Mathematics College

What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)

Answers

Answer 1

Answer:

-3/2

Step-by-step explanation:

The line shown has slope ...

... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3

The slope of the perpendicular line is the opposite of the reciprocal of this:

... -1/(2/3) = -3/2

Related Questions

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a 6?

Answers

n(E) = 16
n(S) = 52

P(E)=n(E)/n(S)
=16/52
=4/13

write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ 5 &,& -4) \end{array} \\\\\\ % slope = m slope = m\implies -\cfrac{3}{8} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=-\cfrac{3}{8}(x-5) \\\\\\ y+4=-\cfrac{3}{8}x+\cfrac{15}{8}\implies y=-\cfrac{3}{8}x+\cfrac{15}{8}-4\implies y=-\cfrac{3}{8}x-\cfrac{17}{8}[/tex]

Please help ASAP plz it due tomorrow

Answers

Try this option:
1. Rule for the sum of interior angles is: S=180°(n-2), where n - numbers of sides of n-gon.
2. using the formula shown above:
7 - 180*11=1980
8 - 180*16=2880
9 - 180*30=5400°
10 - 180*33=5940
11 - 180*5=900
12 - 180*24=4320
13 - 180*8=1440°
14 - 180*21=3780

A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost

Answers

$30 because 12/6 = 2 so 15 x 2 = 30

The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.

To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:

Cost per can = Total cost of the pack / Number of cans in the pack

Cost per can = $12 / 6 = $2

Now that we know the cost of one can, we can calculate the cost for 15 cans:

Total cost for 15 cans = Cost per can * Number of cans

Total cost for 15 cans = $2 * 15 = $30

Tony is building a dog house, and the front view of the roof is shown below

Answers

Answer:

The height is 21 inches.

Step-by-step explanation:

We can find the height by using Pythagoras theorem.

As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.

So, we can take the hypotenuse as 29 inches and base as 20 inches.

Now applying Pythagoras theorem, we get;

[tex]29^{2} =20^{2} +x^{2}[/tex]

[tex]841=400+x^{2}[/tex]

=>[tex]841-400=x^{2}[/tex]

=>[tex]x^{2} =441[/tex]

[tex]x=\sqrt{441}[/tex]

x=[tex]\sqrt{3*7*3*7}[/tex]

=> [tex]x=21[/tex]

Hence, the height is 21 inches.

The equation of straight lines L1 And L2 are .....
see the photo

Answers

Very interesting and inspiring problem.  Wish there are more of these.

First, we know that a possible equation of L2 is  y=1, then c=-1 => -y=-1 or y=1.
Of course, c could be just any negative number so that L2 lies above the x-axis.
=> c<0 ..........................................(III)  is true

Next, we note that L1 has a negative intercept, that meant that when x=0, y<0.  Go back to the original equation
ax+by=-1 => when x=0, by=-1, so b>0 in order for y to be negative.  So
b>0.   
We already know that c<0, so
b>c .....................................................................(II)  is true

Further, we note that L2 has a negative slope.  From the definition of slope, m, where m=-a/b 
=>
m=-a/b<0 => a/b>0.
We already know that b>0, so for a/b>0, a>0.  Therefore
a>0  ...................................................................(I)  is true

So we have established the truth values of (I), (II) and (III).
It will be up to you to select the answer choices.

Do check and understand all the arguments.  If in doubt, please post your queries.

Please the question is on the picture

Halves of the following
12
10
13
15
8
5

Answers

The question in the picture is very different from the question before the picture.

Half of 12 is ____
is a different question than
12 is ____ halves

When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.

One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.

12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10

Reduce the following fraction -32abc/64a^2bc^3

Answers

The numerator and denominator have a 32abc in common. We can reduce the fraction by factoring out this term. We are left with:

-1/(2ac^2)

The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?

Answers

So taking (0,-2) and (-3,-6) then it is -2-(-6)/0-(-3) or 4/3

Answer:

[tex]slope=\dfrac{4}{3}[/tex]

Step-by-step explanation:

Given: The table of linear function.

x :  -3  , 0 , 3,  6

y :  -6 , -2 , 2,  6

Slope=change in y over change in x

[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]

Passing point: (0,-2)

Point slope form:

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

[tex]y+2=\dfrac{4}{3}(x-0)[/tex]

[tex]y=\dfrac{4}{3}x-2[/tex]

Slope of the linear function [tex]=\dfrac{4}{3}[/tex]

Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]

Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]

Ms.jones has a decorative pyramid that sits on her fireplace mantle .the base is an equilateral triangle with an area of 6 square inches. The height of the pyramid is 15 inches. What is the volume?

