and -1 is y2

m= y2-y1/x2-x2

m= -1+9/1-9

Which is 8/-8

Simplify:

-1

The slope is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.

Answer:

put it in desmos.................

Answer:  5.2×103. = 5.2×1000. = 5200

Step-by-step explanation:

Answer: x = -17

Step-by-step explanation:

4x-13=5x+4

(4x-13)+(13-5x)=(5x+4)+(13-5x)

4x-13+13-5x=5x+4+13-5x

4x-5x-13+13=5x-5x+4+13

-x=17

x=-17

Answer:

x = -1

Step-by-step explanation:

/4x-13/ = 5x + 4

4x +5x = -13 +4

9 x = -9

9x = -9

x = -1

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.

Answer:

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

x² - 8x + 16 will become ( x - 4 ) ( x - 4 ) or ( x - 4 )²

Answer:

This angle is not a right angle from what it looks like, but this angle if you turn it sideways, angle JKN should be a little more than 90 which classifies it as an obtuse angle.

Answer:

$72

Step-by-step explanation:

it is like how much someone earns for 8 hours of work at the rate of $9 per hour.

The rate of the answer is dollars since it's the money earned

Answer: 56

Step-by-step explanation:

Answer:

You would have a 80% chance.

Step-by-step explanation:

16 out of 20 is equal to 80%. ( I can't really explain how I got 80% -_-. ) Let me know if I'm wrong.

Answer:

x = 7/2 = 3.500

x = 4

 x=  0.0000 - 1.4142 i  

 x=  0.0000 + 1.4142 i

Step-by-step explanation:

sorry if its wrong

Answer:

The property used is Division property of equality to get the resulting equation since we divided both sides by 3

Given the inequality expression

3 (−13 x − 23) ≥ 3(7x + 3)

We are to know which of the property is used to arrive at  − 13 x − 23 ≥ 7x + 3

We can see that both sides of the expression were divided by 3 as shown:

[tex]\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\[/tex]

From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3

Learn more here: https://brainly.com/question/15816805

Answer:

I think its um 1.2 im sorry if im wrong

Step-by-step explanation:

Answer:

−10.9

Step-by-step explanation:

−4.6p−6.3p+3.9

Combine −4.6p and −6.3p to get −10.9p.

dp/d (−10.9p+3.9)

−10.9p ^1−1

so it is −10.9

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given expression.

[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]

We know that:

[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]

[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]

Therefore, the expression becomes:

[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]

[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]

[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \rm = \sec(x) - \tan(x) [/tex]

[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]

see the attachment!!

hope it helps

#carryolearning

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

Answer:

Step-by-step explanation:

x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i

 or:

x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.