Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .

Answer:

The other length would be 6.

Step-by-step explanation:

Rectangle area is l times height. So x is either the length for height. So we have 5 times x = 30. To find the other length we have to take 30/5 which equals 6

Answer:

[tex]-6x^2r-4xr+2r[/tex]

Step-by-step explanation:

[tex]f(x)=-3x^2-2x+1\\\\2[f(r)][/tex]

Plug in the value of f of x into the second expression:

[tex]2[(-3x^2-2x+1)(r)][/tex]

Use the distributive property to distribute the two:

[tex]2(-3x^2)+2(-2x)+2(1)[r]\\\\-6x^2-4x+2[r][/tex]

Distribute each value among r:

[tex]-6x^2r-4xr+2r[/tex]

:Done

Answer:

B and D

Step-by-step explanation:

Those are correct. She won't lose $10, and she will lose $30, not $20.

Hope this helps plz mark brainliest ;D

Answer:

A

Step-by-step explanation:

Domain is the x values only

Answer:

y = - 5x - 5

Step-by-step explanation:

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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-0}{0+1}[/tex] = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line

Answer:

$117.14

Step-by-step explanation:

A "sales tax" refers to a specific amount of money (according to its percentage) that you need to pay other than the price of the good stated.

So, if the price of the smart watch is $109.99 and the sales tax is 6.5%, you have to know much is 6.5% of $109.99. This can be computed by using the multiplication operation.

109.99 x 6.5% (0.065) = $7.15 (this is the sales tax)

In order to know the total cost of the smart watch, you have to add the sales tax to the price of the smart watch.

$109.99 + $7.15 = $117.14

The total cost of the smart watch is $117.14

Answer:

$117.14

Step-by-step explanation:

I toke the quiz and a k12 student.

Answer:

[tex]\displaystyle x=\sqrt{\frac{2U}{k}}[/tex]

The third option is the correct answer.

Step-by-step explanation:

Equation Solving

We have the following equation:

[tex]\displaystyle U=\frac{1}{2}kx^2[/tex]

And it's required to solve it for x.

To solve this equation we need to perform some operations to have the x isolated from any other variables, constants, or operations.

This will be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 2:

[tex]\displaystyle 2U=kx^2[/tex]

Move k to the other side by dividing by k:

[tex]\displaystyle \frac{2U}{k}=x^2[/tex]

Swapping sides to have x at the left side:

[tex]\displaystyle x^2=\frac{2U}{k}[/tex]

Taking the square root:

[tex]\mathbf{\displaystyle x=\sqrt{\frac{2U}{k}}}[/tex]

The third option is the correct answer.

Answer:

x=0

Step-by-step explanation:

6x-18=4(2x-3)-(2x+6)

We move all terms to the left:

6x-18-(4(2x-3)-(2x+6))=0

We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:

4(2x-3)-(2x+6)

We multiply parentheses

8x-(2x+6)-12

We get rid of parentheses

8x-2x-6-12

We add all the numbers together, and all the variables

6x-18

Back to the equation:

-(6x-18)

We get rid of parentheses

6x-6x+18-18=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

Answer:

22 < x < 74

Step-by-step explanation:

Given 2 sides of a triangle with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

48 - 26 < x < 48 + 26 , so

22 < x < 74

Answer:

18 bottles of water for $10 because each bottle costs 56c compared to 6 bottles of water for $4 at 67c

Step-by-step explanation:

All values rounded to the hundredth

6 bottles of water for $4

4/6=0.67

Each bottle costs 67c

18 bottles of water for $10

10/18=0.56

Each bottle costs 56c

Answer:

the answer is C

Step-by-step explanation:

Answer:

Answer:

no solution

Step-by-step explanation:

Simply substitute the value of 3 given. In other words,

f(3) is the function of

f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplify

f(3)=5

Answer:

11 / 3 hours

Step-by-step explanation:

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

Answer:

0.5 I believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a reflection over x-axis.

Answer:

A

Step-by-step explanation:

To get the answer here, we simply start looking from what we had initially

From the initial point, we can see that line p and line r are perpendicular

The reason for this is because, line q serves as a point for the two and since q is perpendicular to p and r, then p and r are perpendicular

So since s is parallel to like p and line p

is perpendicular to r, then r and and s must be parallel too

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

Learn more about sequence from here:

https://brainly.com/question/21961097

#SPJ2

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

Answer:

7

Step-by-step explanation:

42/6 = 7

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

Answer: -7

Step-by-step explanation:

5x - 7 = 8x + 14 ->    5x = 8x + 21  ->   -3x = 21  ->   x = -7

Answer:

|4x-2|">"-6

add 2 to both sides

4x">"-4

divide both sides by 4

x">"-1

the ">" means greater than or equal to, I just don't have that character on my keyboard

Step-by-step explanation:

so the answer is x is greater than or equal to -1

IN: (-∞,-1]

for number line: You would write the number line from -1-10  

then, you would put  a closed dot on negative one, with an arrow going to the right!

Hope this helped! <3

Answer:

-3

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Answer:

Equivalent fraction: 45/100

Reduced fraction: 9/20

Decimal equivalent: 0.45

Step-by-step explanation:

Equivalent fraction: percentage is just out of 100. 45% is 45 out of 100, aka 45/100.

Reduced fraction is just simplifying both sides by the GCF. In this case, 5.

Decimal equivalent of a percentage is just dividing the numerator by the denominator, or taking the numerator or the percentage and placing the decimal point forward two digits.

Answer:

45|1000

Step-by-step explanation:

urjrbrbruw9qi1i818

Answer:

5x+2=17

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

17-2=15

15/5=3