Answers

The volume is given by
.. V = (1/3)Bh
Fill in the given values and do the arithmetic.
.. V = (1/3)(6 in^2)*(15 in)
.. V = 30 in^3

The volume is 30 cubic inches.

Final answer:

To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.

Explanation:

To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.

Substituting the values into the formula, we get:

V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in

V = 2 in² × 15 in

V = 30 in³

Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.

IMPORTANT

[how do you]Find sin theta if tan theta = 3/4

Answers

[tex]\bf tan(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{adjacent}{4}}\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{3^2+4^2}\implies c=5 \\\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\stackrel{hypotenuse}{5}}[/tex]

bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.

If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?

Answers

We know that m o n(x) = m(n(x))

This means           

                                     (x-3) + 5       x+2
                   m(n(x)) =  ------------- = --------
                                     (x-3) -1         x-4

The domain of this function is all real numbers - {4}

The function with the same domain is h(x) = 11/x-4

Answer:

It's C to save you time.

Step-by-step explanation:

Giving brainiest with legit answer is my answers correct?

Answers

yes, this is all correct!

The sales tax on a $45 DVD player is $3.38. What is the sales tax rate to the nearest tenth of a percent?

Answers

7%. 3.38 divided by 45 is 0.075111111.

subtract 1/4 from 7/8

Answers

the answer is 5/8. 
I hope this helps have a nice day!                                                                                 

7/8 - 1/4

 rewrite 1/4 with the same denominator as 7/8

1/4 = 2/8

now you have 7/8 - 2/8 = 5/8

 answer is 5/8

Select two fractions that can be written with a denominator of 24.

What answer is it.

1/6 1/5 5/7 9/10 1/9 7/8

Answers

1/6 and 7/8 hope it helpps
1/6 can be written as 4/24 and 7/8 can be written as 21/24

A recycling box holds 151,875 cm3 of material and has a square base with sides measuring 45 cm. What is the height of the recycling box? a. 33.8 cm b. 75 cm c. 1687.5 cm d. 3375 cm

Answers

The surfaces of the bottom is 45 * 45 = 2025 cm2.

Then the height of the box is 151 875 / 2025 = 75 cm

Write the following statement as an equation and solve. Jake​ Drewrey, owner of​ Jake's Landscape​ Service, knows that one of his fertilizer tanks holds four times as many gallons of liquid fertilizer as a second tank. The two tanks together hold 286 gal. If both tanks are filled to​ capacity, how many gallons of fertilizer does each tank​ hold?

Answers

Final answer:

The equation is : x + 4x = 286, where x represents the smaller tank's capacity.

Explanation:

To write the statement as an equation and solve it, let's denote the smaller tank's capacity as x gallons. Therefore, the larger tank would be 4x gallons because it holds four times as much. The problem states that together they hold 286 gallons, which gives us the equation:

x + 4x = 286

Combining like terms, we get 5x = 286. Dividing both sides of the equation by 5 to solve for x, we find:

x = 286 / 5

x = 57.2

Therefore, the smaller tank holds 57.2 gallons, and the larger tank holds 4 times that amount, which is 57.2 * 4 = 228.8 gallons.

Anthony wants to buy the same number of hats for 6 of his friends. He has $108 dollars, and each hat cost $8. what is the largest number of hats that Anthony buys for each of his friends?

Answers

108 Divided by 8= 13.5
13.5 Divided by 6= 2.25
So 2 Hats Each.

At middle ave school 1/3 of the students are on the track team.the track coach offered to buy a pizza or subs for everyone on the team.of the students for whom the coach bought good 3/5 ordered pizza.what fraction of the students at middle ave school atenpizza

Answers

Final answer:

To determine how many students at Middle Ave School ate pizza, multiply the fraction on the track team (1/3) by those who ordered pizza (3/5), which equals 3/15 or simplified to 1/5 of the students.

Explanation:

To find out what fraction of the students at Middle Ave School ate pizza, you need to multiply the fractions that represent the students on the track team and those who ordered pizza. Initially, we know that 1/3 of the students are on the track team. Of these students, 3/5 ordered pizza. Multiplying these two fractions gives us the fraction of the entire student body that ordered pizza.

To multiply fractions, you multiply the numerators together and then the denominators together. So, for this problem, you'd multiply 1 by 3 to get the numerator, and then 3 by 5 to get the denominator:

1/3 * 3/5 = 3/15

But 3/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

3/15 = 1/5

Therefore, 1/5 of the students at Middle Ave School ate pizza.

Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (larger x-value)

Answers

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

[tex]y'=6x^2+6x-12[/tex]

Next, find the zeros of y' by factoring.

[tex]6(x^2+x-2)=0 \\ x = -2, x = 1[/tex]

Now, we substitute these x-values into the original equation to find the coordinates. 

[tex](-2,21), (1,-6)[/tex]

What is the volume of this triangular pyramid?

Answers

V = (1/3)Bh = (1/3)*(1/2)(3 m)(4 m)*(6 m)
.. = 12 m^3

NEED HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.2?

Divide them by nine.
Divide them by six.
Divide them by three.
multiply them by three.

Answers

Answer:

Area of Original rectangle = 18 in²→→Pre image

Area of Rectangle after Dilation =2 in²→→Image

As, Pre image and image will be similar to each other.

And size of rectangle that is image is [tex]\frac{2}{18}=\frac{1}{9}[/tex] of the Original rectangle called Pre image.

So, option A, Divide the area of original rectangle by 9, that is dilation factor of [tex]\frac{1}{9}[/tex] has taken place.

Divide them by nine.

You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?

Answers

1) we have to calculate the lenght of the baseball field.
perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ftlenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)==350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second789,82 ft-----------------    x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer: 79 seconds.

PLEASE MARK ME AS THE BRAINLEIST
 

The correct answer for your question is 79 seconds.

Find the general solution of the differential equation x^2y′′+xy′−y=2x for x>0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.

Answers

[tex]x^2y''+xy'-y &=2x\\ x^2y''+2xy'-xy'-y &=2x\\ (x^2y')'-(xy)' &=2x\\ (x^2y'-xy)' &=2x\\ x^2y'-xy &=x^2+C_1\\ xy'-y &=x+\frac{C_1}{x}\\ x^2\left(\frac{y}{x}\right)' &=x+\frac{C_1}{x}\\ \left(\frac{y}{x}\right)' &=\frac{1}{x}+\frac{C_1}{x^3}\\ \frac{y}{x} &=\ln{x}-\frac{C_1}{2x^2}+C_2\\ y &=x\ln{x}-\frac{C_1}{2x}+C_2x[/tex]

Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij

Answers

We have a "rectangular" double loop, meaning that both loops go to completion.
So there are 3*4=12 executions of t:=t+ij.

Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.

Here the number of operations (+ or *) is exactly known (=24). 

Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.

Here we do not have a scale, nor n is defined.  The number of operations is constant and known at 24.   So a variable is required to find the big-O estimate.

Certain kinds of goods tend to have inelastic demand; a good usually has inelastic demand if what?

Answers

usually if it's an basic good, or very important one.

because the price fluctuations do not affect the quantity sold.

a good example of that would be milk, if the milk gallon is say $8, and a family needs 1 gallon daily, they buy it for $8.

if the price drops to $7, they might buy 2, but they only need 1 everyday, just in case they may get another.

if the price drops to $4 or even $3, they're not going to get 10 gallons, there's no need for it on an everyday basis, besides is a perishable.

now if the price goes up to $12, they still need it, and will buy it for $12.

For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?

J. 65.97 cubic centimeters

K. 20.36 cubic centimeters

L. 16.49 cubic centimeters

M. 56.48 cubic centimeters

Answers

Formula
V = (1/3) pi * r^2 h

pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm

V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3

L <<<<==== answer.

Answer:

Step-by-step explanation:

For the florist problem you would do 6 assistance

What is the period of the function y = 3 csc x?

Answers

since csc(x) is the reciprocal identity of sin(x), they both have the same period, and since sin(x) has a period of 2π, so does csc(x).

The period of the function is 2π.

What is period of the function?

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.

Given:

y = 3 csc x

As, csc(x) carry the reciprocal identity of sin(x).

So, they both have the same period

The period of sin(x) is 2π.

Hence, the period of csc(x) is 2π.

Learn more about period of function here:

https://brainly.com/question/14325171

#SPJ2

Choose the graph of y = four thirdscosthree halvesx

Answers

we have that

y = (4/3)* cos (3/2)x----------> y = (4/3)* cos (1.5x)

using a graph tool

the answer 
see the attached figure
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